Chapter XXXII · PHILEBUS.

The Philêbus, which we are now about to examine, is not merely a Dialogue of Search, but a Dialogue of Exposition, accompanied with more or less of search made subservient to the exposition. It represents Sokrates from the first as advancing an affirmative opinion — maintaining it against Philêbus and Protarchus — and closing with a result assumed to be positively established.1

Character, Personages, and Subject of the Philêbus.

The question is, Wherein consists the Good — The Supreme Good — Summum Bonum. Three persons stand before us: the youthful Philêbus: Protarchus, somewhat older, yet still a young man: and Sokrates. Philêbus declares that The Good consists in pleasure or enjoyment; and Protarchus his friend advocates the same thesis, though in a less peremptory manner. On the contrary, Sokrates begins by proclaiming that it consists in wisdom or intelligence. He presently however recedes from this doctrine, so far as to admit that wisdom, alone and per se, is not sufficient to constitute the Supreme Good: and that a certain combination of pleasure along with it is required. Though the compound total thus formed is superior both to wisdom and to pleasure taken separately, yet comparing the two elements of which it is compounded, wisdom (Sokrates contends) is the most important of the two, and pleasure the least important. Neither wisdom nor pleasure can pretend to claim the first prize; but wisdom is fully entitled to the second, as being far more cognate than pleasure is, with the nature of Good.

Protest against the Sokratic Elenchus, and the purely negative procedure.

Such is the general purpose of the dialogue. As to the method of enquiry, Plato not only assigns to Sokrates a distinct affirmative opinion from the beginning, instead of that profession of ignorance which is his more usual characteristic — but he also places in the mouth of Protarchus an explicit protest against the negative cross-examination and Elenchus. “We shall not let you off” (says Protarchus to Sokrates) “until the two sides of this question shall have been so discriminated as to elicit a sufficient conclusion. In meeting us on the present question, pray desist from that ordinary manner of yours — desist from throwing us into embarrassment, and putting interrogations to which we cannot at the moment give suitable answers. We must not be content to close the discussion by finding ourselves in one common puzzle and confusion. If we cannot solve the difficulty, you must solve it for us.”2

Enquiry — What mental condition will ensure to all men a happy life? Good and Happiness — correlative and co-extensive. Philêbus declares for Pleasure, Sokrates for Intelligence.

Conformably to this requisition, Sokrates, while applying his cross-examining negative test to the doctrine of Philêbus, sets against it a counter-doctrine of his own, and prescribes, farther, a positive method of enquiry. “You and I” (he says) “will each try to assign what permanent habit of mind, and what particular mental condition, is calculated to ensure to all men a happy life.”3 Good and Happiness are used in this dialogue as correlative and co-extensive terms. Happiness is that which a man feels when he possesses Good: Good is that which a man must possess in order to feel Happiness. The same fact or condition, looked at objectively, is denominated Good: looked at subjectively, is denominated Happiness.

Good — object of universal choice and attachment by men, animals, and plants — all-sufficient — satisfies all desires.

Is Good identical with pleasure, or with intelligence, or is it a Tertium Quid, distinct from both? Good, or The Good must be perfect and all-sufficient in itself: the object of desire, aspiration, choice, and attachment, by all men, and even by all animals and plants, who are capable of attaining it. Every man who has it, is satisfied, desiring nothing else. If he neglects it, and chooses any thing else, this is contrary to nature: he does so involuntarily, either from ignorance or some other untoward constraint.4 Thus, the characteristic mark of Good or Happiness is, That it is desired, loved, and sought by all, and that, if attained, it satisfies all the wishes and aspirations of human nature.

Pleasures are unlike to each other, and even opposite cognitions are so likewise.

Sokrates then remarks that pleasure is very multifarious and diverse: and that under that same word, different forms and varieties are signified, very unlike to each other, and sometimes even opposite to each other. Thus the intemperate man has his pleasures, while the temperate man enjoys his pleasures also, attached to his own mode of life: so too the simpleton has pleasure in his foolish dreams and hopes, the intelligent man in the exercise of intellectual force. These and many others are varieties of pleasure not resembling, but highly dissimilar, even opposite. — Protarchus replies — That they proceed from dissimilar and opposite circumstances, but that in themselves they are not dissimilar or opposite. Pleasure must be completely similar to pleasure — itself to itself. — So too (rejoins Sokrates) colour is like to colour: in that respect there is no difference between them. But black colour is different from, and even opposite to, white colour.5 You will go wrong if you make things altogether opposite, into one. You may call all pleasures by the name pleasures: but you must not affirm between them any other point of resemblance, nor call them all good. I maintain that some are bad, others good. What common property in all of them, is it, that you signify by the name good? As different pleasures are unlike to each other, so also different cognitions (or modes of intelligence) are unlike to each other; though all of them agree in being cognitions. To this Protarchus accedes.6 — We must enter upon our enquiry after The Good with this mutual concession: That Pleasure, which you affirm to be The Good — and Intelligence, which I declare to be so — is at once both Unum, and Multa et Diversa.7

