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The decline of the West, Volume 1

Volume 1 — INDEX

Charles Francis Atkinson translation

Prepared by David Μ. Matteson

Aachen Minster, and style, 200

Abaca, Evaristo F. dall’, sonatas, 283

Abel, Niels H., mathematic problem, 85

Absolutism, contemporary periods, table iii

Abydos, 58n.; contemporaries, table ii

Abyssinia, cult-buildings, 209

Academy, contemporaries, table i

Acanthus motive, history, 215

Acheloüs, as god, 403

Achilles, archetype, 203, 402

Acre, battle, 150

Acropolis, contemporaries, table ii. See also Parthenon

Act, and portrait, 262, 266, 270

Action, in Western morale, 342

Actium, battle, 381

Activity, as Western trait, 315, 320; as quality of Socialism, 362-364

Actuality, as test of philosophy, 41; significance, 164

Adam de la Hale. See La Hale

Addison, Joseph, type, 254

Adolescence, initiation-rites as symbol, 174n.

Adrastos, cult, 33n.

Ægina temple, sculpture, 226, 244

Æschines, portrait statue, 270

Æschylus, tragic form and method, 129, 320, 321; and architecture, 206; and motherhood, 268; and deity, 313; morale, 355

Æsthetics, and genius in art, 128

Æther, contradictory theories, 418

Agamemnon, contemporaries, table iii

Aggregates, theory, 426

Aglaure, cult, 406

Ahmes, arithmetic, 58

Ahriman, Persian Devil, 312

Aim, and direction, 361; nebulousness, 363

Aksakov, Sergei, and Europe, 16n.

Albani, Francesco, linear perspective, 240; colour, 246

Albani villa, garden, 240

Albert of Saxony, Occamist, 381

Alberti, Leone B., gardening, 240

Alcamenes, contemporary mathematic, 78; period, 284

Alchemy, as symbol, 248; as Arabian physics, 382, 383; process of transmutation, 382n.; and substance, 383; and mechanical necessity, 393

Alcibiades, and Napoleon, 4; and Classical morale, 351; condemnation, 411

Alcman, music, 223

Alembert, Jean B. le R. d’, mathematic, 66, 78; and time, 126; mechanics and deism, 412

Alexander the Great, analogies, 4; and Dionysus legend, 8; romantic, 38; and economic organization, 138; expedition as episode, 147; himself as epoch, 149; as conqueror, 336; morale, 349; as paradox, 363; deification, 405; contemporaries, table iii

Alexander I of Russia, and Napoleon, 150

Alexandria, as a cultural left-over, 33, 73n., 79; contemporaries, 112; collections of University, 136n.; as irreligious, 358

Alfarabi, and extension, 178; and dualism, 306; contemporaries, table i

Algebra, defined, significance of letter-notation, 71; Diophantus and Arabian Culture, 71-73; Western liberation, 86; contemporaries, table i. See also Mathematics

Algiers, origin of French war, 144n.

Alhambra, courtyard, 235

Alien, and “proper”, 53

Alkabi, and extension, 178

Alkarchi, contemporaries, table i

Al-Khwarizmi, mathematic, 72; contemporaries, table i

Alkindi, and dualism, 307; contemporaries, table i

Allegory, motive and word, 219n.

Almighty, philosophical attitude toward, 123. See also Religion

Alphabet, and historical consciousness, 12n. See also Language

Alsidzshi, mathematic, 72

Altar of the Unknown God, Paul’s error, 404

Amarna art, contemporaries, table ii

Ambrosian chants, and Jewish psalmody, 228

Amenemhet III, pyramid, 13; portrait, 108, 262

Amida, and Arabian art, 209

Analogies, superficial and real historical, 4, 6, 27, 38, 39; necessity of technique, 5

Analysis, and Classical mathematic, 69; in Western mathematic, 74, 75; inadequacy as term, 81; and earlier mathematics, 84; contemporaries, table i. See also Mathematics

Anamnesis, and comprehension of depth, 174

iiAnanke, and Tyche, 146

Anarchism, basis, 367, 373

Anatomy, in Classical and Western art, 264; Michelangelo and Leonardo, 277

Anaxagoras, and ego, 311; on atoms, 386; and mechanical necessity, 392, 394; condemnation, 411

Anaximander, and chaos, 64; popularity, 327

Ancestral worship, cultural basis, 134, 135n.

Ancient History, as term, 16

Anecdote, and Classical tragedy, 318; Western, 318n.

Angelico, Fra, and the antique, 275

Anthesteria, 135n.

Antigone, and Kriemhild, 268

Antiphons, and Jewish psalmody, 228

Antisthenes, character of Nihilism, 357; and diet, 361

Antonello da Messina, Dutch influence, 236

Apelles, contemporaries, table ii

Aphrodisias Temple in Caria, as pseudomorphic, 210

Aphrodite, as goddess, 268; in Classical art, 268

Apocalypses, and world-history, 18n.; contemporaries, table i

Apollinian soul, explained, 183. See also Classical Culture

Apollo Didymæus Temple, form-type, 204

Apollo of Tenea, contemporaries, table ii

Apollodorus of Athens, unpopularity, 35; painting, 283, 325n.

Apollodorus of Damascus, Roman architecture, 211

Apollonius Pergæus, and infinity, 69; mathematic, 90

Appius Claudius, contemporaries, table iii

Arabesque, algebraic analogy, 72; period, 108; spun surface, 196; character, 203, 212; as symbol, 215, 248; end-art, 223; contemporaries, table ii

Arabian Culture, and polar idea of history, 18; mathematic, significance of algebra, 63, 71-73; expressions, 72; and Late-Classical, 73, 209, 212, 214; and Marycult, 137; prime symbol, cavern, 174, 209, 215; soul and dualism, 183, 305-307, 363; “inside” architectural expression, 184, 199, 200, 224; religious expression, 187, 188, 312, 401; and Russian art, 201; autumn of style, 207; art as single phenomenon, 207-209; art research, 209; dome space-symbolism, 210-212; ornamentation, 212; fetters, 212; emancipation, hurry, 213; and mosaic, 214; arch-column, 214; Acanthus motive, 215; and portraiture, 223, 262; architecture in Italy, 235; music, 228; and Renaissance, 235; gold as symbol, 247; political concept, 335; will-lessness, 309, 311; art and spectator, 329; and world-history, 363; nature idea, chemistry, 382-384, 393; religion in Late-Classical, 407; spiritual epochs, table i; art epochs, table ii

Arabian Nights, as symbol, 248

Arbela, battle, 151

Arcadians, provided history, 11

Arch, and column, 214, 236

Archæology, and historical repetition, 4; cultural attitude, 14, 132, 254; significance, 134.

Archery, Eastern and Western, 333n.

Archimedes, style, 59; and infinity, 69; mathematical limitation, 84, 90; contemporaries, 112, 386; and metaphysics, 366; and motion, 377; as creator, 425

Architecture, ahistoric symbolism of Classical, 9, 12n.; symbolism of Egyptian, 69, 189, 202; transition to and from Arabian, 72, 73; Rococo as music, 87, 231, 285; as early art of a Culture, mother-art, 128, 224; undurable basis of Classical, 132, 198; column, and arch, 166, 184, 204, 214, 236, 260n., 345; dimension and direction, cultural relation, 169n., 177, 184, 205, 224; symbolism in Chinese, 190, 196; imitation and ornament, becoming and become, 194-198, 202; history of techniques and ideas, 195; of Civilization period, 197; stage of Russian, 201; Classical, feeble development of style, 204; pseudomorphic Late-Classical, basilica, 209, 212, 214; Arabian, dome type, 208, 210-212; Western façade and visage, 224; cathedral and infinite space, forest character, 198-200, 224, 396; Arabian in Italy, 235; place of Renaissance, 235; Michelangelo and Baroque, 277; and cultural morale, 345; contemporary cultural epochs, table ii. See also Art; Baroque; Egyptian Culture; Doric; Gothic; Romanesque

Archytas, irrational numbers and fate, 65n.; and higher powers, 66; contemporaries, 78, 90, 112, table i; and metaphysics, 366

Arezzo, school of art, 268

Aristarchus of Samos, and Eastern thought, 9; and heliocentric system, 68, 69, 139

Aristogiton, statue, 269n.

Aristophanes, and burlesque, 30, 320n.

Aristotle, ahistoric consciousness, 9; entelechy, 15; contemporaries, 17, table i; and philosophy of being, 49n.; mechanistic world-conception, 99, 392; and deity, 124, 313; tabulation of categories, 125; as collector, 136n.; as Plato’s opposite, 159; on tragedy, 203, 318, 320, 321, 351; on body and soul, 259; on Zeuxis, 284; and inward life, 317; and philanthropy, 351; and Civilization, 352; and diet, 361;

iii culmination of Classical philosophy, 365, 366; and mathematics, 366; on atoms, 386; as atheist, 409; condemnation, 411

Arithmetic, Kant’s error, 6n.; and time, 125, 126. See also Mathematics

Army, Roman notion, 335

Arnold of Villanova, and chemistry, 384n.

Art and arts, irrational polar idea, 20; as sport, 35; and future of Western Culture, 40; as mathematical expression, 57, 58, 61, 62, 70; Arabian, relation to algebra, 72; and vision, 96; causal and destiny sides, 127, 128; Western, and “memory,” 132n.; mortality, 167; religious character of early periods, 185; lack of early Chinese survivals, 190n.; as expression-language, 191; and witnesses, 191; imitation and ornament, 191-194; their opposition, becoming and become, 194-196; typism, 193; so-called, of Civilization, copyists, 197, 293-295; meaning of style, 200, 201; forms and cultural spirituality, 214-216; as symbolic expression of Culture, 219, 259; expression-methods of wordless, 219n.; sense-impression and classification, 220, 221; historical boundaries, organism, 221; species within a Culture, no rebirths, 222-224; early period architecture as mother, 224; Western philosophical association, 229; secularization of Western, 230; dominance of Western music, 231; outward forms and cultural meaning, 238; and popularity, 242; space and philosophy, 243; cultural basis of composition, 243; symptom of decline, striving, 291, 292; trained instinct and minor artists, 292, 293; cultural association with morale, 344; contemporary cultural epochs, table ii. See also Imitation; Ornament; Science; Style; arts by name

Aryan hero-tales, contemporaries, table i

Asklepios, as Christian title, 408n.

Astrology, cultural attitude, 132, 147

Astronomy, Classical Culture and, 9; heliocentric system, 68, 139; dimensional figures, 83; cultural significance, 330-332

Ataraxia, Stoic ideal, 343, 347, 352, 361

Atheism, and “God”, 312n.; as definite phenomenon, position, 408, 409; cultural basis of structure, 409; and toleration, 410, 411

Athene, as goddess, 268

Athens, and Paris, 27; culture city, 32; as religious, 358

Athtar, temples, 210

Atlantis, and voyages of Northmen, 332n.

Atmosphere, in painting, 287

Atomic theories, Boscovich’s, 314n.; cultural basis, 384-387, 419; disintegration hypotheses, 423

Augustan Age, Atticism, 28n.

Augustine, Saint, and time, 124, 140; and Jesus, 347; contemporaries, table i

Augustus, as epoch, 140; statue, 295

Aurelian, favourite god, 406; contemporaries, table iii

Avalon, and Valhalla, 401

Avesta. See Zend Avesta

Aviation, Leonardo’s interest, 279

Avicenna, on light, 381; contemporaries, table i

Axum, empire, and world-history, 16, 208, 209n., 223

Baader, Franz X. von, and dualism, 307

Baal, shrines as basilicas, 209n.; cults, 406, 407; contemporaries, table i

Baalbek, basilica, 209n.; Sun Temple as pseudomorphic, 210

Babylon, and time, 9, 15; geographical science, 10; place in history, 17; autumnal city, 79

Baccio della Porta. See BartolommeoBartolommeo

Bach, John Sebastian, contemporaries, 27, 112, 417, table ii; as analysist, 62; contemporary mathematic, 78; fugue, 230; and dominance of music, 231; and popularity, 243; pure music, 283; ease, 292; ethical passion, 355; God-feeling, 394

Bachofen, Johann J., Classical ideology, 28; on stone, 188

Backgrounds, in Renaissance art, 237; in Western painting, 239; in Western gardening, 240. See also Depth-experience

Bacon, Francis, Shakespeare controversy, 135n.

Bacon, Roger, world-conception, 99; and mechanical necessity, 392; contemporaries, table i

Bähr, Georg, architecture, 285

Baghdad, autumnal city, 79; contemporary cities, 112; philosophy of school, 248, 306, 307; contemporaries of school, table i

Ballade, origin, 229

Bamberg Cathedral, sculpture, 235

Barbarossa, symbolism, 403

Baroque, mathematic, 58, 77; musical association, 87, 228n., 230; as stage of style, 202; sculpture as allegory, 219n.; origin, 236; depth-experience in painting, 239; in gardening, 240; portraits, 265; Michelangelo’s relation, 277; philosophy, reason and will, 308; soul, 313, 314; contemporaries, table ii. See also Art

Bartolommeo, Fra (Baccio della Porta), and line, 280; dynamic God-feeling, 394

Basilica, as pseudomorphic type, 209, 210; and Western cathedral, 211, 224; contemporaries, table ii

Basilica of Maxentius (Constantine), Arabian influences, 212

ivBasra School, philosophy, 248, 306; contemporaries, table i

Basso continuo. See Thoroughbass.

Baths of Caracalla, Syrian workmen, 211, 212

Battista of Urbino, portrait, 279

Baudelaire, Pierre Charles, sensuousness, 35; autumnal accent, 241; and the decadent, 292

Bayle, Pierre, and imperialism, 150

Bayreuth. See Wagner

Beauty, transience, cultural basis, 194; as Classical rôle, 317

Become, Civilization as, 31, 46; philosophers, 49n.; explained, relationships, 53; and learning, 56; and extension, 56; and mathematical number, 70, 95; relation to nature and history, 94-98, 102, 103; and symbolism, 101; and causality and destiny, 119; and problem of time, 122; and mortality, 167; in art, 194. See also Becoming; Causality; Nature; Space

Becoming, and history, 25, 94-98, 102, 103; philosophers, 49n.; explained, relationships, 53; intuition, 56; and direction, 56; and chronological number, 70; relation to nature and destiny and causality, 119, 138, 139; and mathematics, 125, 126; in art, 194. See also Become; Destiny; History; Time

Beech, as symbol, 396

Beethoven, Ludwig van, contemporary mathematic, 78, 90; and pure reason, 120; and imagination, 220; orchestration, 231; inwardness, “brown” music, 251, 252, 252n.; music as confession, 264; period, 284; straining, 291; contemporaries, table ii

Bell, as Western symbol, 134n.

Bellini, Giovanni, and portrait, 272, 273

Benares, autumnal city, 99

Benedetto da Maiano, and ornament, 238; and portrait, 272

Bentham, Jeremy, and imperialism, 150; and economic ascendency, 367; contemporaries, table i

Berengar of Tours, controversy, 185

Berkeley, George, on mathematics and faith, 78n.

Berlin, megalopolitanism, 33; as irreligious, 79, 358

Berlioz, Hector, contemporaries, table ii

Bernard of Clairvaux, Saint, contemporaries, 400, table i

Bernini, Giovanni Lorenzo, architecture, 87, 231, 244, 245; contemporaries, table ii

Bernward, Saint, as architect, 107n., 206

Berry, Duke of, Books of Hours, 239

Beyle, Henri. See Stendhal

Bible, and periodic history, 18; as Arabian symbol, 248. See also Christianity

Biedermeyer, contemporaries, table ii

Binchois, Égide, music, 230

Binomial theorem, discovery, 75

Biography, and portraiture, 12; Cultures and, 13, 14; and character, 316; and Western tragedy, 318. See also Portraiture

Biology, and preordained life-duration, 108; in politics, 156; as weakest science, 157; and Civilization, 360

Bismarck, Fürst von, wars and cultural rhythm, 110n.; and destiny, 145; morale, 349

Bizet, Georges, “brown” music, 252

Blood, Leonardo’s discovery of circulation, 278

Blue, symbolism, 245, 246

Boccaccio, Giovanni, and Homer, 268n.

Body, as symbol of Classical Culture, 174; and geometrical systems, 176n.; in Arabian philosophy, 248; and soul, Classical expression, 259-261. See also Sculpture; Spirit

Böcklin, Arnold, act and portrait, 271n.; painting, 289, 290

Boehme, Jakob, contemporaries, table i

Bogomils, iconoclasts, 383

Bohr, Niels, and mass, 385, 419

Boltzmann, Ludwig, on probability, 380n.

Boniface, Saint, as missionary, 360

Book, and cult-building, 197n.

Books of Hours, Berry’s, 239

Books of Numa, burning, 411

Boomerang, and mathematical instinct, 58

Borgias, Hellenic sorriness, 273

Boscovich, Ruggiero Giuseppe, and physics, 314n., 415

Botticelli, Sandro, Dutch influence, 236; goldsmith, 237; and portrait, 271, 272

Boucher, François, and body, 271

Boulle, André C., Chippendale’s ascendency, 150n.

Bourbons, analogy, 39

Boyle, Robert, and element, 384

Brahmanism, transvaluation, 352; Buddhist interpretation of Karma, 357; contemporaries of Brahmanas, table i. See also Indian Culture

Brain, and soul, 367

Bramante, Donato d’Angnolo, plan of St. Peter’s, 184

Brancacci Chapel, 237, 279

Brass musical instruments, colour expression, 252n.

