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The Romance of Mathematics

[ix] CONTENTS.

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I.Some Remarks on Female Education:

Cambridge Man’s Powers of Application.—Torturing Ingenuity of Examiners.—Slaying an Enemy.—‘Concentration.’—‘Tangential Action.’—‘Gravity’ 1

II.Lecture on the Theory of Brain Waves and the Transmigration and Potentiality of Mental Forces15

III.The Social Properties of a Conic Section, and the Theory of Polemical Mathematics:

‘Circle.’—‘Parabola.’—‘Ellipse.’ ‘Eccentricity of Curves’25

[x] IV.The Social Properties of a Conic Section (continued):

‘Ellipse.’—Most favoured State.—Alarming Result of Suppression of House of Lords.—Analogies of Nature.—Directrix.—Contact of Curves and States.—‘Hyperbola.’—Problems.—Radical Axis and Patriotism.—Extension of Franchise to Women.—Correspondence 39

V.Social Forces, with some Account of Polemical Kinematics:

The Use of Imagination in Scientific Discovery.—Kinetic and Potential Energy.—Social Statics and Dynamics.—Attractive Forces.—Cohesion.—Formation of States.—Inertia.—Dr. Tyndall on Social Forces71

VI.Social Forces (continued): Polemical Statics and Dynamics:

‘Personal Equation.’—Public Opinion, how calculated.—Impulsive Forces.—Friction.—Progress89

[xi] VII.Laws of Political Motion:

M. Auguste Comte on Political Science.—First Law of Motion.—The Biology of Politics.—Stages of Growth and Decay of States.—Doctrine of Nationality.—Doctrine of Independence.—Law of Morality.—Ignorance of Electors and Selfishness of Statesmen opposed to Action of Law.—Final ‘Reign of Law’101

VIII.The Principle of Polemical Cohesion:

Centralization.—Co-operation of States.—Marriage.—Trade Unions.—International Law115

Extracts from the Diary of the Lady Professor125

Conclusion129

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