Whether Pleasure, or Wisdom, corresponds to this description? Appeal to individual choice.

In determining between the two competing doctrines — pleasure on one side and intelligence on the other — Sokrates makes appeal to individual choice. “Would you be satisfied (he asks Protarchus) to live your life through in the enjoyment of the greatest pleasures? Would any one of us be satisfied to live, possessing the fullest measure and variety of intelligence, reason, knowledge, and memory — but having no sense, great or small, either of pleasure or pain?” And Protarchus replies, in reference to the joint life of intelligence and pleasure combined, “Every man will choose this joint life in preference to either of them separately. It is not one man who will choose it, and another who will reject it: but every man will choose it alike.”8

First Question submitted to Protarchus — Intense Pleasure, without any intelligence — He declines to accept it.

The point, which Sokrates submits to the individual judgment of Protarchus, is — “Would you be satisfied to pass your life in the enjoyment of the most intense pleasures, and would you desire nothing farther?” The reply is in the affirmative. “But recollect (adds Sokrates) that you are to have nothing else. The question assumes that you are to be without thought, intelligence, reason, sight, and memory: you are neither to have opinion of present enjoyment, nor remembrance of past, nor anticipation of future: you are to live the life of an oyster, with great present pleasure?” The question being put with these additions, Protarchus alters his view, and replies in the negative: at the same time expressing his surprise at the strangeness of the hypothesis.9

Second Question — Whether he will accept a life of Intelligence purely without any pleasure or pain? Answer — No.

Sokrates now proceeds to ask Protarchus, whether he will accept a life of full and all-comprehensive intelligence purely and simply, without any taste either of pleasure or pain. To which Protarchus answers, that neither he nor any one else would accept such a life.10 Both of them agree that the Summum Bonum ought to be sought neither in pleasure singly, nor in intelligence singly, but in both combined.

It is agreed on both sides, That the Good must be a Tertium Quid. But Sokrates undertakes to show, That Intelligence is more cognate with it than Pleasure.

Difficulties about Unum et Multa. How can the One be Many? How can the Many be One? The difficulties are greatest about Generic Unity — how it is distributed among species and individuals.

Sokrates then undertakes to show, that of these two elements, intelligence is the most efficacious and the most contributory to the Summum Bonum — pleasure the least so. But as a preparation for this enquiry, he adverts to that which has just been agreed between them respecting both Pleasure and Intelligence — That each of them is Unum, and each of them at the same time Multa et Diversa. Here (argues Sokrates) we find opened before us the embarrassing question respecting the One and the Many. Enquirers often ask — “How can the One be Many? How can the Many be One? How can the same thing be both One and Many?” They find it difficult to understand how you, Protarchus, being One person, are called by different names — tall, heavy, white, just, &c.: or how you are affirmed to consist of many different parts and members. To this difficulty, however (says Sokrates), the reply is easy. You, and other particular men, belong to the generated and the perishable. You partake of many different Ideas or Essences, and your partaking of one among them does not exclude you from partaking also of another distinct and even opposite. You partake of the Idea or Essence of Unity — also of Multitude — of tallness, heaviness, whiteness, humanity, greatness, littleness, &c. You are both great and little, heavy and light, &c. In regard to generated and perishable things, we may understand this. But in regard to the ungenerated, imperishable, absolute Essences, the difficulty is more serious. The Self-existent or Universal Man, Bull, Animal — the Self-existent Beautiful, Good — in regard to these Unities or Monads there is room for great controversy. First, Do such unities or monads really and truly exist? Next, assuming that they do exist, how do they come into communion with generated and perishable particulars, infinite in number? Is each of them dispersed and parcelled out among countless individuals? or is it found, whole and entire, in each individual, maintaining itself as one and the same, and yet being parted from itself? Is the Universal Man distributed among all individual men, or is he one and entire in each of them? How is the Universal Beautiful (The Self-Beautiful — Beauty) in all and each beautiful thing? How does this one monad, unchangeable and imperishable, become embodied in a multitude of transitory individuals, each successively generated and perishing? How does this One become Many, or how do these Many become One?11

Active disputes upon this question at the time.