Bronze, and Classical expression, 253; patina, 253; Michelangelo and, 276

Brothers of Sincerity, on light, 381; contemporaries, table i

Brown, symbolism of studio, 250, 288; Leonardo and, 280

Bruckner, Anton, end-art, 223; “brown” music, 252

Bruges, loss of prestige, 33; as religious, 358

vBrunelleschi, Filippo, linear perspective, 240; and antique, 275n.; architecture, 313

Bruno, Giordano, world, 56; martyrdom, 68; and vision, 96; esoteric, 326; astronomy, 331; contemporaries, table i

Brutus, M. Junius, character, 5

Buckle, Henry T., and evolution, 371

Buddhism, and Civilization, end-phenomenon, materialism, 32, 352, 356, 357, 359, 409; and state, 138; Nirvana, 178, 357, 361; morale, 341, 347; scientific basis of ideas, 353; moral philosophy, 355; as peasant religion, 356n.; and Christianity, 357; and contemporaries, 357, 358, 361, table i; and diet, 361. See also Religion

Burckhardt, Jacob, Classical ideology, 28; on Renaissance, 234

Buridan, Jean, Occamist, 381

Burlesque, Classical, 30, 320

Busts, Classical, as portraits, 269, 272

Buxtehude, Dietrich, organ works, 220

Byron, George, Lord, and Civilization, 110

Byzantinism, as Civilization, 106; and portraiture, 130n.; style, 206; Acanthus motive, 215; allegorical painting, 219n.; contemporaries, tables ii, iii. See also Arabian Culture

Byzantium, tenement houses, 34n.

Cabeo, Nicolaus, theory of magnetism, 414

Caccias, character, 229

Cæsar, C. Julius, analogies, 4, 38; and newspaper, 5; and democracy, 5; conquest of Gaul, 36n.; practicality, 38; and calendar and duration, 133; and economic organization, 138; and destiny, 139; bust, 272; morale, 349; Divus Julius, 407; contemporaries, table iii

Cæsarism, and money, 36; contemporary periods, table iii

Calchas, cult, 185

Calculus, and Classical astronomyastronomy, 69; limit-idea, 86; Newtonian and Leibnizian, 126n.; and religion, 170; as Jesuit style, 412; basis threatened, 419. See also Mathematics

Calderon de la Barca, Pedro, plays as confession, 264

Calendar, Cæsar’s, 133

Caliphate, Diocletian’s government, 72, 212; deification of caliph, 405

Callicles, ethic, 351

Calvin, John, predestination and evolution, 140n., 141; and Western morale, 348; variety of religion, 394; contemporaries, table i

Can Grande, statue, 272

Cannæ, as climax, 36

Canning, George, and imperialism, 149n.

Cantata, and orchestra, 230

Canzoni, character, 229

Caracalla, and citizenship and army, 335, 407

Carcassonne, restoration, 254n.

Cardano, Girolamo, and numbers, 75

Care, and distance, 12; cultural attitude, relation to state, 136, 137; and maternity, 267

Carissimi, Giacomo, music, pictorial character, 230, 283

Carneades, and mechanical necessity, 393

Carstens, Armus J., naturalism, 212

Carthage. See Punic Wars

Carthaginians, and geography, 10n., 333

Castle, and cathedral, 195, 229

Catacombs, art, 137n., 224

Categories, tabulation, 125

Catharine of Siena, Saint, and Gothic, 235

Cathedral, as ornament, 195; and castle, 229; forest-character, 396; contemporaries, table ii. See also Gothic; Romanesque

Cato, M. Porcius, Stoicism and income, 33

Cauchy, Augustin Louis, notation, 77; mathematic problem, 85; and infinitesimal calculus, 86; mathematical position, 90; goal of analysis, 418; contemporaries, table i

Causality, history and Kantian, 7; and historiography, 28; and number, 56; and pure phenomenon, 111n.; and destiny and history, limited domain, 117-121, 151, 156-159; and space and time, 119, 120, 142; and principle, 121; and grace, 141; and reason, 308; and Civilization, 360; and destiny in natural science, 379; and mechanical necessity, 392-394. See also Become; Destiny; Nature; Space

Cavern, as symbol, 200, 209, 215, 224

Celtic art, as Arabian, 215

Centre of time, and history, 103

Ceres, materiality, 403

Cervantes, Miguel de, tragic method, 319

Ceylon, Mahavansa, 12

Cézanne, Paul, landscapes, 289; striving, 292

Chæronea, issue at battle, 35

Chalcedon, Council of, and Godhead, 209, 249

Chaldeans, astronomy, Classical reaction, 147

Chamber-music, as summit of Western art, 231

Chan-Kwo period, contemporaries, table iii

Character, and person, 259; and will, Western ego, 314, 335; Cultures and study, 316; gesture as Classical substitute, 316; in Western tragedy, Classical contrast, 317-326. See also Morale; Soul

Chardin, Jean B. S., and French tradition, 289

Chares, Helios and gigantomachia, 291

Charity. See Compassion

Charlemagne, analogies, 4, 38; contemporaries, table iii

Charles XII of Sweden, analogy, 4

viChartres Cathedral, sculpture, 235, 261

Chemistry, thoughtless hypotheses, 156n.; no Classical, 383; Western so-called, 384; as Arabian system, 384, 393; new essence, entropy, 426. See also Natural science

Cheops, dynasty, 58n.

Chephren, dynasty, 58n.; tomb-pyramid, 196, 203

Chian, contemporaries, table iii

Children, Western portraiture, 266-268. See also Motherland.

Chinese Culture, historic feeling, 14; imperialism, 37; philosophers, 42, 45; time-measurement, 134n.; ancestral'ancestral worship, 135n.; and care, 136; attitude toward state, 137; economic organization, 138; destiny-idea, landscape as prime symbol, 190, 196, 203; lack of early art survivals, 190n.; and tutelage, 213; music, 228; gardening, 240; bronzes, patina, 253n.; portraiture, 260, 262; Civilization, 295; soul, perspective as expression, 310n.; passive morale, 315, 341, 347; and discovery, 333, 336; political epochs, table iii. See also Cultures

Chippendale, Thomas, position, 150n.

Chivalry, southern type, 233n.

Chorus, in art-history, 191; in Classical tragedy, 324

Chosroes-Nushirvan, art of period, 203

Chóu Li, on Chóu dynasty, 137

Chóu Period, and care, 137; contemporaries, table iii

Christianity, comparisons, 4; Eastern, and historical-periods, 22n.; and poor Stoics, 33n.; as Arabian, 72, 402; Mary-cult, Madonna in art, 136, 267, 268; destiny in Western, 140; architectural expression of early, 208-211; colour and gold as symbols, 247-250; in Western art, spiritual space, 279; dualism in early, 306; “passion”, 320n.; Eastern, and home, 335; Western transformation of morale, 344, 347, 348; and Buddhism, 357; of Fathers and Crusades, 357n.; missionarism, 360; God-man problem as alchemistic, 383; and mechanical necessity, miracles, 392, 393; elements of Western, 399-401; foreign gods as titles, 408n. See also Religion

Chronology, relation of Classical Culture, 9, 10; as number, 97, 153n.; and the when, 126; and archæology, 134. See also History

Chrysippus, and Stoicism, 33, 358; and corporeality, 177

Chuang-tsü, practical philosophy, 45

Chun-Chiu Period, contemporaries, table iii

Cicero, M. Tullius, analogy, 4

Cimabue, Giovanni, and nature, 192; and Byzantine art, 238; and Francis of Assisi, 249n.; and portraiture, 273

Cimarosa, Domenico, ease, 292

Cistercians, soul, 360

Citizenship, Classical concept, 334. See also Politics

Civilization, defined, as destiny of a Culture, 31-34, 106, 252, 353, 354; and the “become”, 31, 46; and megalopolitanism, 32, 35; money as symbol, 34-36; and economic motives, 35; imperialism, 36; destiny of Western, 37, 38; and scepticism, 46, 409; Alexander-idea, 150; English basis of Western, 151, 371; Western, effect on history, 151; so-called art, 197, 293-295; style histories, 207; Western painting, plein-air, 251, 288, 289; and gigantomachia, 291; Manet and Wagner, 293; transvaluation of values, striving, 351, 353; Nihilism and inward finishedness, 352; manifestations, 353, 354; problematic and plebeian morale, 354, 355; and irreligion, 358; diatribe as phenomenon, 359; and biological philosophies, philosophical essence, 361, 367; natural science, 417; contemporary spiritual epochs, table i; contemporary art epochs, table ii; contemporary political epochs, table iii. See also Cultures

Clarke, Samuel, and imperialism, 150

Classical Culture, philosophy, culmination, 3, 45; ahistoric basis, 8-10, 12n., 97, 103, 131-135, 254, 255, 264, 363; and chronology, 9, 10n.; and geography, 10n.; religious expression, bodied pantheon, later monotheistic tendencies, 10, 11, 13, 187, 312, 397, 398, 402-408; and mortality, funeral customs, 13, 134; portraiture, 13, 130, 264, 265, 269, 272; and archæology, 14; and measurement of time, 15; mathematic, 15, 63-65, 69, 77, 83, 84, 90; contemporary Western periods, 26; Western views, ideology, 27-31, 76, 81, 237, 238, 243, 254, 270, 323; “Classical” and “antike”, 28n.; civilization, Rome, Stoicism, 32-34, 36, 44, 294, 352; cosmology, astronomy, 63, 68, 69, 147, 330; cultural significance of mathematic, 65-67, 70; and algebra, 71; surviving forms under Arabian Culture, 72, 73, 208; opposition to Western soul, 78; and space, 81-84, 88, 175n.; “smallness”, 83; relation to proportion and function, 84, 85; popularity, 85, 254, 326-328; and destiny-idea, dramatic illustration, 129, 130, 143, 146, 147, 317-326, 424; care and sex attitude, family and home, 136, 266-268, 334-337; attitude toward state, 137, 147; and economic organization, 138; actualization of the corporeal only, sculpture, 176-178, 225, 259-261; soul, attributes, 183, 304, 305; architectural expression, 184, 198, 224; weak style, 203; art-work and sense-organ, 220; and music, 223, 227; and form and content, 242;

vii and composition, 243; colour, 245-247; nature idea, statics, 263, 382-384, 392; and discovery, 278; painting, 287; will-less-ness, 309, 310; lack of character, gesture as substitute, 316; art and time of day, 325; morale, ethic of attitude, 341, 342, 347, 351; and “action”, 342n.; cult and dogma, 401, 410; and strange gods, 404; scientific periods, 424; spiritual epochs, table i; art epochs, table ii; political epochs, table iii. See also Art; Cultures; Renaissance; Science

Classicism, and dying Culture, 108; defined, 197; period in style, 207

Claude Lorrain, landscape as space, 184; “singing” picture, 219; and ruins, 254; colour, 246, 288; period, 283; landscape as portrait, 287

Cleanliness, cultural attitude, 260

Cleisthenes, contemporaries, table iii

Cleomenes III, contemporaries, table iii

Cleon, and economic organization, 138

Clepsydra, Plato’s, 15

Clock, and historic consciousness, 14; religious aspect, 15n.; cultural attitude, 131, 134

Clouds, in paintings, 239

Cluniac reform, and architecture, 185

Clytæmnestra, and Helen, 268

Cnidian Aphrodite, 108, 268

Cnossos art, 224n., 293; contemporaries, table ii

Cobbett, William, population theory, 185n.

Cognition, and nature, 94, 102, 103

Colleoni, Bartolommeo, statue, 238, 272

Colosseum, and real Rome, 44; form type, 204; contemporaries, table ii

Colossus of Rhodes, and gigantomachia, 291

Colour, Goethe’s theory, 157n., 158n.; and depth-experience, 242; Classical and Western use, symbolism, 245-247; Western blue and green, 245; Arabian Culture and gold, 247-249; brushwork and motion-quality, 249; studio-brown, as symbol, 250, 288; Leonardo’s sense, 280; plein-air, 288. See also Painting

Columbus, Christopher, and Spanish ascendency, 148; and Leonardo, 278; and space and will, 310, 337; spiritual result, 334

Column, as symbol, 166, 184, 214, 260n., 345; Classical orders, 204; and arch, 214, 236

Compass, symbolism, 333

Compassion, times and meaning, 347-351; and Socialism, 362

Composition in art, cultural basis, 243

Comprehension, qualities, 99

Comte, Auguste, provincialism, 24; and economic ascendency, 367, 373; contemporaries, table i

Confession, as Western symbol, 131, 140, 261, 264; absence in Renaissance art, 273

Confucius, and actuality, 42; and analogies, 357

Conic sections, contemporaries, table i

Conquest, as Western concept, 336

Consciousness, phases, 154

Consecutives in church music, 188

Conservation of energy, and causality, 393; and first law of thermodynamics, 413; and concept of infinity, 418; and entropy, 420-424

Constable, John, significance of colour, 251; and impressionism, 288

Constantine the Great, and artistic impotence, 294; as caliph, 405; religion, 407

Constantinople. See Byzantium; Haggia Sophia

Consus, materiality, 403

Contemplation, defined, 95

Contemporaneity, intercultural, 26, 112, 177, 202n., 220; number paradigm, 90; Classical sculpture and Western music, 226, 283, 284, 291; in physical theories, 386; spiritual epochs, table i; culture epochs, table ii; political epochs, table iii

Contending States, period in China, homology, 111

Content, and form, 242, 270

Contrition, sacrament as Western symbol, 261, 263

Conversion, impossibility, 345

Copernicus, Classical anticipation of system, 68, 139; and destiny, 94; discovery and Western soul, 310, 330, 331

Corelli, Arcangelo, sonatas, 226, 283; and dominance of music, 231; colour expression, 252n.; Catholicism, 268n.

Corinth, and unknown gods, 404

Corinthian column, contemporaries, table ii. See also Column

Corneille, Pierre, and unities, 323

Corot, Jean B. C., colour, 246, 289; and nude, 271; impressionism, 286; landscape as portrait, 287; ease, 292

Cosmogonies, contemporaries, table i

Cosmology, cultural attitude, 63, 68, 69, 147, 330-332. See also Astronomy

Counterpoint, and Gothic, 229; and fugue, 230. See also Music

Counter-Reformation, Michelangelo and spirit, 275

Couperin, François, pastoral music, 240; colour expression, 252n.

Courbet, Gustave, landscapes, 288-290

Courtyards, Renaissance, 235

Cousin, Victor, and economic ascendency, 367

Coysevox, Antoine, sculpture, 232; decoration, 245

Cranach, Lucas, and portraiture, 270

Crassus Dives, M. Licinius, and city of Rome, 34

viiiCremation, as cultural symbol, 134

Cresilas, and portraiture, 130n., 269

Crete, inscriptions, 12n.; Minoan art, 198

Cromwell, Oliver, and imperialism, 149; contemporaries, table iii

Crusades, symbolism, 15n., 198; and Trojan War, 27; Christianity, 357n.; contemporaries, table iii

Ctesiphon, school, 63

Cult and dogma, cultural attitudes, 401, 410, 411; in natural science, 412

Cultures, Spengler’s morphological theory, xi; obligatory stages, symbols, 3, 4, 6, 38, 39; superficial and real analogies, 4, 6, 27, 38; theory of distinct cycles, 21, 22, 31, 78; divergent viewpoints, 23, 46, 131; as organisms, mortality, 26, 104, 109, 167; contemporary periods, 26, 112, 177, 202n., 220; Civilization as destiny, 31-34, 106, 252, 353, 354; symmetry, 47; and notion of the world, language, 55; physiognomic meaning as essence of history, 55, 101, 104, 105; mathematical aspects, separation, 57-63, 67, 70; and universal validity, 60, 146, 178-180, 202, 287; number-thought and world-idea, 70; stages, 106, 107; application of term “habit” or “style”, 108, 205; recapitulation in life of individuals, 110; homologous forms, 111; separate destiny-ideas, 129, 145; comparative study, 145n.; as interpretation of soul, 159, 180, 302-304, 307, 313, 314; cultural and intercultural macrocosm, 165; particular, and nature, 169; kind of extension as symbol, 173-175; actualization of depth-experience, 175; plurality of prime symbols, 179, 180; tutelage, 213; art forms and spiritualities, 214-216; arts of form as symbolic expression, 219; significance of species of art, 222-224; as bases of morale, 315, 345-347; and times of day, 325; and nature-law, 377-380, 382, 387; scientific period, 381; religious springtimes, 399-402; renunciation, second religiousness, 424; characteristics of seasons, table i; contemporary art epochs, table ii; contemporary political epochs, table iii. See also Arabian; Art; Chinese; Classical; Egyptian; History; Indian; Macrocosm; Morphology; Nature; Spirit; Western

Cupid, as art motive, 266

Cupola. See Dome

Curtius Rufus, Quintus, biography of Alexander, 4

Cusanus, Nikolaus. See Nicholas of Cusa

Cuyp, Albert, landscape as portrait, 287

Cyaxares, and Henry the Fowler, 4

Cybele, cult, 406

Cynics, practicality, 45; morale, 203, 342; and digestion, 361; contemporaries, table i

Cypress, as symbol, 396

Cyrenaics, practicality, 45; contemporaries, table i

Dante Alighieri, historical consciousness, 14, 56, 142, 159; influence of Joachim of Floris, 20; and vision, 96; homology, 111; and popularity, 243; and confession, 273; and psychology, 319; and time of day, 325n.; esoteric, 328; morale, 355; variety of religion, 394; contemporaries, table i

Danton, Georges, adventurer, 149

Darwinism and evolution, and Socialism, 35, 370-372; and practical philosophy, 45; morphology and vision, 104n., 105; Goethe and, 111n.; and teleology, 120; and destiny, 140; and cultural art-theory, 141n.; and usefulness, 155; and biological politics, 156; nature and God, 312; anticipation, Darwin’s political-economic application, 369-373; contemporaries, table i

Daumier, Honoré, act and portrait, 271n.; and grand style, 290

David, Pierre Jean, naturalism, 212

Dea Cælestis, 406

Death, and historical consciousness, 13; and become, 54, 167; Cultures and funeral customs, 134, 135, 185; and space, 166; and world-fear and symbolism, 166; stone as emblem, 188; and ornament, 195

Decoration, architectural, 196; Gothic, and bodilessness, 199; Arabian, 208, 212; mosaic, 214; Acanthus motive, 215. See also #Ornament#

Dedekind, Richard, notation, 77, 95

Definitions, and destiny, xiv; fundamental, 53-56

Deism, cause, 187, 412; concept, 312n.; Baroque, and mechanics, 412. See also Religion

Deities, cultural basis, 312. See also Religion

Delacroix, Ferdinand V. E., and impressionism, 288; contemporaries, table ii

Delphi, Polygnotus’s frescos, 243

Demeter cult, 83; spring festivals, 320; contemporaries, table i

Demeter of Knidos, statue, 136

Demetrius of Alopeke, and portraiture, 130, 269

Democracy, decay by formalism, 35; contemporary periods, table iii. See also Politics

Democritus, and corporeality, 177; and ego, 311; cosmology, 331; atoms, 385; Leibniz as contemporary, 386; and motion, 389; and mechanical necessity, 392-394; contemporaries, table i

Demosthenes, statue, 270

ixDepth-experience, significance, 168, 169, 172-174; and number, 171; and time, 172, 173; realization as cultural symbol, 173-175; in Western painting, 239, 246; in Western gardening, 240; and destiny, 241; and philosophy in art, 243; in portrait, 263, 266; and impressionism, 285-287; and will, 311; in Socialism, 361; and natural science, 380, 386, 394; Western God-feeling, 395; cathedral and organ, 396. See also Destiny; Space

Desargues, Girard, mathematic, 75

Descartes, René, civic world-outlook, 33; and actuality, 42; style, 61; mathematics and religion, 66; relation to Classical mathematic, 69; and new number-idea, 74, 75, 81, 88, 90, 126, 188; contemporaries, 112, table i; and Jansenists, 314n.; as thinker, 366; thinking and being, 387; on force, 413

Des Près, Josquin, music, 230

Destiny, and pessimism, xiv; historical, 3, 4, 6, 38-41; as logic of time, 7; acceptance, 40, 44; in World War, 47; fulfilment of Western mathematic, 90; of a Culture, 106, 145; and causality, 117-121; soul and predestination, 117; organic logic, 117; and time and space, 119, 120; and idea, 121; in art, revolts, 127, 128, 233; separate cultural ideas, illustrations, 129-131, 145-149, 189, 190, 424; in Western Christianity, 140, 141; and incident, 138-141, 144; and nature, 142; Classical “fate”, body and personality, 143, 147; youth, 152; and Western depth-experience, 241; patina as symbol, 253; and motherhood, 267; Western, and painting, 276n.; ethic and soul’s view, 302, 346, 355; and will, 308; and Civilization, 360; and causality in natural science, 379; and decay of exact science, 422-424. See also Becoming; Causality; Civilization; History; Time

Devil, disappearance, 187; and Arabian dualism, 312, 363

Diadochi, period as episode, 149, 151

Diagoras, character of atheism, 408n.; condemnation, 411

Diatribe, as phenomenon of Civilization, 359

Dido, cult, 406n.

Diet, and Civilization, 361

Diez, Feodor, significance of colour, 252

Differential calculus, as symbol, 15. See also Calculus

Dimension, abstract notion, 89; significance of depth, 168; singularity, 169n.

Dinzenhofer, Kilian I., architecture, 285

Diocletian, as caliph, 72, 212, 405; as epoch, 149; and Mithras 406

Diogenes, morale, 203; and deity, 313; Indian kinship, 347, 357

Dionysiac movement, Alexander and legend, 8; contemporaries, homology, 27, 110, table i; as revolt, 233, 356; spring festival, 320, 321, 324

Dionysius I, contemporaries, table iii

Diophantus, algebra, and Arabian Culture, 63, 71-73, 383

Dipylon vases, 73, 107, 196

Direction, and time and becoming, 54, 56; and extension, 99, 172; and dimension, 169n.; and will, 308; and aim, 361. See also Time

Discant, music, 229

Discobolus, Myron’s, 263, 265

Discovery, as Western trait, 278, 279, 332; and space and will, 310, 337; spiritual results, 334

Divinities. See Religion

Dogma and cult, cultural attitude, 401, 410, 411; in natural science, 412

Doliche, Baal, 407

Dome, as Arabian art expression, 210

Dome of the Rock, characteristics, 200

Dominicans, influence of Joachim of Floris, 20

Domitian, contemporaries, table iii

Donatello, and Gothic, 225n.; “David”, 265; and portrait, 272

Doric, column as symbol, 9, 195; and Gothic, 27; timber style, 132; and Ionic, 205; and Egyptian, 213; Western exclusion, 345; contemporaries, table ii, iii. See also Architecture; Column

Dostoyevski, Feodor M., and Europe, 16n.; Raskolnikov’s philosophy, 309; and compassion, 350

Drama, cultural basis, Classical and Western, 128-131, 141n., 143, 147, 148, 203, 255, 317-322, 347; German, 290; development of Classical, 320, 321; cultural basis of form, unities, 322, 323; undeveloped Western, 323; Classical elimination of individuality, 323; chorus, 324; and time of day, 324; attitude toward scene, 325; and cultural basis of morale, 347; and philosophy of Western activism, 368, 372; Classical, and atomic theory, 386

Dresden, architecture, 207, 285; chamber music, 232

Droem, autumnal accent, 241

Dryads, passivity, 336; materiality, 403

Dschang Yi, and imperialism, 37

Dualism, in Arabian Culture, 305-307, 363; and will and reason, 309; in religion, 312

Dühring, Eugen Karl, position in Western ethics, 373

Dürer, Albrecht, historical heads, 103; colour, 245, 250; and act and portrait, 270

Dufay, Guillaume, music, in Italy, 230, 236

Duns Scotus, historical place, 72; contemporaries, table i

.xDunstaple, John, music, 230

Duration. See Life

Durham, palatinate, 349n.

Dyck, Anthony van. See Van Dyck

Dynamics, as Western system, 384, 393. See also Natural science

Eckhardt, Meister, on imitation, 191; mysticism, 213; egoism, 335; wisdom and intellect, 409; contemporaries, table i

Economic motives. See Money

Economic organization, cultural attitude toward care, 138

Economics, and Western practical ethics, 367-369. See also Politics; Socialism

Eddas, space-expression, 185, 187; and Western religion, 400, 423; contemporaries, table i

Edessa, school, 63, 381; and Arabian art, 209; Baal, 407

Edfu, temple, 294

Edward I of England, and archery, 333n.

Edward III of England, and archery, 333n.

Egoism, in Western Culture, 262, 302, 309, 335

Egyptian Culture, historic aspect, 12; and immortality, 13; and pure number, 69; historical basis, funeral custom, 135; and care, 136; and Mary-cult, 137; attitude toward state, 137; economic organization, 138; stone as symbol, 188; destiny-idea, path as prime symbol, 188, 189; architectural expression, 189, 202; brave style, 201-203; and tutelage, 213; streets, 224; art composition, 243; sculpture, 248n., 266; and portrait, 262; Civilization, 294, 295; view of soul, 305; morale, 315; and discovery, 332; and Socialism, 347; and man-deification, 405n.; art epochs, table ii; political epochs, table iii. See also Cultures; arts by name, especially Architecture

Egyptianism, contemporary periods, table iii

Eichendorff, Joseph von, poetry, 289

Eleatic philosophy, and motion, 305n., 388, 390

Elements, cultural concepts of physical, 383, 384. See also Atomic theories; Natural science

Eleusinian mysteries, dramatic imitation, 320

Elis, treaty, 10n.

Emigration, cultural attitude, 336

Empedocles, elements, 327, 383, 384; on atoms, 386

Emperor-worship, 405, 407, 411

Empire style, as Classicism, 207; contemporaries, table ii

Encyclopedists, contemporaries, table i

Energy, and voluntas, 310n.

Engels, Friedrich, and Hegelianism, 367; position in Western ethics, 373

England, Manchester system and Western Civilization, 29, 151, 371; imperialism and Napoleonic epoch, 149-151

Enlightenment, Age of, and movement, 155; effect on monasticism, 316n.; and tolerance, 343; and cult and dogma, 411

Entelechy, ahistoric aspect, 15

Entropy, theory, formulations, 420; effect, 421-424

Epaminondas, and invented history, 11

Ephesus, Council of, and Godhead, 209

Epic, and religion, 399-402

Epictetus, and Jesus, 347

Epicureanism, practicality, 45; morale, 315; and will, 341, 342; contemporaries, table i

Epicurus, Indian kinship, 347; character of Nihilism, 357; and Socialism, 358; and mathematics, 366; and ethics, 367; contemporaries, table i

Epigoni, and Socialism, 374

Epistemology, and history, 119, 355

Epochs, personal and impersonal, 148. See also Incident; Destiny

Epos, contemporaries of popular, table i

Erastosthenes, as creator, 425

Erechtheum, in style history, 108, 207

Eroticism. See Sex

Esoterics, in Western Culture, 326-329. See also Popularity

Etching, Leonardo’s relation, 281; as Western art, 290

Ethics, relation to Culture, 354; period in philosophy, 365-367; socio-economic character of Western, 367-369; dramatical presentation of Western, 368, 372; evolution theory, aspects, 369-372; landmarks of Western, 373, 374; exhaustion of period, 374. See also Metaphysics; Morale; Philosophy

Etruscan, round-buildings, 211n.; contemporaries of discipline, table i

Eucharist, cultural significance, 185, 186; as centre of Western Christianity, 247

Euclid, mathematical style, 59, 64, 65; limitation of geometry, 67, 88; mathematical position, 90; parallel axiom, 176n. See also Geometry

Eudoxus, and higher powers, 66; and infinity, 69, 69n.; and mathematic, 78, 90

Euler, Leonhard, mathematic, 78, 90; and differentials, 86; and time, 126; contemporaries, 231, table i

Euripides, unpopularity, 35; foreshadowing by, 111; end-art, 223; tragic method, 319

Europe, as historical term, 16n.

Evolution. See Darwinism

Exhaustion-method of Archimedes, 69

Experience, and historical sense, 10; lived and learned, 55;

xi in Western concept of nature, 393; and faith, 394; and theory, 395

Experiment, and experience, 393

Exploration. See Discovery

Expressionism, farce, 294

Extension, and direction, 99, 172; and reason, 308. See also Space

Eyck, Jan van, portraits, 272, 309; contemporaries, table ii

Eye, in sculpture, 329

Façades, cultural significance, 224; Renaissance, 235

Fact, and theory, 378

Fairies, cultural attitude, 336, 403

Faith, and Western mathematic, 78. See also Religion

Family, Western portraits, 266; Civilization and race-suicide, 359. See also Motherhood

Faraday, Michael, and theory, 100, 378, 416

Farnese Bull, theatrical note, 291

Fate, cultural attitude, 129. See also Destiny

Faunus, materiality, 403

Faustian soul, explained, 183. See also Western Culture

Fauxbourdon, music, 229

Fayum, 58n.

Fear, and Classical and Western tragedy, 321

Federigo of Urbino, portrait, 279

Feeling, and “proper,” 53

Fermat, Pierre de, relation to Classical mathematic, 69; mathematic style, 74, 75, 90; problem, 76, 77; contemporaries, table i

Feudalism, contemporary periods, table iii

Feuerbach, Anselm von, act and portrait, 271n.

Feuerbach, Ludwig A., provincialism, 24; position in Western ethics, 373; contemporaries, table i

Fichte, Johann G., basis of Socialism, 362, 374; esoteric, 369; and mathematics, 374; contemporaries, table i

Fifty-year period, cultural rhythm, 110

Fischer von Erlach, Johann B., architecture, 285

Flaminius, C., and economic motive, 36; and imperialism, 37

Fleury, Andre, Cardinal de, policy, 4, 349

Florence, culture city, loss of prestige 29, 33; cathedral, 184, 238; and Arabian Culture, 211; and Renaissance, 233-238; and Northern art, 236; character as state, 273. See also Renaissance; Savonarola

Fluxions, significance of Newton’s designation, 15n.

Fontainebleau, park, 240

Force, as undefinable Western concept, numen, 390, 391, 398, 402, 412-417; stages of concept, 417; contradictions, 418. See also Natural science

Forest, and Western cathedrals, 396

Form, and law, 97; and music, 219; and content, 242, 270

Forum of Nerva, craft-art, 198, 215

Forum of Trajan, ornament, 215

Fouquet, Nicolas, and gardening, 241

Four-part movement, 231

Fourteen Helpers, 400

Fourth dimension, and Classical mathematic, 66; and time and space, 124

Fox, Charles James, contemporaries, table iii

Fragonard, Jean H., and music, 232

France, and maturity of Western Culture, 148, 150; plein-air painting, 288, 289

Francesca, Piero della, and static space, 237; perspective, 240; and artistic change, 279, 287

Francis of Assisi, art influence, 249n.; morale, 348; God-feeling, 395; contemporaries, table i

Francis I of France, and imperial crown, 148

Franciscans, influence of Joachim of Floris, 20

François Vase, composition, 244

Frau Holle, and Mary-cult, 267

Frau Venus, symbolism, 403

Frazer, Sir J. G., error on “Unknown God”, 404n.

Frederick the Great, and analogy, 4; on chance, 142n.; contemporaries, table iii

Frederick William I of Prussia, and Socialism, 138; Egyptian kinship, 347

Frederick William IV of Prussia, and German unity, 145

Free will, and destiny, 140, 141. See also Will

Freedom, and historical destiny, 39

Freiburg Minster, Viking Gothic, 213

French Revolution, incident and destiny in, 148, 149

Frescobaldi, Girolamo, music, 230

Frescos, Classical, and time of day, 225, 283, 325; Renaissance, 237, 275; displacement by oil, 279. See also Painting

Fresnel, Augustin J., light theory, 418

Friedrich, Kaspar D., and grand style, 289

Frigga, and Mary-cult, 267

Fronde, contemporaries, table iii

Front, cultural basis of architectural, 224

Fugue, style and theme, 230, 231

Function, as symbol of Western Culture, 74-78; and proportion, 84; contrast with Classical construction, 85; basis of Western number, thought, 86, 87; Goethe’s definition, 86n.; expansion in groups, aggregates, 89, 90, 426. See also Mathematics

Funeral customs, as cultural symbol, 134, 135, 158

Future, youth as, 152; cultural relation, 363

xiiGabrieli, Andrea, music, 252

Gabrieli, Giovanni, music, 226

Galen, as copyist, 425

Galileo, and natural philosophy, 7; on nature and mathematics, 57; and static idea, 236, 412; dynamic world-picture, 311; deeds of science, 355; concept of force, 386, 415, 417; and motion-problem, 390; God-feeling, 396; contemporaries, table i

Gama, Vasco da, spiritual result, 334

Gardening, as Chinese religious art, 190; Western, perspective, 240, 241; Renaissance, 241; English, and ruins, 254

Gaugamela, battle, 151

Gaul, Cæsar’s conquest, 36n.

Gauss, Karl F., style, 59; artist-nature, 61; mathematical position, 78, 85, 90, 176n.; and nonperceptual geometry, 88; contemporaries, 112, table i; and dimension, 170, 172; and popularity, 327; and metaphysics, 366; goal of analysis, 418

Gaza, temple, 211

Gedon, Frau, Leibl’s portrait, 252n., 266n.

Generations, spiritual relation, 110n.

Geography, Classical Culture and, 10n.; influence on historical terms, 16n. See also Discovery

Geology, and mineralogy, 96

Geometry, Kant’s error, 6n., 170, 171; art expression, 61; limitation of Classical, 67, 83, 88; Descartes and infinite, 74; Western mathematicmathematic and term, 81; Western liberation, 86, 170n.; and arithmetic, 125, 126; systems and corporeality, 176n.; and popularity, cultural basis, 327. See also Mathematics

George, Henry, autumnal accent, 241

Gerbert. See Sylvester II

Géricault, Jean L. A. T., and grand style, 290

Germany, union as destiny, 144; and music and architecture, 285; diversion from music to painting, 289

Germigny des Près, church as mosque, 201

Gernrode Cathedral, simplicity, 196; and antique, 275n.

Gesture, as Classical symbol, 316; in Classical tragedy, 317

Gesu, Il, church at Rome, façade, 313; God-feeling, 395

Ghassanid Kingdom, 215

Ghiberti, Lorenzo, and Gothic, 225n., 235, 238

Ghirlandaio, Il, Dutch influence, 236

Giacomo della Porta, architecture, 314; God-feeling, 395

Gigantomachia, and decline of art, 291

Giorgione, Il, and impressionism, 239; clouds, 240; colour, 251, 252; and body, 271

Giotto, childlike feeling, 212; technique, 221; and fresco-art, 237; and Francis of Assisi, 249n.; Gothic, 235, 274; God-feeling, 395; contemporaries, table ii

Giovanni Pisano, sculpture, 212, 235, 238, 263

Glass painting, Gothic and Venetian, 252; contemporaries, table ii

Gluck, Christopher W., contemporary mathematics, 78, 90; character of arias, 219n.; music, 260; period, 284

Gnostics, music, 228; dualism, 248, 306; contemporaries, table i

Gobelins, and music, 232

God, Western, and will, 312. See also Religion

Görres, Jakob J. von, and dualism, 307

Goes, Hugo van der, in Italy, 236

Goethe, Johann Wolfgang von, and living nature and vision, vii, 95, 96, 105, 111n., 113, 140, 154, 389; influence on Spengler, xiv; historic consciousness, 14, 142, 159; on life, 20; on mankind, 21; and world-as-history, 25, 99, 104; as Classicist, 30; and Darwinism, 35, 111n., 370; and actuality, 42, 43; as philosopher, 49n., 365n.; on becoming and become, 49n., 53; and intuition, 56; on vision and observation, 61; and mathematics, 61, 65, 75; and Plato’s Ideas, 70; on function, 86n.; on form and law, 97; on symbols, 102n.; on historiography, 103; and morphology, 104n., 111; on blossoming of art, 107; display of individuality, 110; foreshadowing by, 111; and causal effort, nature-studies, 118, 155-157, 422; on reasonable order, 123; and the Almighty, 124; dramatic form, 129, 318; destiny in life, 139, 145, 146, 281; and imperialism, 149; theory of colour, 157n., 158n., 246; as Kant’s opposite, 159; and style as organism, 205; and imagination, 220; Northern pantheism, 250, 251n.; on soul and body, 259; lyrics, 286; and confession, 300; as biographer, 316; and time of day, 324; Faust as symbol of Civilization, 354; ethical passion, 355; variety of religion, 394; and cult and dogma, 411; on application of reason, 412; and world-force, 413, 417; contemporaries, table i

Götterdämmerung, Christian form, 400

Gold, and Arabian Culture, 247; contrasting Classical use, 253n.