These (says Sokrates) are the really grave difficulties respecting the identity of the One and the Many: difficulties which have occasioned numerous controversies, and are likely to occasion many more. Youthful speculators, especially, are fond of trying their first efforts of dialectical ingenuity in arguing upon this paradox — How the One can be Many, and the Many One.12

Order of Nature — Coalescence of the Finite with the Infinite. The One — The Finite Many — The Infinite Many.

It is a primæval inspiration (he says) granted by the Gods to man along with the fire of Prometheus, and handed down to us as a tradition from that heroic race who were in nearer kindred with the Gods — That all things said to exist are composed of Unity and Multitude, and include in them a natural coalescence of Finiteness and Infinity.13 This is the fundamental order of Nature, which we must assume and proceed upon in our investigations. We shall find everywhere the Form of Unity conjoined with the Form of Infinity. But we must not be satisfied simply to find these two forms. We must look farther for those intermediate Forms which lie between the two. Having found the Form of One, we must next search for the Form of Two, Three, Four, or some definite number: and we must not permit ourselves to acquiesce in the Form of Infinite, until no farther definite number can be detected. In other words, we must not be satisfied with knowing only one comprehensive Genus, and individuals comprised under it. We must distribute the Genus into two, three, or more Species: and each of those Species again into two or more sub-species, each characterised by some specific mark: until no more characteristic marks can be discovered upon which to found the establishment of a distinct species. When we reach this limit, and when we have determined the number of subordinate species which the case presents, nothing remains except the indefinite mass and variety of individuals.14 The whole scheme will thus comprise — The One, the Summum Genus, or Highest Form: The Many, a definite number of Species or sub-Species or subordinate Forms: The Infinite, a countless heap of Individuals.

Mistake commonly made — To look only for the One, and the Infinite Many, without looking for the intermediate subdivisions.

The mistake commonly made (continues Sokrates) by clever men of the present day, is, that they look for nothing beyond the One and the Infinite Many: one comprehensive class, and countless individuals included in it. They take up carelessly any class which strikes them,15 and are satisfied to have got an indefinite number of individuals under one name. But they never seek for intermediate sub-divisions between the two, so as to be able to discriminate one portion of the class from other by some definite mark, and thus to constitute a sub-class. They do not feel the want of such intermediate sub-divisions, nor the necessity of distinguishing one portion of this immense group of individuals from another. Yet it is exactly upon these discriminating marks that the difference turns, between genuine dialectical argument and controversy without result.16

Illustration from Speech and Music.

This general doctrine is illustrated by two particular cases — Speech and Music. The voice (or Vocal Utterance) is One — the voice is also Infinite: to know only thus much is to know very little. Even when you know, in addition to this, the general distinction of sounds into acute and grave, you are still far short of the knowledge of music. You must learn farthermore to distinguish all the intermediate gradations, and specific varieties of sound, into which the infinity of separate sounds admits of being distributed: what and how many these gradations are? what are the numerical ratios upon which they depend — the rhythmical and harmonic systems? When you have learnt to know the One Genus, the infinite diversity of individual sounds, and the number of subordinate specific varieties by which these two extremes are connected with each other — then you know the science of music. So too, in speech: when you can distinguish the infinite diversity of articulate utterance into vowels, semi-vowels, and consonants, each in definite number and with known properties — you are master of grammatical science. You must neither descend at once from the One to the Infinite Multitude, nor ascend at once from the Infinite Multitude to the One: you must pass through the intermediate stages of subordinate Forms, in determinate number. All three together make up scientific knowledge. You cannot know one portion separately, without knowing the remainder: all of them being connected into one by the common bond of the highest Genus.17

Plato’s explanation does not touch the difficulties which he had himself recognised as existing.