Golden Age, cultural basis of concept, 363

Golden Legend, contemporaries, 400

Gorgias, autumnal accent, 207

Gospels, contemporaries, table i

Gothic, and Doric, 27; architecture, and depth-experience, 177, 184, 185, 187, 198-200; cathedrals as ornament, 195; sculpture, nude, cathedral groups, 196, 197, 227, 231, 261, 266, 272;

xiii as stage of style, 202; and Arabian, borrowings, 211, 213; musical association, 229, 230; aliveness, 233; in Italy, and Renaissance, 234-238; esoteric, 243; Italian, and Francis of Assisi, 249n.; and later Western expression, 252; and nature, 264; philosophy, will and reason, 308; God-feeling, 395; forest, cathedral, and organ, 396; contemporaries, tables ii, iii. See also Art; Western Culture

Goujon, Jean, sculpture, 244

Government. See Politics

Goya y Lucientes, Francisco, technique, 221; act and portrait, 271n., 264; ease, 292; contemporaries, table ii

Goyen, Jan van, landscape as portrait, 287

Gracchi, and economic organization, 138; as incident, 139

Grace, and destiny, 140, 141

Granada, and Arabian Culture, 216

Grassmann, Hermann G., religion and mathematic, 70

Gravitation, shaky hypothesis, 418

Great Mother of Pessinus, Rome and cult, 405

Greco, El, clouds, 240

Greece, and Europe, 16n. See also Classical Culture

Green, symbolism, 245, 246

Gregory VII, pope, morale, 349

Grote, George, narrow Classicalism, 29

Groups, as culmination of Western mathematic, 89, 90, 427

Grünewald, Matthias, clouds, 240; colour, 246, 250, 288; and Renaissance, 274

Guardi, Francesco, painting, 207, 220

Guercino, Giovanni F. B., colour, 246; and musical expression, 250

Guido d’ Arezzo, music, 228

Guido da Siena, and Madonna, 267

Guilhem of Poitiers, professionalism, 229n.

Gundisapora, school, 63

Gunpowder, relation to Baroque, 278n., 333

Gymnastics, and sport, 35

Habit, applied to a Culture, 108

Hadrian, analogy, 4; Pantheon as Arabian, 211

Hadrian’s Villa, type, 211n.

Haeckel, Ernst H., and Civilization, 252; faith in names, 397n.

Hageladas, contemporaries, table ii

Hagia Sophia, period, 108; miracle, 130n.; character, 184, 200; mosque as resumption, 211; acanthus motive, 215

Halo, history, 130n.

Hals, Frans, musical expression, 250; period, 283

Hamadryads, materiality, 403

Han Dynasty, importance, 94; contemporaries, table iii

Handel, George F., and dominance of music, 231; colour expression, 252n.; Catholicism, 268n.; oratorios, 283

Hannibal, contemporaries, 112, table iii; historical position, 144; ethical exception, 349

Happiness, and Classical ethic, 351

Harakiri, and Greek suicide, 204n.

Hardenberg, Karl A. von, reorganization of Prussia, 150n.

Harmodius, statue, 269n.

Haroun-al-Raschid, analogies, 38; contemporaries, table ii

Hauran, basilica type, 210, 210n.

Haydn, Joseph, contemporary mathematic, 78, 90; orchestration, 231; colour expression, 252n.; and Praxiteles, 284; period, 284; ease, 291; as religious, 358

Hebbel, Friedrich, provincialism, 24; and practical philosophy, 45; on research and vision, 102; and cultural contrasts, 128; as dramatist, 143, 290; causal effort, 156; and Civilization, 352; nebulous aim, 363; and Hegelianism, 367; and economic ethics, 370, 371, 373; character of atheism, 408n.

Hegel, Georg W. F., and history, 19, 22; and mystic philosophy, 365n.; and mathematics, 366; and critique of society, 367, 374; esoteric, 369; contemporaries, table i

Heimarmene, in Classical tragedy, 320

Hei, and Valhalla, 400

Helen, and Kriemhild, 268

Helios, as god, 147n., 402

Hellenism, contemporaries, tables i, ii

Hellenistic art period, contemporaries, table ii

Helmholtz, Hermann L. F. von, time and mathematic, 64; on natural science and mechanics, 377; on electrolysis, 385n.; Archimedes as contemporary, 386

Henry the Fowler, and Cyaxares, 4

Henry the Lion, morale, 349

Hera, Samian temple, 225n.

Heracles, Vatican torso, 255

Heracles legends, contemporaries, table i

Heraclitus, morale, 268n., 315, 343; popularity, 327; and Stoicism, 356; wisdomwisdom and intellect, 409

Heræa, treaty, 10n.

Heræum of Olympia, timber construction, 132

Herbart, Johann F., ethics, 367

Herder, Johann G. von, and history, 19

Hermes, cults, 406

Hermes Trismegistus, and chemistry, 383

Herodotus, ahistoric consciousness, 9, 146

Hersfeld, and antique, 275n.

xivHertz, Heinrich, and theory, 378; and motion-problem, 391, 414, 416

Hesiod, contemporaries, table i

Hilda, Saint, passing-bell, 134n.

Hildesheim Cathedral, simplicity, 196; and antique, 275n.

Hipparchus, as scientist, 9, 330

Hippasus, irrational numbers and fate, 65n.

History, Spengler and morphology, xi; and destiny and causality, experiencing and thinking, 3, 118, 121, 151; repetitions of expression-forms, 4, 27; needed technique of analogies, 5; consciousness, 8; historic and ahistoric Cultures, 8-12, 97, 103, 132-136, 254, 255, 264, 363; consciousness and attitude toward mortality, 13; concept of morphology, 5-8, 26, 39, 100, 101; form and form feeling, 15, 16; irrational culminative division scheme, 16-18, 22; origin of the scheme, 18; Western development of it, 19, 20, 94; theory of distinct Cultures, 21, 22; provincialism of Western thinkers, 22-25; world-as-history, thing-becoming, 25, 95; single riddle, 48; time essence, 49; and intuition, 56; definite sense and nature, 55, 57, 94; and Culture, 55; detached view, 93; research and vision, 96, 102, 105, 142; anti-historical and ahistorical, 97n.; chronology, 97; as original world-form, 98; “scientific, possibility, 98, 153, 154; and mechanistic world-conception, 99; and direction and extension, 99, 100; portraiture of Cultures, 101, 104, 105; memory-picture, 103; elements of form-world, 103, 104; phenomena, 105, 106; future task, organic culture-history, 105, 159; stages of a Culture, 106-108; preordained durations, 109; homology, 111; cultural contemporaneousness, 112; enlarged possibilities, restoration and prediction, 112, 113; teleology and materialistic conception, 121; cultural basis of viewpoint, 131; cultural symbols, clock; bell, funeral customs, museums, 131, 134-136; cultural feeling of care, 136-138; judgment and life, 139; incident and destiny, Western examples, 143, 148; grandiose demand of Western, 145; incidental character of Classical, 146, 147; as actualizing of a soul, 147; impersonal and personal epochs, 148; effect of Civilization-period, 152; and happening, 153; causal harmonies, 153, 154, 158; confusion in causal method, 155-157; physiognomic investigation, 157; symbolism, 163; of styles, 205; and cultural art expression, 249, 253; and portrait, 264; and will, 308; and action, 343; cultural opposition, 386; in natural science, 389. See also Becoming; Destiny; Nature; Politics; Spirit; Time

Hittites, inscriptions, 12n.

Hobbema, Meyndert, colour, 246

Hobbes, Thomas, and actuality, 42

Hölderlin, Johann C. F., narrow Classicalism, 28n.; autumnal accent, 241; and confession, 264; lyrics, 286; and fatherland, 335

Hoffmann, Ernst T. A., “Johannes Kreisler”, 276n., 285

Hogarth, William, position, 150n., 283

Holbein, Hans, colour, 250; contemporaries, table ii

Holy Grail legend, cultural significance, 186, 198; elements, 213

Holy Roman Empire, contemporaries, table iii

Home, Henry, on ruins, 254n.

Home, significance of term, 33n.; cultural basis of conception, 83, 334-337. See also Politics

Homer, contemporaries, 27, table i; soul, 203, 305; religion, 268n.; gods, 312, 313; popularity, 328; and Classical ethics, 349

Homology, historical application, 111, 112

Horace, and duration, 65n., 132

Horizon, and mathematics, 171; in Western landscape painting, 239, 242

Horn, Georg, and term Middle Age, 22

Horoscopes, cultural attitude, 147

Houdon, Jean A., sculpture as painting, 245

Hucbald, music, 228

Hugo van der Goes. See Goes

Huguenot wars, character, 33

Humboldt, Alexander von, Ethical Socialism, 374

Hus, John, contemporaries, table i

Hwang-Ti, contemporaries, table iii

Hygiene, as phenomenon of Civilization, 361

Hyksos Period, contemporaries, 111, tables ii, iii; feebleness, 149

Hyksos Sphinx, 108, 262

Hypsicles, as Arabian thinker, 63

Iamblichus, on statues of gods, 216; contemporaries, table i

Ibn-al-Haitan, on light, 381

Ibn Kurra, contemporaries, table i

Ibsen, Henrik, world-conception, 20; provincialism, 24, 33n.; sex problem, 35; unpopularity, 35; and practical philosophy, 45; causal effort, 156; tragic method, 318; and morale, 346; and Civilization, 352; character of Nihilism, 357; journalism, 360; nebulous aim, 363, 364; and socio-economic ethics, 372-374

Iconoclasts, Arabian principle, 262; contemporaries, table i

Idea, and destiny, 121

Idolatry, Arabian iconoclasm, 262; Classical attitude, 403

xvIliad, spatial aspect, 198

Ilya Murometz, Russian saga, 201n.

Image, cultural basis of idea, 216

Imagination, music as channel, 220

Imitation, qualities and aim, 191-194; opposition to ornament, 194-196; period in architecture, 197; in music, 228. See also Ornament

Imperialism, negative character of Roman, 36; and Civilization, 36; Western destiny, 37, 38; origin of Western, Napoleon’s relation, 148; cultural attitude, 336; cultural contemporaries, table iii

Impressionism, as space, 184; beginning, 239; Leonardo’s relation, 277; full meaning, 285-287; later plein-air, 288; in Wagner’s music, 292

Improvisation, as manifestation, 195

Incident, world, 142; and destiny, 138-144; and cause, 142; and style of existence, 142-147; as basis of Western tragedy, 143; historical use, 143. See also Destiny

India, Napoleon and, 150

Indian Culture, ahistorical basis, 11, 12, 133; anonymous philosophy, 12; mathematic, 84, 178; sex attitude, 136; attitude toward state, 137; morale, passive, 315, 341, 347; Buddhism and Civilization, 352; spiritual epochs, table i. See also Buddhism; Cultures

Indo-Iranian art period, contemporaries, table ii

Infinity, and Classical mathematic, 69; in Western Culture, 74-76, 81-84; and new notation, 76-78; limit as a relation, 86; and Western science, 418, 427. See also Depth-experience; Space

Innocent III, pope, and Western morale, 348

Inquisition, and Western faith, 410

Integral calculus. See Calculus

Intellect, and nature, 157. See also Will

Intelligence, and atheism, 409

Interregnum, Germanic, period as episode, 149

Intuition, and learning, 55, 56

Ionic, and Doric, 205; contemporaries, tables ii, iii. See also Architecture; Column

Irak, synagogue music, 228

Irrationalism, cultural attitude, 64-66, 68, 83

Isis, motherhood, 137; cult, 406, 407

Islam, analogy to Mohammed, 39; Mohammed as epoch, 149; architectural expression, 208, 209, 211; iconoclasm, 262; and home, 335; Mohammed’s unimposed mystic benefits, 344n.; Puritanism, 356; Mohammed’s contemporaries, table i; fatalism period, table i. See also Arabian Culture; Religion

Issus, battle, mosaic, 214

Italy, liberation as episode, 151; and music, 230

I-Wang, contemporaries, table iii

Jacobins, and reason and will, 308

Jacopo della Quercia, and ornament, 238

Jahn, Friedrich L., and gymnastics, 35n.

James, Henry, on ruins, 254n.

Jansenism, and theoretical science, 66, 314n.; Puritanism, 356; contemporaries, table i

Janus, materiality, 403

Japan, harakiri, 204n.; art and the nude, 262n.

Jason of Pheræ, contemporaries, table iii

Jesuitism, and Baroque architecture, 313; style in science, 412. See also Loyola

Jesus, as Son of Man, 309; and Arabian morale, 344, 347; unimposed glad tidings, 344n. See also Christianity

Joachim of Floris, world-conception, 19, 229, 261; and “passion”, 320n.; contemporaries, table i

John, Saint, and world-history, 18n.; dualism in Gospel, 306

Journalism, as phenomenon of Civilization, 360

Judaism, architectural expression, 209, 211n.; psalmody, 228; Kabbala, dualism, 248, 307, 312; and home 335. See also Arabian Culture

Judgment, and necessity, 393

Julius II, pope, Raphael’s portrait, 272

Juppiter Dolichenus, cult, 406n.

Juppiter Feretrius, temple and oath, 406

Juppiter Optimus Maximus, cult, 406

Jurisprudence, esoteric Western, 328

Justinian, period of fulfilment, 107; and Hagia Sophia, 130n.

Justus van Gent, in Italy, 236

Kabbala, dualism, 248, 307

Kalaam, determinism, 307

Kant, Emmanuel, and space and time, 6n., 7, 64, 122, 124-126, 143, 169, 170, 173-175; and history, 19; provincialism, 23; contemporaries, 27, table i; final Western systematic philosophy, 45, 365-367; as philosopher of Being, 49n.; and nature and mathematics, 57, 64, 68, 78, 366, 379; a priori error, 59; mechanistic world-conception, 99; and causality and destiny, 118-120, 151; and the Almighty, 124; and incident, 143; as Goethe’s opposite, 159; on knowledge of thought, 299; egoism, 310, 335; esoteric, 327; and compassion, 350, 362; and ethics, 354, 355; and materialism, 368; on judgment, 393; on force, 413

Karlstadt, Andreas R., contemporaries, table i

Karma, Buddhist interpretation, 357

Karnak, contemporaries, table ii

Katharsis, Classical, 322, 347. See also Drama

Kelvin, Lord, and æther, 418

Kepler, Johan, mathematic and religion, 71, 330;

xvi horoscope for Wallenstein, 147; deeds of science, 355; and mass, 415

Kirchhoff, Gustav R., on physics and motions, 388

Kishi, church architecture, 201n.

Kismet, 129, 307. See also Destiny

Klein, Felix, and groups, 90

Kleist, Heinrich B. W. von, as dramatist, 290

Kleisthenes of Sikyon, tyranny, 33

Knowledge, comparative forms, 59, 60; virtue and power, 362; and feeling, 365; as naming of numina, 397

Kriemhild, and Helen, 268

Krishna worship, and sex, 136n.

Kwan-tsi, and actuality, 42

Lagrange, Comte, mathematic, 66, 78, 90; on mechanics, 124; and force, 417; contemporaries, table i

La Hale, Adam de, operetta, 229

Landscape, as Chinese prime symbol, 174, 190, 196, 203; horizon in painting, 239; Western gardening, 240; Baroque, as portrait 270n., 287; plein-air, 288, 289; and dramatic scene, 326

Lanfranc, controversy, 185

Langton, Stephen, as warrior, 349n.

Language, of Culture, 55; word and number, 57; beginning of word-sense, 57; paired root-words, 127; personality-idea in Western, 262, 302, 309, 310, 413n.; as cultural function, 302n. See also Names; Writing

Laocoön group, theatrical note, 291; and Pre-Socratic philosophy, 305

Lao-tse, and imperialism, 37; and actuality, 42.

Laplace, Marquis Pierre de, mathematic, 78, 90; contemporaries, 112, table i; and force, 413, 417

Lasso, Orlando, style, 230

Lateran Council, and Western Christianity, 247

Latin, as Stoic creation, 361

Lavoisier, Antoine L., chemistry, 384, 426

Law, and form, 97

League of Nations, Chinese ideas, 37

Learning, and intuition, 55, 56

Legends, contemporary, table i

Legnano, battle, a symbol, 349

Leibl, Wilhelm, significance of colour, 252; portraiture, 266; and body, 271; and grand style, 289-291; etching, 290; striving, 292

Leibniz, Baron von, and actuality, 42; mathematics, metaphysics, and religion, 56, 66, 70, 126, 366, 394; relation to Classical mathematic, 69; calculus, 75, 78, 82, 84, 90; and vision, 105; and Nicholas of Cusa, 236; esoteric, 327; and mystic philosophy, 365n.; monads as quanta of action, 385; Democritus as contemporary, 386; and force, 413, 415-417; contemporaries, table i

Leipzig, battle, issue, 35

Lenbach, Franz von, copyist, 295

Le Nôtre, André, gardening, 240n., 241

Leo III, pope, and iconoclasm, 262

Leochares, contemporary mathematic, 90

Leonardo da Vinci, astronomical theory, 69; spirituality, 128; Dutch influence, 236; and background, 237; and impressionism, 239, 287; and sculpture, 244; colour, 246; and body, 271; and portrait, 272; as dissatisfied thinker, 274; discovery as basis of art, 277-279; and circulation of the blood, 278; and aviation, 279; Western soul and technical limitation, 279-281; and dynamics, 414

Lessing, Gotthold E., world-conception, 20; and cultural contrasts, 128; and Aristotle’s philanthropy, 351; and cult and dogma, 411

Lessing, Karl F., colour, 252

Leucippus, atoms, 135, 385, 386

Li, contemporaries, table iii

Licinian Laws, myth, 11

Life, and soul and world, 54; duration, specific time-value, 108; duration applied to Culture, 109; Classical Culture and duration, 132; and willing, 315. See also Death

Light and shadow, cultural art attitude, 242n., 283, 325n.

Light theories, electro-magnetic, 156n.; Newton’s, and Goethe’s theory of colour, 157n., 158n.; cultural basis, 381; contradictory, 418

Limit, as a relation, 86

Linden, as symbol, 396

Lingam. See Phallus

Lingayats, sect, 136n.

Ling-yan-si, Saints, 260

Linois, Comte de, and India, 150n.

Lippi, Filippino, Dutch influence, 236

Liszt, Franz, Catholicism, 268n.; contemporaries, table ii

Literature. See Art; Drama; History; Poetry; writers by name, especially Dante; Goethe; Ibsen

Livy, on strange gods, 405

Lochner, Stephen, God-feeling, 395

Locke, John, and imperialism, 150; contemporaries, table i

Loggia dei Lanzi, artistic sentiment, 272

Logarithms, liberation, 88

Logic, organic and inorganic, 3, 117; of time and space, 7; and mathematics, convergence, 57, 427; and morale, 354. See also Causality

Logicians, contemporaries, table i

Lokoyata, contemporaries, table i

xviiLondon, culture city, 33

Loredano, doge, portrait, 272

Lorentz, Hendrik A., and Relativity, 419

Lorenzo de’ Medici, and music, 230

Lotze, Rudolf H., ethics, 367

Louis XIV, uncleanliness, 260; contemporaries, table iii

Louisiana, Napoleon’s project, 150

Loyola, Ignatius, and style of the Church, 148; architectural parallel, 314; and Western morale, 348; God-feeling, 394, 395; and method, 412

Lucca, and Arabian Culture, 216

Lucian, and Philopatris dialogue, 404n.

Lucullus, L., army, 36

Ludovisi Villa, garden, 240

Lully, Raymond, music, 283

Luther, Martin, and “know”, 123; and destiny, 141; as epoch, 149; and works, 316n.; and Western morale, 348, 349, 355; God-feeling, 394, 395; contemporaries, table i

Luxor, contemporaries, table ii

Lycurgus, myth, 11

Lysander, deification, 405

Lysias, portrait, 270

Lysicrates, Monument of, acanthus motive, 215

Lysippus, contemporary mathematic, 90; sculpture, 226, 260n.; period, 284; canon, 287; straining, 291; irreligion, 358; contemporaries, table ii

Lysistratus, and portraiture, 269

Machault, Guillaume de, and counterpoint, 229n.

Machiavellism, and mimicry, 371

Macpherson, James, autumnal accent, 241

Macrocosm, idea, 163-165; cultural and intercultural, 165; expression, 180; and style-problem, 214-216. See also History; Morphology; Nature; Symbolism; World-conceptions

Maderna, Stefano, sculpture, 244; God-feeling, 395

Madonna, in Western art, 136, 267, 280. See also Marycult; Motherhood

Madrid, culture city, 32, 109

Madrigals, character, 229

Mæcenas, park, 34

Magdeburg Cathedral, Viking Gothic, 213

Magian soul, explained, 183. See also Arabian Culture

Magnetism, Cabeo’s theory, 414

Magnitude, emancipation of Western mathematic, 74-78; and relations, 84, 86

Mahavansa, as historical work, 12

Mainz Cathedral, and styles, 205

Makart, Hans, copyist, 295

Malatestas, Hellenic sorriness, 273

Malthus, Thomas R., and Darwinism, 350, 369, 371

Manchester system, and Western Civilization, 151, 371; and Darwinism, 369

Mandæans, as Arabian, 72; music, 228; contemporaries, table i

Manet, Édouard, unpopularity, 35; and body, 271; landscapes, 288; plein-air painting, 288-290; weak style, 291; striving, 292; and Wagner, 292; irreligion, 358

Mani, and mystic benefits, 344n.; and Jesus, 347; contemporaries, table i

Manichæanism, as Arabian, 72; architectural expression, 209, 211; music, 228; dualism, 306; and home, 335

Mankind, as abstraction, 21, 46

Mantegna, Andrea, technique, 221, 239; and colour, 242; and portrait, 271; and statics, 414

Marble, and later Western sculpture, 232, 276n.; Greek use, 248n., 253; Michelangelo’s attitude, 276. See also Stone

Marcellus II, pope, and Church music, 268n.

Marcion, and Jesus, 347; contemporaries, table i

Marcus Aurelius, and monotheistic tendency, 407

Marées, Hans, significance of colour, 252; portraiture, 266, 271, 271n., 309; and grand style, 289, 290; striving, 292

Marenzio, Luca, music, 251

Marius, C., and economic motive, 36; contemporaries, table iii

Mars Ultor, temple, ornament, 215

Marseillaise, morale, 355

Marsyas, Myron’s, lack of depth, 226

Marwitz, Friedrich A. L. von der, and Hardenberg, 150n.

Marx, Karl, and practical philosophy, 45; and earlier and final Socialism, 138; and superficially incidental, 144; character of Nihilism, 352, 357; and Hegelianism, 367; socio-economic ethics, 372, 373; contemporaries, table i

Mary-cult, as symbol, 136; Madonna in Western art, 267, 280

Masaccio, and artistic change, 237, 279, 287

Mashetta, castle, façade, 215

Mask, and Classical drama, 316, 317n., 318, 323

ass, Western functional concept, 415; effect of quantum theory, 419

Materialism, and Goethe’s living nature, 111n.; Buddhism as, 356; in Western ethics, 368; and Socialism, 370

xviiiMathematics, spatial concept, 6n., 7; plurality, cultural basis, 15, 59-63, 67, 70, 101, 314; position, 56; and extension, 56; and nature, 57; wider-culture vision and analogy, 57, 58; beginning of number-sense, 59; as art, 61, 62, 70; vision, 61; of Classical Culture, positive, measurable numbers, 63-65, 69, 77; and time and becoming, 64, 125, 126; symbolism in Classical, 65-67, 70; religious analogy, 66, 70, 394; and empirical observation, 67; character of Arabian, 71-73; primitive levels, 73; Western, and infinite functions, 74-76; Western need of new notation, 76; as expression of world-fear, 79-81; and Western meaning of space, 81-84, 88; and proportion and function, 84; construction versus function, 85; virtuosity, 85; and physiognomic morphology, 85; Western, and limit as a relation, 86; Western abstraction, 86, 87; Western conflict with perception limitations, 87, 170, 171; culmination of Western, groups, 89, 90, 426; paradigm of Classical and Western, 90; and the how, what, and when, 126; cultural relation to art, 129, 130; Classical sculpture and Western music as, 284; impressionism, 286; vector and Baroque art, 311; esoteric Western, 328; and philosophy, 366; replacement by economics, 367; theory of aggregates, and logic, 426; cultural contemporary epochs, table i. See also Nature; Number; branches by name

Matter. See Body; Natural science

Matthew Passion. See Schütz, Heinrich

Maxwell-Hertz equations, 418

Maya Culture. See Mexican

Mayer, Julius Robert, and theory, 378; and conservation of energy, 393, 412, 417

Mazarin, Jules, Cardinal, morale, 349

Mazdaism, as Arabian, 209; architectural expression, 211; and pneuma, 216; music, 228; contemporaries, table i

Mazdak, contemporaries, table i

Meander, motive, 316, 345

Mechanics, and fourth dimension, 124. See also Motion; Natural science

Mediæval History, as term, 16, 22

Medicis, Hellenic sorriness, 273

Megalopolitanism, and Civilization of a Culture, 32-35, 38; and systematism, 102. See also Civilization

Melody, Classical and Western, 227

Memlinc, Hans, in Italy, 236; and Renaissance, 274

Memory, conception, 103; as organ of history, 132; as term, 132

Mencius, practical philosophy, 45

Mendicant Orders, as exception, 348

Menes, contemporaries, table iii

Menzel, Adolf F. E., and body, 271; impressionism, 286; and grand style, 290, 291

Merovingian-Carolingian Era, contemporary art epochs, table ii

Mesopotamia, synagogues, 210

Messenians, provided history, 11

Metaphysics, and scientific research, 154; and symbolism, 163; Western and pairs of concepts, 311; basis of Classical, 311; period in philosophy, 365-367. See also Ethics; Philosophy.

Mexican (Maya) Culture, and historical scheme, 16, 18; and time measurement, 134n.; ornament, 196; and tutelage, 213

Meyer, Eduard, on Spengler, x; on Classical Culture and geography, 10n.

Meyerbeer, Giacomo, Rossini on Huguenots, 293

Michelangelo, liberation of architecture, beginning of Baroque, 87, 206, 225n., 313; materiality, obsession by the architectural, 128; St. Peter’s, 206, 238; and passing of sculpture, 223, 244; anticipations, 263; and physiognomy of muscles, 264; nude, and portrait, 272; sonnets, 273; as dissatisfied thinker, 274; unsuccessful quest of the Classical, 275-277, 281; and marble, 276; architecture as final expression, 277; and popularity, 327; God-feeling, 395; contemporaries, table ii

Michelozzo, Bartolommeo di, and Classical, 415

Michelson, Albert A., experiments, 419

Middle Kingdom, contemporaries, tables i-iii

Milesians, physical theory, 386

Miletus, form-type of Didymæum, 204; and Egypt, 225

Milinda, King, and Nagasena, 356

Military art, Western, 333n.

Mill, John Stuart, and economic ascendency, 367, 373

Millennianism, as Western phenomenon, 363, 423

Mineralogy, and geology, 96

Minerva Medica, Syrian workmen, 211

Ming-Chu, contemporaries, table iii

Ming-ti, contemporaries, table iii

Minkowski, Hermann, imaginary time, 124n.; and Relativity, 419

Minnesänger, rules, 193; imitative music, 229

Mino da Fiesole, and portrait, 272

Minoan art, character, 198; contemporaries, 241

Minstrels, imitative music, 229

Mirabeau, Comte de, and imperialism, 149; contemporaries, table iii

xixMiracles, cultural attitude toward, 392, 393

Missionarism, Stoic, 344n.; and diatribe, 360

Mithraists, and pneuma, 216; form-language of mithræa, 224; music, 228; cult in Rome, 406, 406n.

Mitylene, episode and Classical time-sense, 133n.

Moab, Castle of Mashetta, 215

Modern History, as irrational term, 16-18

Mörike, Eduard, poetry, 289

Mohammed. See Islam

Moissac, church ornamentation, 199

Molière, tragic method, 318

Mommsen, Theodor, on Classical historians, 11; narrow Classicalism, 28

Monasticism, and Western morale, 316n.; order-movement, 343; mendicant orders, 348

Money, Roman conception, 33; as hall-mark of Civilization, 34-36

Monophysites, Islam as heir, 211; as alchemistic problem, 383; contemporaries, table i

Monteverde, Claudio, music, 226, 230, 249, 283

Morale, plurality, cultural basis, no conversions, 315, 345-347; Western, and activity, 315; and analysis, 341; Western moral imperative, 341, 342; intellectual and unconscious concepts, 341n.; Western purposeful motion, ethic of deed, 342-344, 347; Western Christian, 344, 348; and art, 344; morphology, 346; compassion, cultural types of manly virtue, 347-351; real and presumed, phrases and meanings, 348; Classical, and happiness, 351; instinctive and problematic, tragic and plebeian, 354, 355; end phenomena, cultural basis, 356-359; Civilization and diatribe, 359, 360; and diet, 361; qualities and aim of Socialism, 361-364; and cultural atomic theories, 386. See also Ethics; Spirit

Moravians, as exception, 348

Morphology, Spengler and historical, xi; concept of historical, 5-8, 26, 39; historical, and symbolism, 46; historical, ignored, 47; symmetry, 47; historical and natural, 48; historical, Western study of comparative, 50, 159; comparative, knowledge forms, 60; of mathematical operations, 85; systematic and physiognomic, 100, 101, 121; of world-history explained, 101; of Cultures, 104; historical homology, 111, 112; element of causal and destiny, 121; of morales, 346; of history of philosophy, 364-374; of exact sciences, 425

Mortality. See Death

Mosaic, as cultural expression, 214; and Arabian gold background, 247; eyes, 329; contemporaries, table ii

Mosque, architectural characteristics, 200, 210; contemporaries, table ii

Motherhood, cultural attitude, meaning, 136, 137; and destiny, portraiture, 267

Mo-ti, practical philosophy, 45

Motion, and fourth dimension, 124; Eleatic difficulty, 305n.; and natural science, 377, 387-391. See also Natural science

Motion pictures, and Western character, 322

Mozart, Wolfgang Amadeus, contemporary mathematic, 78, 90; period, 108, 284; orchestration, 231; colour expression, 252n.; ease, 292; contemporaries, table ii

Mummies, as symbol, 12, 13, 135

Murillo, Bartolomé, period, 283

Murtada, and will, 311

Museums, as historical symbols, 135; change in meaning of word, 136

Music, thoroughbass and geometry, 61; mathematical relation, 62, 63; of Baroque period, 78; and proportion and function, 84; bodilessness of Western, development, 97, 177, 230, 231, 283; history of instruments, 195; Western church, as architectural ornament, 196, 199; as art of form, 219, 221n.; and allegory, 219n.; as channel for imagination, 220; Classical, 223, 227, 252n.; form-ideal of Western, 225; technical contrast of Classical and Western, 227n.; word and organism, cultural basis, 227, 228; Arabian, 228; Chinese, 228; imitation and ornament, 228; ornamental and imitative Western, 229; secularization, thoroughbass, 230; of Renaissance, 234; Flemish influence in Italy, 236; and horizon in painting, 239; pastoral, and gardening, 240; esoteric Western, 243; as Western prime phenomenon, 244, 281-284; and Western painting, 250, 251; instruments and colour expression, 252; instrumental as historical expression, 255; and uncleanliness, 260n.; and portrait, 262, 266; Catholic, 268n.; Michelangelo’s tendency, 277; Western, and Classical free sculpture, 283, 284; climacteric instruments, 284; and Rococo architecture, 285; impressionism, 285, 286; and later German school of painting, 289; Wagner and death of Western, 291, 293; his impressionism, 292; and Western soul, 305; and Western concept of God, 312; and character, 314; place of organ, 396; Western contemporary natural science, 417; contemporary cultural epochs, table ii. See also Art

Muspilli, and Northern myths, 400, 423

Mutazilites, contemporaries, table i

Mycenæ, funeral customs, 135; contemporaries, tables, ii, iii

Mycerinus, dynasty, 58n.

Myron, sculpture as planar art, 225, 226, 283; Discobolus, 263, 264

xxMysteries, Classical, 320. See also Religion

Mysticism, art association, 229; and dualism, 307; cultural culmination, 365n.; and concept of force, 391; contemporaries, table i

Myth, natural science as, 378, 387

Mythology, significance in Classical Culture, 10, 11, 13; origin, 57. See also Religion

Nagasena, materialism, 356

Names, as overcoming fear, 123; concretion of numina, 397

Napoleon I, analogies, 4, 5; romantic, 38; imperialism, 42, 149-151; as destiny and epoch, 142, 144, 149; egoism, 336; morale, 349; and toil for future, 363; contemporaries, table iii

Napoleonic Wars, and cultural rhythm, 110n.

Nardini, Pietro, orchestration, 231

Natural science, mechanics and motion, cultural basis of postulate, 377, 378; fact and theory, cultural images, 378-380; Western, and depth-experience, tension, 380, 386, 387; and religion, cultural basis, 380-382, 391, 411, 412, 416; scientific period of a Culture, 381; cultural relativity, 382; cultural nature ideas and elements, 382-384; statics, chemistry, dynamics, cultural systems, 384; cultural atomic theories, 384-387; thinking-motion problem, system and life, 387-389; mechanical and organic necessity, 391; cultural attitude on mechanical necessity, 392-394; things and relations, 393; conservation of energy and Western concept of experience, 393; theory and religion, Western God-feeling, 395; naming of notions, 397; and atheism, 409; Western dogma of undefinable force, provenance, stages, 412-417; as to Western statics, 414, 415; mass concept of Civilization, work-idea, 416, 417; disintegration of exact, contradictions, 417-420; physiognomic effect of irreversibility theory, 420-424; effect of radioactivity, 423; decay, 424; morphology, convergence of separate sciences, 425-427; anthropomorphic return, 427. See also Nature

Natural selection, and Western ethics, Superman, 371. See also Darwinism

Naturalism, antiquity, 33, 207, 288; in art, 192

Nature, contrast of historical morphology, 5, 7, 8; definite sense, and history, 55, 57, 94-98, 102, 103; and learning, 56; mathematics as expression, 57; as late world-form, 98; mechanistic world-conception, 99, 100; systematic morphology, 100; and causality and destiny, 119, 121, 142; cultural viewpoints, 131, 263; timelessness, 142, 158; historical overlapping, living harmonies, 153, 154, 158; and intellect, 157; personal connotations, 169; soul as counter-world, 301; and reason, 308. See also Causality; History; Mathematics; Natural science; Space; Spirit

Naucratis, and Miletus, 225n.

Naumann, Johann C., architecture, 285

Nazzâm, on body, 248; contemporaries, table i

Necessity, mechanical and organic, 391

Nemesis, character of Classical, 129, 320. See also Destiny

Neo-Platonists, as Arabian, 72; and pneuma, 216; and body, 248; dualism, 306; unimposed mystic benefits, 344n.