Such is the explanation which Plato gives as to the identity of One and Many. Considered as a reply to his own previous doubts and difficulties, it is altogether insufficient. It leaves all those doubts unsolved. The first point of enquiry which he had started, was, Whether any Universal or Generic Monads really existed: the second point was, assuming that they did exist, how each of them, being essentially eternal and unchangeable, could so multiply itself or divide itself as to be at the same time in an infinite variety of particulars.18 Both points are left untouched by the explanation. No proof is furnished that Universal Monads exist — still less that they multiply or divide their one and unchangeable essence among infinite particulars — least of all is it shown, how such multiplication or division can take place, consistently with the fundamental and eternal sameness of the Universal Monad. The explanation assumes these difficulties to be eliminated, but does not suggest the means of eliminating them. The Philêbus, like the Parmenidês, recognises the difficulties as existing, but leaves them unsolved, though the dogmas to which they attach are the cardinal and peculiar tenets of Platonic speculation. Plato shows that he is aware of the embarrassments: yet he is content to theorize as if they did not exist. In a remarkable passage of this very dialogue, he intimates pretty clearly that he considered the difficulty of these questions to be insuperable, and never likely to be set at rest. This identification of the One with the Many, in verbal propositions (he says) has begun with the beginning of dialectic debate, and will continue to the end of it, as a stimulating puzzle which especially captivates the imagination of youth.19

It is nevertheless instructive, in regard to logical division and classification.

But though the difficulties started by Plato remain unexplained, still his manner of stating them is in itself valuable and instructive. It proclaims — 1. The necessity of a systematic classification, or subordinate scale of species and sub-species, between the highest Genus and the group of individuals beneath. 2. That each of these subordinate grades in the scale must be founded upon some characteristic mark. 3. That the number of sub-divisions is definite and assignable, there being a limit beyond which it cannot be carried. 4. That full knowledge is not attainable until we know all three — The highest Genus — The intermediate species and sub-species; both what they are, how many there are, and how each is characterised — The infinite group of individuals. These three elements must all be known in conjunction: we are not to pass either from the first to the third, or from the third to the first, except through the second.

At that time little thought had been bestowed upon classification as a logical process.

The general necessity of systematic classification — of generalisation and specification, or subordination of species and sub-species, as a condition of knowing any extensive group of individuals — requires no advocate at the present day. But it was otherwise in the time of Plato. There existed then no body of knowledge, distributed and classified, to which he could appeal as an example. The illustrations to which he himself refers here, of language and music as systematic arrangements of vocal sounds, were both of them the product of empirical analogy and unconscious growth, involving little of predetermined principle or theory. All the classification then employed was merely that which is included in the structure of language: in the framing of general names, each designating a multitude of individuals. All that men knew of classification was, that which is involved in calling many individuals by the same common name. This is the defect pointed out by Plato, when he remarks that the clever men of his time took no heed except of the One and the Infinite (Genus and Individuals): neglecting all the intermediate distinctions. Upon the knowledge of these media (he says) rests the difference between true dialectic debate, and mere polemic.20 That is — when you have only an infinite multitude of individuals, called by the same generic name, it is not even certain that they have a single property in common: and even if they have, it is not safe to reason from one to another as to the possession of any other property beyond the one generic property — so that the debate ends in mere perplexity. All pleasures agree in being pleasures (Sokrates had before observed to Protarchus), and all cognitions agree in being cognitions. But you cannot from hence infer that there is any other property belonging in common to all.21 That is a point which you cannot determine without farther observation of individuals, and discrimination of the great multitude into appropriate subdivisions. You will thus bring the whole under that triple point of view which Plato requires:— the highest Genus, — the definite number of species and sub-species, — the undefined number of individuals.

Classification — unconscious and conscious.

Here we have set before us one important branch of logical method — the necessity of classification, not simply arising as an incidental and unconscious effect of the transitive employment of a common name, but undertaken consciously and intentionally as a deliberate process, and framed upon principles predetermined as essential to the accomplishment of a scientific end. This was a conception new in the Sokratic age. Plato seized upon it with ardour. He has not only emphatically insisted upon it in the Philêbus and elsewhere, but he has also given (in the Sophistês and Politikus) elaborate examples of systematic logical subdivision applied to given subjects.

Plato’s doctrine about classification is not necessarily connected with his Theory of Ideas.

We may here remark that Plato’s views as to the necessity of systematic classification, or of connecting the Summum Genus with individuals by intermediate stages of gradually decreasing generality — are not necessarily connected with his peculiar theory of Ideas as Self-existent objects, eternal and unchangeable. The two are indeed blended together in his own mind and language: but the one is quite separable from the other; and his remarks on classification are more perspicuous without his theory of Ideas than with it. Classification does not depend upon his hypothesis — That Ideas are not simply Concepts of the Reason, but absolute existences apart from the Reason (Entia Rationis apart from the Ratio) — and that these Ideas correspond to the words Unum, Multa definité, Multa indefinité, which are put together to compose the totality of what we see and feel in the Kosmos.