Neo-Pythagoreans, and body, 248; and mechanical necessity, 393

Nerva, forum, 198, 215

Nestorianism, and art, 209, 211; music, 228; and home, 334; as alchemistic problem, 383; contemporaries, table i

Neumann, Karl J., on Roman myths, 11

New York City, and megalopolitanism, 33

Newton, Sir Isaac, and “fluxions”, 15n.; artist-nature, 61; mathematic and religion, 70, 396, 412; mathematical discoveries, 75, 78, 90; and time and space, 124, 126; light theory, and Goethe’s theory, 157n., 158n., 422; dynamic world-picture, 311; deeds of science, 355; and motion-problem, 390, 391; and metaphysics, 366; and force and mass, 415, 417; contemporaries, table i

Nibelungenlied, and Homer, 27; esoteric, 328; and Western Christianity, 400-402

Nicæa, Council of, and Godhead, 249

Nicephorus Phocas, and Philopatris dialogue, 404n.

Nicholas of Cusa, astronomical theory, 69; religion and mathematic, 70; musical association, 236; contemporaries, table i

Nicholas of Oresme, and beginning of Western mathematic, 73, 74, 279; art association, 229; Occamist, 381

Niese, Benedictus, on Roman myths, 11

Nietzsche, Friedrich Wilhelm, influence on Spengler, xiv, 49n.; provincialism, 24; Classical ideology, 28, 28n.; on city life, 30; unpopularity, 35; practical philosophy, 45; and historical unity, 48; and detachment, 93; and Wagner, 111, 291, 370; on history and definition, 158; on art witnesses, 191; autumnal accent, 241; on Greeks and colour, 245; on “brown” music, 252; on Greeks and body, 260; will and reason, 308; and morale, 315, 342, 346; and home, 335; actuality of “Mann”, 347, 350; and Civilization, 352; character of Nihilism, 357; and diet, 361; nebulous aim, 363, 364; and mystic philosophy, 365n.; and mathematics, 366; ethics and metaphysics, 367;

xxi materialism, 368; and evolution and Socialism, 370-372; position in Western ethics, 373, 374; on pathos of distance, 386; dynamic atheism, 409; contemporaries, table i

Niflheim, lack of materiality, 403

Nihilism, and finale of a Culture, 352; cultural manifestations, 357

Nirvana, ahistoric expression, 11, 133; and zero, 178; conception, 347, 357, 361. See also Buddhism

Nisibis, and Arabian art, 209

Northmen, discoveries, 330

Norwich Cathedral, simplicity, 196

Notre-Dame, Madonna of the St. Anne, 263

Nude, in Classical art, necessity, 130, 260-262, 317; cultural basis of feeling, 216, 270, 272; as element of Classical Culture only, 225

Nürnberg, loss of prestige, 33; church statuary, 103; church and styles, 205; as religious, 358

Numa, cult, 185; contemporaries, table i

Number, chronological and mathematical, 6, 7, 70, 97; defined, 67; numbers and mortality, 70; Arabian indeterminate, 72; Western Culture and functional, 74, 75, 90; Western attitude and notation, 76, 332n.; symbolism, 82, 165; astronomical, 83, 332n.; cultural attitudes, 88; and the become, 95; and numbering, 125; Indian conception, 178; functional, and causality, 393. See also Mathematics

Numina, naming, 397. See also Religion

Nyaya, contemporaries, table i

Oak, as symbol, 396

Occamists, physical theory, 381, 389

Odo, Bishop, as warrior, 349n.

Odysseus, as enduring, 203

Okeghem, Joannes, music, 130; and popularity, 243

Oken, Lorenz, and dualism, 307

Old Kingdom, and care, 137; contemporaries, tables ii, iii

Old Nordic art, as Arabian, 215

Oldach, Julius, act and portrait, 271n.

Omar, Mosque of, characteristics, 200n.

Ommayad period, homology, 111

Opera, and orchestra, 230

Oracle, Classical, 147

Oratorio, and orchestra, 230

Orchomenos, funeral customs, 135

Oreads, passivity, 336

Oresme. See Nicholas of Oresme

Organ, and Western devotions, 396

Origen, and dualism, 306; morale, 348; contemporaries, table i

Ormuzd, Persian God, 312

Ornament, qualities and aim, 191-194; opposition to imitation, 194-196; building and its symbolic decoration, 196; pictorial period, 197; and Civilization, 197, 294; in music, 228, 230, 231; Renaissance, 233n., 238. See also Decoration; Imitation

Orpheus, cult, 185; as Christian title, 408n.; contemporaries of discipline and movement, table i

Otto the Great, egoism, 336

Owen, Sir Richard, and morphology, 111

Pachelbel, Johann, organ works, 220

Pacher, Michael, colour, 250

Paderborn Cathedral, simplicity, 196

Pæonius, Nike, 263; period, 284

Pæstum, temple, 224, 235

Paewati worshippers, sect, 136n.

Painting, perspective and geometry, 61; allegorical, 219n.; and form-ideal of Classical sculpture and Western music, 226, 232; word and organism, 227; Flemish influence in Italy, 236; Renaissance fresco to Venetian oil, line to space, 237, 279-281; development of background in Western, 239; form and content, outline and colour, 242; cultural expression and popularity, 243; oil, as Western prime phenomenon, period, 244, 281-283; Classical and Western colours, 245-247; outdoor and indoor, 247; symbolism in brushwork, 249; of Western Civilization, 251; Baroque portraits, 265; and destiny of Western art, 276n.; Leonardo and discovery, spiritual space, 277-280; Western studio-brown, pictorial chromatics, 250, 288; Classical limitation, 283, 287; full meaning of Impressionism, 285-287; 19th Century episode, plein-air, 288; German school and grand style, 289; Baroque and concept of vector, 311; and time of day, 325; Western, and spectator, 329; Western, and contemporary natural science, 417; contemporary cultural epochs, table ii. See also Art; Portraiture

Palazzo Farnese, style, 205; Michelangelo’s cornice, 275

Palazzo Strozzi, style, 234; and artistic sentiment, 272

Palermo, and Arabian Culture, 211, 216

Palestrina, Giovanni da, style, 220, 230, 323; and popularity, 243; Michelangelo’s heir, 274, 277; God-feeling, 395

Palladio, Andrea, style, 30, 414

Palma, Jacopo, colour, 252

Palmyra, basilica, 209n.; Baal, 407

Pan, idea, 403

Panama Canal, Goethe’s prophecy, 42

“Panem et circenses”, as symbol, 362

Pantheon, as mosque, 72, 211

xxiiPaolo Veronese, clouds, 240; colour, 252

Papacy, contemporaries, table iii

Paracelsus, Philippus, and chemistry, 384

Parallel axiom, 83, 88, 176n.

Paris, and Athens, 27; culture city, 33; autumnal city, 79; Flemish influence, 236n.; as irreligious, 358

Paris, Peace of (1763), and imperialism, 150

Park. See Gardening

Parmenides, civic world-outlook, 33; thinking and being, 387

Parthenon, Three Fates as type, 268; horse’s head, Rubens contrast, 271; popularity, 327

Pascal, Blaise, and actuality, 42; faith and experience, 66, 394; mathematic, and Archimedes, 69, 75, 90, 126; and predestination, 141; and Jansenists, 314n.; and Western morale, 348; contemporaries, table i

Passion, in Christian cult, 320n.

Passivity, as Classical trait, 315, 320; and pathos, 320n.

Past, and passing, 166

Pastels, and music, 232

Paterculus, C. Velleius, view of art, 205

Path. See Way

Pathos, and passion, 320n.

Patina, symbolism, 253

Patriotism, cultural concept, 334-337

Patristic literature, contemporaries, table i

Paul, Saint, and world-history, 18n.; and dualism, 306; and will, 344; and diatribe, 360; error on “Unknown God”, 404

Paulicians, and art, 209, 211; iconoclasm, 262; contemporaries, table i

Paulinzella Monastery, simplicity, 196; and antique, 275n.

Pausanias, culture, 254n.; on altars to unknown gods, 404n.

Pazzi, chapel, 313

Peace, Classical and Western conception, 275n.

Peasant, as Culture relic, 354

Peloponnesian War, as epoch, 149

Pepi. See Phiops

Perception, and “alien”, 53; Western transcendency, 87-89; space and time as forms, 169-171, 173

Percival, archetype, 402

Pergamene art, modernity, 111; composition, 244, 260; gigantomachia, 291, 352; actuality, 364; contemporaries, table ii

Pericles, homology, 111; portrait, 130n., 269; and economic organization, 138; morale, 349

Peripatos, contemporaries, table i

Persians, architectural expression, 209; and home, 335; contemporary art periods, table ii. See also Arabian Culture

Perspective, Classical attitude, 109; Western painting and gardening, 240-242; as soul-expression, 310n.; Western, and astronomy, 330

Perugino, technique, 249; and portraiture, 272; and artistic change, 279; simplicity, 280

Pessimism, and Spengler’s theories, xiv, 40

Peter the Great, and Europe, 16n.

Peterborough Cathedral, simplicity, 196

Petra, Baal, 407

Petrarch, Francesco, analogy, 4; historic consciousness, 14; narrow Classicalism, 29, 275

Petrinism, Tolstoi’s connection, 309

Phallus, as symbol, cult, 136, 267, 320

Phidias, contemporary mathematic, 78, 90; and portraiture, 130n.; and soulless body, 225, 267; popularity, 243; and self-criticism, 264; and marble, 276; and Handel, 284; period, 284; as religious, 358; contemporaries, table ii

Philanthropy, Aristotle’s, 351

Philippe de Vitry, and counterpoint, 229n.

Philo, and body, 248; and Jesus, 347

Philopatris dialogue, source, 404n.

Philosopher’s Stone, as symbol, 248, 307

Philosophy, truth and individual attitude, xv; natural and historical, 7, 8; anonymous Indian, 12; provincialism, 22, 23; epochal limitations, cultural boundaries, 41, 46, 364, 367; test of value, actuality, 41-43; present-day Western, and cultural destiny, 43-45; development of Western practical, 45; scepticism as final Western, 45, 374; of becoming and become, 49n.; and mathematics, 56, 64, 366; Kant’s postulates, 59; comparative forms of knowledge, 60; and names, 123; scientific, of time, 124; tabulation of categories, 125; and death, 166; Western art association, 229; of Culture and Civilization, 354, 355; cultural questions, early posing, 364; course within each Culture, 364; metaphysical and ethical periods, 365-367. See also Ethics; Metaphysics; Spirit

Phiops, Western contemporary, 202n.; statue, 265

Phlogiston theory, Stahl’s, 384

Phœnicians, and discovery, 65, 333

Phrynichus, fine, 321

Physics, cautious hypotheses, 156; Jesuits and theoretical, 314n.; and popularity, cultural basis, 327, 328. See also Natural science

Physiognomy. See Destiny; Portraiture

Picturesqueness, and historical expression, 255

Piero della Francesca. See Francesca

Pigalle, Jean B., sculpture, 244

Pindar, as religious, 358

Pine, as symbol, 396

Piombo, Sebastiano del. See Sebastiano

xxiiiPiræus, and unknown gods, 404

Pisano, Giovanni. See Giovanni

Pisistratidæ, as period of fulfilment, 107

Planck, Max, atomic theory, 385, 419

Plane, significance in Egyptian architecture, 189

Plastic. See Sculpture

Plato, ahistoric consciousness, 9, 14; and clepsydra, 15; provincialism, 22; and actuality, 42; philosopher of the becoming, 49n.; metaphysics and mathematics, 56, 67, 69, 71, 84, 90, 366; and the irrational, 66; and Goethe’s “mothers”, 70; and mechanistic world-conception, 99; foreshadowing by, 111; and the Almighty, 124; Kant on, 125; as Aristotle’s opposite, 159; anamnesis, 174; and idolatry 268n.; on soul, 304, 305; and ego, 311; and ethics, 354; and mystic philosophy, 365n.; and science and religion, 394; contemporaries, table i

Plein-air, as Civilization painting, 252; characterized, 288

Pliny, on Mesopotamian temples, 210n.; on Lysistratus, 269; on Lysippus, 287; as collector, 425

Plotinus, world, 56; and philosophical transition, 72; and vision, 96; homology, 111; and body, 248; and dualism, 306; and Jesus, 347; and Arabian Culture, 383; and mechanical necessity, 393; contemporaries, table i

Plutarch, as biographer, 14, 316; and dualism, 306

Pneuma, as Arabian principle, 216, 329; and eyes in Arabian art, 329. See also Dualism

Pöppelmann, Daniel, architecture, 285

Poetry, infinite space in Western, 185; Western, as confession, 264, 273; Western and Classical lyric, 286, 324. See also Drama; Literature

Poincaré, Henri, on mathematical vision, 61n.

Point, and Western geometry, 74, 82, 89

Point de vue, in Rococo parks, 240

Polar discovery, as symbol, 335

Polis, as Classical symbol, 83, 147, 334

Polish, as symbol in art, 248n.

Politics, inadequate basis for historical deductions, 46; under Classical Culture, 83, 147, 334; meaning of the state, 137; spatial aspect of Western, 198; origin of Arabian state, 212; Renaissance attitude, 273; cultural conception, 334-337; and atomic theories, 386; contemporary cultural epochs, table iii. See also Imperialism; Philosophy; Socialism

Pollaiuolo, Antonio, Dutch influence, 236; goldsmith, 237

Polybius, ahistoric consciousness, 10

Polycletus, contemporary Western music, 27,112, 177, 284; contemporary mathematic, 78; sculpture, canon, 177, 225, 226, 231, 260n., 283, 284; present-day appeal, 255; and self-criticism, 264; and statue of Augustus, 295; and fresco, 321

Polycrates, contemporaries, table iii

Polygnotus, contemporaries, 112, table ii; frescoes, background, colour, 147, 183, 221, 243, 245, 283, 330

Pombaditha, academy, 381

Pompeii, wall-paintings, 287

Pompey the Great, army, 36

Pope, Alexander, type, 254

Popularity, cultural basis, 85, 243, 326-328, 362; in colour, 246

Porcelain, and Western music, 231

Porphyry, and “antique”, 20n.; academy, 281

Port Royal, contemporaries, table i. See also Jansenism

Porta, Baccio della. See Bartolommeo

Porta, Giacomo della. See Giacomo

Portinari altar, 236

Portraiture, and biography, 12; character of Classical, nude sculpture, 13, 260, 261, 264, 265, 269, 272; cultural basis and expression, character and attitude, 101, 104, 216, 260, 317; portrait as Western expression, 130, 261-266; and Arabian Culture, 223; and Gothic, 261, 266; and confession, 264; contrast of act and portrait, 262, 266, 270, 271; depth-experience, impressionism, 266, 287; child and group portraits, motherhood, 266-268; Renaissance, 271-273; Leonardo’s relation, 281; landscape as, 270n., 287; Roman statues, 295; and will, 309; American, as irreligious, 358n. See also Soul

Portuguese, and discovery, 333

Poseidon, temple of, as model, 224

Posidonius, and dualism, 306; as collector, 425

Potsdam, architecture, 207

Poussin, Nicolas, musical analogy, 220; colour, 246; period, 283

Prag, loss of prestige, 33

Praxiteles, contemporary mathematic, 90; sculpture, 226, 270; Hermes, 264; and womanhood, 268; and Haydn, 284; period, 284; ease, 291

Predestination. See Destiny

Present, and becoming, 54; significance in Classical Culture, 63, 65-67

Pre-Socratics, philosophy, 41, 175, 305; and mathematics, 366; contemporaries, table i

Prime phenomena, Goethe’s living nature, vii, 95, 96, 105, 111n., 113, 140, 154, 389; in history, 105; and destiny, 121; of Western Culture, 244. See also Symbols

xxivPrinciple, and causality, 121

Proclus, and Jesus, 347

Procopius, courtier, 207

Progress, as phenomenon of Civilization, 352, 361

Prohibition, and Civilization, 361

Proper, and alien, 53

Proportion, and function, 84

Propylæa, popularity, 327

Protagoras, conception of man, 311, 392; popularity, 327; and Classical morale, 351; and Stoicism, 356; problem, 365; condemnation, 411

Protestantism, colour symbolism, 250; of etching, 290; and works, 316n.; as symbol, 343. See also Reformation.

Proud’hon, Pierre Joseph, position in Western ethics, 373

Providence, and destiny, 141

Provinces, defined, 33

Provincialism, philosophical and historical, 22-25

Prussia, great periods, 36; English basis of reorganization, 150n.

Psalmody, Jewish, 228

Pseudomorphosis, Late-Classical style, 209-212, 214; and image, 216; music, 228

Psychologists, period, contemporaries, table i

Psychology, “scientific”, and soul, 299-303, 313; as counter-physics, 301; and will and soma, 319

Ptolemy II Philadelphus, and ruler-cult, 405

Ptolemy, L. Claudius, relation of Copernicus, 139n.; as copyist, 425

Puget, Pierre, sculpture, 244

Punic Wars, as classic, 36; and cultural rhythm, 110n.; homology, 111; intensity, 333

Purcell, Henry, pictorial music, 283

Pure reason, and destiny, 120

Puritanism, as common cultural feature, 112; and destiny, 141; and imperialism, 148; cultural contemporary epochs, table i

Putto, as art motive, 266

Puvis de Chavannes, Pierre, and religious painting, 288n.

Pygmalion and Galatea, and marble, 276

Pyramids, period, 58n., 203

Pyrrho, contemporaries, table i

Pyrrhus, Roman war, 36

Pythagoras and Pythagoreans, analogy, 39; and actuality, 42; mathematical vision, 57, 58; and Classical mathematic, 61, 62, 64; new number, and fate, 65n., 82, 90; mathematic and religion, 70, 394; contemporaries, 112, table i; and Copernicus, 330; and mystic philosophy, 365n.; and metaphysics, 366

Quadratures, and Archimedes’ method, 69

Quantum theory, effect, 419

Quattrocento, and Gothic, 221. See also Renaissance

Quercia, Jacopo della. See Jacopo

Quesnay, François, economic theory, 417

Race-suicide, as phenomenon of Civilization, 359

Radioactivity, effect on natural science, 423

Ragnarök, Muspilli as contemporary, 400; and world’s end, 400

Rameses II, analogy, 39; and artistic impotence, 44, 294; contemporaries, table iii

Ranke, Leopold von, and analogy, 4, 5; and historical tact, 22; on historical vision, 96

Raphael Sanzio, Madonnas, 136, 268, 280; technique, 221, 278; and Titian, 227; and background, 237; popularity, 243; colour, 245; and confession, 264; and portrait, 272; as dissatisfied thinker, 274; and fresco and oil, line and space, 279, 280

Raskolnikov. See Dostoevsky

Rationalism, and chance, 142n.; contemporaries of English, table i

Ravenna, and Arabian Culture, 206, 211, 216, 235; mosaics, 221, 247, 329

Rayski, Louis F. von, art and portrait, 271n.

Reason, and will, 308

Red, symbolism, 246

Reformation, conflicts in Germany, 33; and Dionysiac movement, 111; as common cultural epoch, 112; class-opposition to Renaissance, 229; contemporaries, table i

Reims Cathedral, 224; statuary, 267

Relations, and magnitudes, 84, 86

Relativity theory, and time, 124n.; effect on natural science, 419; domain, 426

Relief, Egyptian, 189, 202; and Classical round sculpture, 225. See also Sculpture

Religion, reality of Classical, 10, 11, 13; relation of clock and bell, 15n., 134n.; and number, 56; mathematical cultural analogy, 66, 70; stage in a Culture, 108, 399-402; second period, sequel to Civilization, 108, 424-428; Western, and “memory”, 132n.; and death, 166; birth of Western soul, 167; and early art periods, 185; cultural expression, 185-188, 399, 401; Egyptian, 188; Chinese, 190; and imitation, 191; architecture as ornament, 195; Russian, 201n.; Arabian architecture, 208; Classical, and art, 268; and plein-air painting, 288n.; revelation and dualism, 307; cultural soul-elements, and deities, 312; and Classical drama, 320; and astronomy, 330; relation to Civilization, 358;

xxv and hygiene, 361; and philosophy, 365; and natural science, 380-382, 391, 411, 416; Western experience and faith, 394; varieties, 394; and theory, 395; God-feelings, 395; depth-experience in Western, cathedral, organ, 395-397; naming of numina, 397; Classical bodied pantheon, 398, 402; Western deity as force, unitary-space symbol, 398, 403, 413; of primitive folk, 399; elements of Western, 399-401; Classical, and strange gods, 404; late Classical, dislocation and monotheism, Arabian ascendency, 406-408; cult of deified men, 405, 407, 411; atheism as phenomenon, 408-411; cult and dogma, cultural attitude, 410, 411; contemporary cultural epochs, table i. See also Death; Soul; Spirit; creeds and sects by name

Rembrandt, portraiture, and confession, 101, 103, 130, 140, 264, 266, 269, 281, 300; contemporaries, 112, table ii; inwardness, colour, 183, 251-253; etchings, nights, 187, 246, 290; musical counterpart, 220; and horizon, 239; esoteric, 243; depth, 244; and body, 271; period, 283; impressionism, 287, 288; and psychology, 319

Renaissance, contemporaries, 27, table ii; mathematic, 71; relation to Classical, as revolt, illusion, 28n., 132n., 232-234, 237, 238, 252, 266, 272-274, 279, 323; homology, 111; and beautiful, 194; and Western style, 202, 205, 206, 221, 223, 225, 244; and Arabian and Gothic, 212, 234-238; and polychrome sculpture, 226; class-opposition to Reformation, 229; ornament, 233n., 238; façades and courtyards, 235; arch and column, 236; park, 241; and popularity, 243, 328; and patina, 253; and child-figures, 266; and portrait, 271-273; and spiritual development, 273; leaders as dissatisfied thinkers, 274, 281; Michelangelo, 275-277, 281; Raphael, 279, 280; Leonardo, 277-281; and background, 237; and statics, 414

Renoir, Pierre A., striving, 292

Resaïna, academy, 381

Research, and vision, 95, 96, 102, 105, 142; historical and scientific data, 154; metaphysical, 163

Restorations, Western attitude toward, 254

Resurrection, change in meaning, 135n.

Rhine River, as historic, 254n.

Rhodes, Cecil, analogy, 4; and imperialism, 37, 38; morale, 349, 351

Rhodes, as “Venice of Antiquity”, 49; and Helios, 402

Richelieu, Cardinal, morale, 349; contemporaries, table iii

Riegl, Alois, on Arabian art, 208, 215

Riemann, Georg F. B., artist-nature, 61; relation to Archimedes, 69; religion and mathematic, 70; notation, 77; and boundlessness, 88; mathematical position, 90; goal of analysis, 418; contemporaries, table i

Riemenschneider, Tilmann, and portraiture, 270

Robespierre, Maximilien, adventurer, 149; contemporaries, table iii

Rococo, as stage of style, 202; architecture and music, 231, 232, 285; parks, 240; contemporaries, table ii. See also Baroque

Rodin, Auguste, sculpture as painting, 244, 245

Rogier van der Weyden, in Italy, 236

Roman Catholicism, colour symbolism, 247-249; and music, 268n.; monasticism, 316n., 343, 348; esoteric dogma, 328; prelates and manly virtue, 349. See also Christianity; Jesuitism

Roman law, and cultural-language, 310n.

Romanesque, simplicity, 196; as stage of style, 201, 202; and Classical, 275n.

Romanticism, defined, 197; and mysticism, 365n.; and mathematics, 366

Rome, city, megalopolitanism, 32, 34

Rome, empire, and Classical Culture, 8; imperialism, 36-38, 336; and Arabian Culture, 72, 207, 208; army and citizenship, 325; emperor-worship, 405, 407, 411; and toleration, 411. See also Classical Culture

Rondanini Madonna, as music, 277

Rondeau, origin, 229

Roof, as Arabian expression, 210

Rore, Cyprian de, in Italy, 236; music, 251, 252

Rossellino, Antonio, and portrait, 272

Rossini, Gioachino, Catholicism, 268n.; on Meyerbeer, 293

Rottmann, Karl, and grand style, 289

Rousseau, Jean Jacques, and naturalism, 33, 207, 288; and superficially incidental, 144; and imperialism, 149, 150; autumnal accent, 207; and Civilization, 352; contemporaries, 353n., table i; and compassion, 362; and Darwinism, 369; intellect and wisdomwisdom, 409

Rubens, Peter Paul, colour, 253; and body, 270, 271n., 278; and dynamics, 414

Ruins, as Western expression, 254

Ruler-cult, 405, 411

Runge, Otto P., and grand style, 289

Russia, and the West, 16n.; stage of art, 201; architecture, 211; ignored art, 223; will-less soul, 309; culture and charity, 350

Rutherford, Sir Ernest, atoms as quanta of action, 385, 419

Ruysdael, Jakob, colour, 246; period, 283

xxviSabæans, and early Christian designs, 22n., 209n.; temple-form, 210n.; art, 223; art contemporaries, table ii

Sahu-rê, pyramid, 203

St. Denis, royal tombs, 261, 264

St. Lorenz Church, Nürnberg, and styles, 205

St. Mark, Venice, origins, 211

St. Patroclus, Soest, arcade-porch, 205

St. Paul without the Walls, as Pseudomorphic, 210, 210n.

St. Peter’s, Rome, as Baroque, 206, 238

St Pierre et St Paul, Moissac, ornamentation, 199

St. Priscilla, catacombs, paintings, 137

St. Vitale, Ravenna, characteristics, 200

Sainte-Chapelle, Paris, boundlessness, 199

Saints, contemporary legends, 400, table i

Saivas, Lingayats, 136n.

Saktas, 136n.

Salamanca, loss of prestige, 33

Salvation Army, as exception, 348

Samarra, contemporaries, table ii

Samnites, Roman war as classic, 36, 151n.

Samos, Hera of Cheramues, 225n.

Sangallo, Antonio da, Palazzo Farnese façade, 275

Sankhya, and Buddhism, 353n., 356; contemporaries, table i

Sant’ Andrea, Pistora, Pisano’s Sibyls, 263

Santa Maria Novella, Florence, style, 234; Flemish paintings, 236

Sassanids, and Arabian state, 212; art 223; music, 228

Satyrs, materiality, 403

Savonarola, Girolamo, and art tendencies, 233; and Renaissance, 328; and Western morale, 348; contemporaries, table i

Scarlatti, Alessandro, character of arias, 219n.

Scene, dramatic, cultural basis, 325

Scepticism, as last stage of Western philosophy, 45, 374

Scharnhorst, Gerhard von, army reforms, 150n.

Schelling, Friedrich von, and dualism, 307; esoteric, 369; contemporaries, table i

Schiller, Johann C. F., tragic form, 147; banality, 155

Schirazi, and dualism, 307

Schlüter, Andreas, architecture, 244, 245, 285

Schöngauer, Martin, colour, 250

Scholasticism, art association, 229; will and reason, 305; and dualism, 307; cultural culmination, 365n.; contemporaries, table i

Schopenhauer, Arthur, and history, 7, 29, 97n.; provincialism, 23, 24; practical philosophy, 45, 368; and mathematics, 67, 125, 366; will, and reason, 308, 342; and Civilization, 352; and ethics, 354, 373; pessimism and system, 366, 370; and critique of society, 367; and Darwinism, 369, 372, 373; contemporaries, table i

Schroeter, Manfred, on criticism of Spengler, x

Schütz, Heinrich, Matthew Passion, 199, 244; and imagination, 220; pictorial music, 283; God-feeling, 395

Science, of history, 153, 154; esoteric Western, 328. See also Art; Mathematics; Natural science; Nature

Scipio, P. Cornelius, and economic organization, 138; contemporaries, table iii

Scopas, and self-criticism, 264; and body, 270; period, 284

Scott, Sir Walter, as historian, 96

Scrope, Richard, as warrior, 349n.

Sculpture, and proportion and function, 84; Classical, as become, 97; cultural basis, 216, 225; form-ideal of Classical, picture-origin, 225; polychrome, 226; music-origin of Rococo, 231; Gothic, 231, 261; use of marble, 232, 249n., 253, 276; Renaissance, 235, 237, 238, 253; position in Western Culture, 244; Egyptian, polish, 248n., 266; bronze, 253, 276; Classical expression of body as soul, 260, 261, 305; Michelangelo’s attitude, 275-277, 281; free Classical, and Western music, 283, 284; Classical, and time of day, 325; Classical, and spectator, 329; contemporary cultural periods, table ii. See also Art; Portraiture

Sebastiano del Piombo, and Raphael, 272

Second religiousness, period in a Culture, xi, 108, 424-428; of Rome, 306

Selene, as goddess, 147n., 402

Seleucus, astronomical theory, 68

Seljuk art, contemporaries, table ii

Semper, Gottfried, on style, 221

Seneca, L. Annæus, Stoicism and income, 33; and Baroque drama, 317

Sentinum, battle, 151

Septimius Severus, favourite god, 406

Serapis, cult, 406

Serenus, as Arabian thinker, 63

Servius Tullius, myth, 11

Sesostris, court, 81; as name, 206; autumn of Culture, 207

Sethos I, contemporaries, table iii

Sèvres ware, and Wedgwood, 150n.

Sex, naturalism, 24, 33, 207, 288; problem of Civilization, 35; cultural attitude, 136; historical aspects, 137

Sforzas, Hellenic sorriness, 273

Shaftesbury, Earl of, and imperialism, 150

Shakespeare, William, tragic form and method, vision, 129, 130, 141n., 142, 143, 220, 319; Bacon controversy, 135n.; and motive, 156;

xxvii as dramatist of the incidental, 142, 146; and historical material, 255; and Classical drama, 323; and time of day, 324; scenes, 325; God-feeling, 330, 395; ethical passion, 347, 355; and evolution, 370

Shang Period, contemporaries, table iii

Shaw, George Bernard, sex problem, 35; and history, 255n.; and morale, 346, 368, 369, 373, 374; superman, 350; and diet, 361; on Schopenhauer, 367; and Socialism and Darwinism, 371, 372

Shih-huang-ti, career, 112n.

Shiva, cult, 136n.

Short story, Western, 318n.

Siegfried, archtype, 402; contemporaries, table i

Siena, and counter-Renaissance, 234; school, 268

Signorelli, Luca de’, and Classicism, 221; and body and colour, 239, 242, 278; act and portrait, 270, 271; and statics, 414

Sikyon, Adrastos cult, 33n.

Silesian wars, and cultural rhythm, 110n.

Simone Martini, and Gothic, 235

Sistine Chapel, Michelangelo’s frescos, 263, 275, 395

Sistine Madonna, 268, 280

Six Classical Systems, contemporaries, table i

Skyscraper, and gigantomachia, 291

Sluter, Klaus, sculpture, 263

Smith, Adam, economic theory, 417

Soaring, as Western term, 397

Socialism, and Civilization, 32; and Darwinism, 35, 370-372; and economic motives, 36, 355; and imperialism, 37; Frederick William I’s practice, 138; ethical, defined, esoteric, 328n., 342, 347, 351, 355, 374; scientific basis of ideas, 353; as end-phenomenon, 356, 357; and contemporaries, immaturity, 357, 358, 361; irreligion, 359, 409; necessity, 361; dynamic qualities, and compassion, 361; and work, 362; and future, 363; tragedy of nebulous aim, 363; and lie of life, 364; and political economy, 367; contemporaries, table i

Sociology, biological, 155; and Western ethics, 367, 368

Socrates, ahistoric consciousness, 14; ethic, 347; and Civilization, 352; and Stoicism, 353n.; intellect and wisdom 409; condemnation, 410; contemporaries, table i

Soest, church, 205

Sol Invictus, cult, 406, 406n., 407

Sonata, movement, 231

Sophists, scientific basis, 353n., 356; and diet, 361; contemporaries, table i

Sophocles, ahistoric consciousness, 9; tragic form and method, 129, 130, 141n., 143, 146, 318, 321, 330, 386; statue, 269; deification, 405

Soul, and world and life, 54; mathematic expression, 101; of Cultures, inner image, 106, 303; and predestination, 117; individual, and macrocosm, 165, 259; cultural designations and attributes, 183; man as phenomenon, cultural expression, 259; Classical “body” expression, 259-261; Western expression in portrait, 261-266; knowledge and faith, 299, 300; as image of counter-world, 300; and “exact” science, 301, 302, 313; culture-language, 302; cultural basis of systematic psychology, 303, 304, 307, 313, 314; Classical static and Western dynamic, 304, 305; Arabian dualism, 305; will and reason, outer world parallels, 308; Western will-culture, egoism, 308-312, 314; and cultural religious concepts, 312, 358; cultural basis of morale, 315; dynamic, and biography, 315, 316; Classical gesture, beauty, 316; and cultural forms of tragedy, 317-326; popularity, cultural basis, 326-329; cultural relation to universe, 330-332; and to discovery, 332-337; and brain, 367. See also Morale; Portraiture; Spirit

Space, and natural morphology, 6, 7; and the become, 56; relation to Classical and Western Cultures, 64, 81-84, 88; world-fear and creative expression, 79-81; multi-dimensional, symbolism, 88, 89, 165; direction and extension, 99, 172; and causality and destiny, 119, 120; awareness, 122; and scientific time, 124, 125; time as counter-concept, 126, 170, 172; and death, 166; world-experience and depth, 168, 169, 172; perception or comprehension, 169-172; cultural symbolism in depth-experience, 173-175; cultural prime symbols, 174-178, 337; Classical use of term, 175n.; cultural basis of concepts, 179, 310; and architectural and religious expression of Culture, 183-188, 198-200; Egyptian and Chinese experiencing, 189-191, 201-203; Western arts and prime phenomenon, 281, 282; extension and reason, 308. See also Become; Causality; Depth-experience; Nature; Time

Notes in this chapter

Note 1 · Kant’s error, an error of very wide bearing which has not even yet been overcome, was first of all in bringing the outer and inner Man into Note 4 · The attempts of the Greeks to frame something like a calendar or a chronology after the Egyptian fashion, besides being very belated indeed,Note 5 · Contrast with this the fact, symbolically of the highest importance and unparalleledunparalleled in art-history, that the Hellenes, though tNote 6 · Is there any Hellenic city that ever carried out one single comprehensive work that tells of care for future generations? The road and waterNote 8 · It was about 1000 A.D. and therefore contemporaneously with the beginning of the Romanesque style and the Crusades—the first symptoms of a nNote 9 · Newton’s choice of the name “fluxions” for his calculus was meant to imply a standpoint towards certain metaphysical notions as to the naturNote 10 · Here the historian is gravely influenced by preconceptions derived from geography, which assumes a Continent of Europe, and feels himself coNote 13 · In the New Testament the polar idea tends to appear in the dialectics of the Apostle Paul, while the periodic is represented by the ApocalypNote 16 · The expression “antique”—meant of course in the dualistic sense—is found as early as the Isagoge of Porphyry (c. 300 A.D.).Note 18 · “Middle Ages” connotes the history of the space-time region in which Latin was the language of the Church and the learned. The mighty courseNote 20 · This is conclusively proved by the selection that determined survival, which was governed not by mere chance but very definitely by a delibeNote 24 · One cannot fail to notice this in the development of Strindberg and especially in that of Ibsen, who was never quite at home in the civilizeNote 25 · Who forbade the cult of the town’s hero Adrastos and the reading of the Homeric poems, with the object of cutting the Doric nobility from itNote 26 · A profound word which obtains its significance as soon as the barbarian becomes a culture-man and loses it again as soon as the civilizationNote 27 · Hence it was that the first to succumb to Christianity were the Romans who could not afford to be Stoics. See Vol. II, pp. 607 et seq.Note 28 · In Rome and Byzantium, lodging-houses of six to ten stories (with street-widths of ten feet at most!) were built without any sort of officiaNote 30 · German gymnastics, from the intensely provincial and natural forms imparted to it by Jahn, has since 1813 been carried by a very rapid develNote 32 · The conquest of Gaul by Cæsar was frankly a colonial, i.e., a one-sided, war; and the fact that it is the highest achievement in the later mNote 3 · The philosophy of this book I owe to the philosophy of Goethe, which is practically unknown to-day, and also (but in a far less degree) to tNote 6 · Dynasties I-VIII, or, effectively, I-VI. The Pyramid period coincides with Dynasties IV-VI. Cheops, Chephren and Mycerinus belong to the IV Note 8 · Poincaré in his Science et Méthode (Ch. III), searchingly analyses the “becoming” of one of his own mathematical discoveries. Each decisive Note 9 · One may be permitted to add that according to legend, both Hippasus who took to himself public credit for the discovery of a sphere of twelvNote 10 · Horace’s words (Odes I xi): “Tu ne quæsieris, scire nefas, quem mihi quem tibi finem di dederint, Leuconoë, nec Babylonios temptaris numerosNote 16 · This, for which the ground had been prepared by Eudoxus, was employed for calculating the volume of pyramids and cones: “the means whereby tNote 21 · Alexandria ceased to be a world-city in the second century A.D. and became a collection of houses left over from the Classical civilization Note 26 · Thus Bishop Berkeley’s Discourse addressed to an infidel mathematician (1735) shrewdly asked whether the mathematician were in a position toNote 32 · The technical difference (in German usage) between Grenz and Grenzwert is in most cases ignored in this translation as it is only the underlNote 33 · “Function, rightly understood, is existence considered as an activity” (Goethe). Cf. Vol. II, p. 618, for functional money.Note 2 · “Anti-historical,” the expression which we apply to a decidedly systematic valuation, is to be carefully distinguished from “ahistorical.” TNote 6 · “All we see before us passing Sign and symbol is alone.” From the final stanza of Faust II (Anster’s translation).—Tr.Note 9 · Not the dissecting morphology of the Darwinian’s pragmatic zoology with its hunt for causal connexions, but the seeing and overseeing morphoNote 13 · St. Bernward was Bishop of Hildesheim from 993 to 1022, and himself architect and metal-worker. Three other churches besides the cathedral sNote 20 · I will only mention here the distances apart of the three Punic Wars, and the series—likewise comprehensible only as rhythmic—Spanish SuccesNote 24 · It is not superfluous to add that there is nothing of the causal kind in these pure phenomena of “Living Nature.” Materialism, in order to gNote 25 · Reigned 246-210 B.C. He styled himself “first universal emperor” and intended a position for himself and his successors akin to that of “DivNote 8 · The Relativity theory, a working hypothesis which is on the way to overthrowing Newton’s mechanics—which means at bottom his view of the proNote 13 · The Newtonian form of the differential calculus was distinct from the Leibnizian, which is now in general use. Without going into unnecessarNote 23 · Phidias, and through him his patron Pericles, were attacked for alleged introduction of portraits upon the shield of Athene Parthenos. In WeNote 24 · Who was criticized as “no god-maker but a man-maker” and as one who spoilt the beauty of his work by aiming at likeness. Cresilas, the sculpNote 30 · Ordered, for us, by the Christian chronology and the ancient-mediæval-modern scheme. It was on those foundations that, from early Gothic timNote 34 · There is one famous episode in Greek history that may be thought to contradict this—the race against time of the galley sent to Mitylene to Note 35 · Besides the clock, the bell itself is a Western “symbol.” The passing-bell tolled for St. Hilda of Whitby in 680, and a century before that Note 36 · May we be permitted to guess that the Babylonian sun-dial and the Egyptian water-clock came into being “simultaneously,” that is, on the thrNote 38 · The Chinese ancestor-worship honoured genealogical order with strict ceremonies. And whereas here ancestor-worship by degrees came to be theNote 39 · With obvious reference to the resurrection of the flesh (ἐκ νεκρῶν). But the meaning of the term “resurrection” has undergone, from about 10Note 40 · For English readers, the most conspicuous case of historic doubt is the Shakespeare-Bacon matter. But even here, it is only the work of ShakNote 41 · Originally a philosophical and scientific lecture-temple founded in honour of Aristotle, and later the great University of Alexandria, bore Note 43 · The Lingayats are one of the chief sects of the Saivas (that is, of the branch of Hinduism which devotes itself to Shiva) and Paewati worshiNote 47 · In connexion with this very important link in the Author’s argument, attention may be drawn to a famous wall-painting of very early date in Note 51 · Vermeintlich. The allusion is presumably to the fact that Copernicus, adhering to the hypothesis of circular orbits, was obliged to retain sNote 54 · The path from Calvin to Darwin is easily seen in English philosophy.Note 55 · This is one of the eternal points of dispute in Western art-theory. The Classical, ahistorical, Euclidean soul has no “evolution”; the WesteNote 56 · “The older one becomes, the more one is persuaded that His Sacred Majesty Chance does three-quarters of the work of this miserable Universe.Note 58 · The incident which is said to have precipitated the French war on Algiers (1827).—Tr.Note 61 · It is the fact that a whole group of these Cultures is available for our study that makes possible the “comparative” method used in the presNote 64 · Helios is only a poetical figure; he had neither temples nor cult. Even less was Selene a moon-goddess.Note 66 · The words of Canning at the beginning of the XIXth century may be recalled. “South America free! and if possible English!” The expansion ideNote 67 · The Western Culture of maturity was through-and-through a French outgrowth of the Spanish, beginning with Louis XIV. But even by Louis XVI’sNote 68 · The allusion is to the voyage of Linois’s small squadron to Pondichéry in 1803, its confrontation by another small British squadron there, aNote 69 · Hardenberg’s reorganization of Prussia was thoroughlythoroughly English in spirit, and as such incurred the severe censure of the old PrussiNote 70 · Where in 295 B.C. the Romans decisively defeated the last great Samnite effort to resist their hegemony over Italy.—Tr.Note 1 · Which, inasmuch as it has been detached from time, is able to employ mathematical symbols. These rigid figures signify for us a destiny of yNote 4 · The formation of hypotheses in Chemistry is much more thoughtless, owing to the less close relation of that science to mathematics. A house Note 6 · Goethe’s theory of colour openly controverted Newton’s theory of light. A long account of the controversy will be found in Chapter IX of G. Note 3 · The word dimension ought only to be used in the singular. It means extension but not extensions. The idea of the three directions is an out-Note 5 · His idea that the a priori-ness of space was proved by and through the unconditional validity of simple geometrical facts rests, as we have Note 9 · It may not be out of place here to refer to the enormous importance attached in savage society to initiation-rites at adolescence.—Tr.Note 10 · Either in Greek or in Latin, τόπος (= locus) means spot, locality, and also social position; χώρα (= spatium) means space-between, distance,Note 11 · It has not hitherto been seen that this fact is implicit in Euclid’s famous parallel axiom (“through a point only one parallel to a straightNote 7 · English readers may remember that Cobbett (“Rural Rides,” passim) was so impressed with the spaciousness of English country churches as to fNote 18 · O. Fischer, Chinesische Landmalerei (1921), p. 24. What makes Chinese—as also Indian—art so difficult a study for us is the fact that all woNote 42 · And, finally, ornament in the highest sense includes script, and with it, the Book, which is the true associate of the cult-building, and asNote 48 · “Mosque of Omar.”—Tr.Note 51 · See Vol. II, pp. 361 et seq. The lack of any vertical tendency in the Russian life-feeling is perceptible also in the saga-figure of Ilya MuNote 52 · The cemetery church of Kishi has 22.Note 54 · The disposition of Egyptian and that of Western history are so clear as to admit of comparison being carried right down into the details, anNote 55 · That which differentiates the Japanese harakiri from this suicide is its intensely purposeful and (so to put it) active and demonstrative chNote 65 · The oldest Christian designs in the Empire of Axum undoubtedly agree with the pagan work of the Sabæans.Note 68 · Kohl & Watzinger, Antike Synagogen in Galilãa (1916). The Baal-shrines in Palmyra, Baalbek and many other localities are basilicas: some of Note 70 · Diez, Die Kunst der islamischen Völker, pp. 8 et seq. In old Sabæan temples the altar-court (mahdar) is in front of the oracle chapel (makanNote 72 · Pliny records that this region was rich in temples. It is probable that the type of the transept-basilica—i.e., with the entrance in one of Note 73 · Neither technically nor in point of space-feeling has this piece of purely interior architecture any connexion whatever with Etruscan round-Note 74 · Probably synagogues of domical type reached these regions, and also Morocco, long before Islam, through the missionary enterprise of MesopotNote 2 · As soon as the word, which is a transmission-agent of the understanding, comes to be used as the expression-agent of an art, the waking consNote 3 · Our pedantic method has given us an art-history that excludes music-history; and while the one has become a normal element of higher educatiNote 5 · See Vol. II, p. 110. The aspect of the streets of Old Egypt may have been very similar to this, if we can draw conclusions from tesseræ discNote 6 · Ghiberti has not outgrown the Gothic, nor has even Donatello; and already in Michelangelo the feeling is Baroque, i.e., musical.Note 8 · Woermann, Geschichte der Kunst, I (1915), p. 236. The first tendency is seen in the Samian Hera of Cheramues and the persistent turning of cNote 9 · Miletus was in a particular relation with Egypt through Naucratis.—Tr.Note 13 · All Greek scales are capable of reduction to “tetrachords” or four-note scales of which the form E—note—note—A is typical. In the diatonic tNote 17 · In Baroque music the word “imitation” means something quite different from this, viz., the exact repetition of a motive in a new colouring (Note 20 · Note that Oresme was a contemporary of Machault and Philippe de Vitry, in whose generation the rules and prohibitions of strict counterpointNote 22 · Even the first great troubadour, Guilhem of Poitiers, though a reigning sovereign, made it his ambition to be regarded as a “professional,” Note 29 · It was not merely national-Italian (for that Italian Gothic was also): it was purely Florentine, and even within Florence the ideal of one cNote 30 · Renaissance ornament is merely embellishment and self-conscious "art"-inventiveness. It is only with the frank and outspoken Baroque that weNote 32 · Inclusive of Paris itself. Even as late as the fifteenth century Flemish was as much spoken there as French, and the architectural appearancNote 36 · Environs of Rome. They date from the late 17th and the mid-18th centuries respectively; the gardens of the V. Ludovisi were laid out by Le NNote 39 · In Classical painting, light and shadow were first consistently employed by Zeuxis, but only for the shading of the thing itself, for the puNote 40 · The brilliant polish of the stone in Egyptian art has a deep symbolic significance of much the same kind. Its effect is to dematerialize theNote 42 · The life and teaching of St. Francis were, morally and æsthetically alike, the centres of inspiration for Cimabue, Giotto and the Italian GoNote 44 · On the following page is a translation of this chorus.—Tr. Raphael. The Sun outsings the brother-spheres in olden rivalry of song, and thundNote 45 · His portrait of Frau Gedon, all steeped in brown, is the last Old-Master portrait of the West; it is painted entirely in the style of the paNote 46 · The strings in the Orchestra represent, as a class, the colours of the distance. The bluish green of Watteau is found already in the NeapoliNote 47 · The use of gold in this way, viz., to add brilliancy to bodies standing freely in the open, has nothing in common with its employment in MagNote 48 · The Chinese also attach enormous importance to the patinas of their old bronzes, which, owing to the different alloys used and the strong chNote 49 · Pausanias, it should be observed, was neither by date nor by origin a Greek.—Tr.Note 50 · “In places, as you stand on it, the great towered and embattled enceinte produces an illusion: it looks as if it were still equipped and defNote 51 · Home, an English philosopher of the 18th Century, declared in a lecture on English parks that Gothic ruins represented the triumph of time oNote 1 · English readers will very likely think of the case of Shaw’s “Back to Methuselah,” with its extreme contrast of the cheaply-satirical presenNote 2 · Of whom one of his mistresses remarked that he “smelt like a carcass” (qu’il puait comme une charogne). Note also how the musician generallyNote 3 · From the solemn canon of Polycletus to the elegance of Lysippus the same process of lightening is going on in the body-build as that which bNote 5 · In other countries, e.g., old Egypt and Japan (to anticipate a particularly foolish and shallow assertion), the sight of naked men was a farNote 14 · In his portrait of Frau Gedon, already alluded to, p. 252.Note 18 · There was indeed a beginning of this in the aristocratic epic of Homer—so nearly akin to the courtly narrative art of Boccaccio. But throughNote 19 · Harmodius and Aristogiton. At Naples. Illustrated in Ency. Brit. XI ed., article Greek Art, fig. 50. Cast in British Museum.—Tr.Note 23 · Even the landscape of the Baroque develops from composed backgrounds to portraits of definite localities, representations of the soul of theNote 29 · By that test Rubens, and, among moderns, especially Feuerbach and Böcklin, lose, while Goya, Daumier, and, in Germany, Oldach, Wasmann, RaysNote 33 · It is the same “noble simplicity and quiet greatness”—to speak in the language of the German Classicists—that produces such an impression ofNote 34 · It has never been sufficiently noticed that the few sculptors who came after Michelangelo had no more than a mere workaday relation with marNote 35 · Although gunpowder is much older than the Baroque, its application in real earnest to long-ranging fire-arms was only accomplished during thNote 41 · Hence the impossibility of achieving a genuinely religious painting on plein-air principles. The world-feeling that underlies it is so thoroNote 3 · Primitive languages afford no foundations for abstract ordered thought. But at the beginning of every Culture an inner change takes place inNote 6 · That is, discussion of the doctrines of the Eleatic school regarding unity and plurality, the Ent and Nonent, focussed themselves, in Zeno, Note 18 · ἐθέλω and βούλομαι imply, to have the intention, or wish, or inclination (βουλή means counsel, council, plan, and ἐθέλω has no equivalent noNote 19 · The Chinese soul “wanders” in its world. This is the meaning of the East-Asiatic perspective, which places the vanishing point in the middleNote 20 · Obviously, atheism is no exception to this. When a Materialist or Darwinian speaks of a “Nature” that orders everything, that effects selectNote 23 · The great part played by learned Jesuits in the development of theoretical physics must not be overlooked. Father Boscovich, with his systemNote 24 · Luther placed practical activity (the day’s demands, as Goethe said) at the very centre of morale, and that is one of the main reasons why iNote 25 · προσῶπον meant in the older Greek “visage,” and later, in Athens, “mask.” As late as Aristotle the word is not yet in use for person. “PersoNote 29 · We too have our anecdote, but it is of our own type and diametrically opposed to the Classical. It is the “short story” (Novelle)—the story Note 33 · The evolution of meaning in the Classical words pathos and passico corresponds with this. The second was formed from the first only in the INote 36 · The dancers were goats, Silenus as leader of the dance wore a horsetail, but Aristophanes’s “Birds,” “Frogs” and “Wasps” suggest that there Note 40 · It must be repeated that the Hellenistic shadow-painting of Zeuxis and Apollodorus is a modelling of the individual body for the purpose of Note 41 · The great mass of Socialists would cease to be Socialists if they could understand the Socialism of the nine or ten men who to-day grasp it Note 46 · The thrill of big figures is a feeling peculiar to Western mankind. In the Civilization of to-day this significant passion for gigantic sumsNote 48 · As early as the second millennium before Christ they worked from Iceland and the North Sea past Finisterre to the Canaries and West Africa. Note 49 · Here there is no need to postulate firearms (as distinct from gunpowder used in fireworks) in the Chinese Culture. The archery of the ChinesNote 1 · In this place it is exclusively with the conscious, religio-philosophical morale—the morale which can be known and taught and followed—that Note 3 · After what has been said above regarding the absence of pregnant words for “will” and “space” in the Classical tongues, the reader will not Note 5 · “He who hath ears to hear, let him hear”—there is no claim to power in these words. But the Western Church never conceived its mission thus.Note 11 · Not only as local sovereigns enforcing order, like the good Bishop Wazo of Liége who fought down his castled robber-barons one by one in theNote 14 · Rousseau’s Contrat Social is paralleled by exactly equivalent productions of Aristotle’s time.Note 15 · The first on the atheistical system of Sankhya, the second (through Socrates) on the Sophists, the third on English sensualism.Note 17 · It was many centuries later that the Buddhist ethic of life gave rise to a religion for simple peasantry, and it was only enabled to do so bNote 21 · To begin with, it would be necessary to specify what Christianity was being compared with it—that of the Fathers or that of the Crusades. FoNote 23 · Note the striking similarity of many Roman portrait-busts to the matter-of-fact modern heads of the American style, and also (though this isNote 33 · Here we are considering only the scholastic side. The mystic side, from which Pythagoras and Leibniz were not very far, reached its culminatNote 4 · E.g., in Boltzmann’s formulation of the Second Law of Thermodynamics: “the logarithm of the probability of a state is proportional to the enNote 10 · For the metals, “mercury” is the principle of substantial character (lustre, tensility, fusibility), “sulphur” that of the attributive generNote 14 · During the Gothic age, in spite of the Spanish Dominican Arnold of Villanova (d. 1311), chemistry had had no sort of creative importance in Note 15 · For even Helmholtz had sought to account for the phenomena of electrolysis by the assumption of an atomic structure of electricity.Note 28 · And it may be asserted that the downright faith that Haeckel, for example, pins to the names atom, matter, energy, is not essentially differNote 37 · Few passages in the Acts of the Apostles have obtained a stronger hold on our imagination than Paul’s meeting with the altar of “the UnknownNote 40 · In Egypt Ptolemy Philadelphus was the first to introduce a ruler-cult. The reverence that had been paid to the Pharaohs was of quite other sNote 44 · Juppiter Dolichenus was a local deity of Doliche in Commagene, whose worship was spread over all parts of the Empire by soldiers recruited fNote 45 · To whom the inhabitants of “Roman” Carthage managed to attach even Dido.—Tr.Note 48 · The symbolic importance of the Title, and its relation to the concept and idea of the Person, cannot here be dealt with. It must suffice to Note 49 · Diagoras, who was condemned to death by the Athenians for his “godless” writings, left behind him deeply pious dithyrambs. Read, too, HebbelNote 2 · As has been shown already, the dynamic structure of our thought was manifested first of all when Western languages changed “feci” to “ego ha
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