Applying this general doctrine (about the necessity of establishing subordinate classes as intermediate between the Genus and Individuals) to the particular subject debated between Sokrates and Protarchus — the next step in the procedure would naturally be, to distinguish the subordinate classes comprised first under the Genus Pleasure — next, under the Genus Intelligence (or Cognition). And so indeed the dialogue seems to promise22 in tolerably explicit terms.

Quadruple distribution of Existences. 1. The Infinite. 2. The Finient 3. Product of the two former. 4. Combining Cause or Agency.

But such promise is not realised. The dialogue takes a different turn, and recurs to the general distinction already brought to view between the Finient (Determinans) and the Infinite (Indeterminatum). We have it laid down that all existences in the universe are divided into four Genera: 1. The Infinite or Indeterminate. 2. The Finient or the Determinans. 3. The product of these two, mixed or compounded together Determinatum. 4. The Cause or Agency whereby they become mixed together. — Of these four, the first is a Genus, or is both One and Many, having numerous varieties, all agreeing in the possession of a perpetual More and Less (without any limit or positive quantity): that which is perpetually increasing or diminishing, more or less hot, cold, moist, great, &c., than any given positive standard. The second, or the Determinans, is also a Genus, or One and Many: including equal, double, triple, and all fixed ratios.23

The third Genus is laid down by Plato as generated by a mixture or combination of these two first — the Infinite and the Determinans. The varieties of this third or compound Genus comprise all that is good and desirable in nature — health, strength, beauty, virtue, fine weather, good temperature:24 all agreeing, each in its respective sphere, in presenting a right measure or proportion as opposed to excess or deficiency.

Fourthly, Plato assumes a distinct element of causal agency which operates such mixture of the Determinans with the Infinite, or banishment and supersession of the latter by the former.

Pleasure and Pain belong to the first of these four Classes — Cognition or Intelligence belongs to the fourth.

We now approach the application of these generalities to the question in hand — the comparative estimate of pleasure and intelligence in reference to Good. It has been granted that neither of them separately is sufficient, and that both must be combined to compose the result Good: but the question remains, which of the two elements is the most important in the compound? To which of the four above-mentioned Genera (says Sokrates) does Pleasure belong? It belongs to the Infinite or Indeterminate: so also does Pain. To which of the four does Intelligence or Cognition belong? It belongs to the fourth, or to the nature of Cause, the productive agency whereby definite combinations are brought about.25

In the combination, essential to Good, of Intelligence with Pleasure, Intelligence is the more important of the two constituents.

Hence we see (Sokrates argues) that pleasure is a less important element than Intelligence, in the compound called Good. For pleasure belongs to the Infinite: but pain belongs to the Infinite also: the Infinite therefore, being common to both, cannot be the circumstance which imparts to pleasures their affinity with Good: they must derive that affinity from some one of the other elements.26 It is Intelligence which imparts to pleasures their affinity with Good: for Intelligence belongs to the more efficacious Genus called Cause. In the combination of Intelligence with Pleasure, indispensable to constitute Good, Intelligence is the primary element, Pleasure only the secondary element. Intelligence or Reason is the ruling cause which pervades and directs both the smaller body called Man, and the greater body called the Kosmos. The body of man consists of a combination of the four elements, Earth, Water, Air, and Fire: deriving its supply of all these elements from the vast stock of them which constitutes the Kosmos. So too the mind of man, with its limited reason and intelligence, is derived from the vast stock of mind, reason, and intelligence, diffused throughout the Kosmos, and governing its great elemental body. The Kosmos is animated and intelligent, having body and mind like man, but in far higher measure and perfection. It is from this source alone that man can derive his supply of mind and intelligence.27

Intelligence is the regulating principle — Pleasure is the Indeterminate, requiring to be regulated.

Sokrates thus arrives at the conclusion, that in the combination constituting Good, Reason or Intelligence is the regulating principle: and that Pleasure is the Infinite or Indeterminate which requires regulation from without, having no fixed measure or regulating power in itself.28 He now proceeds to investigate pleasure and intelligence as phenomena: to enquire in what each of them resides, and through what affection they are generated.29

Pleasure and Pain must be explained together — Pain arises from the disturbance of the fundamental harmony of the system — Pleasure from the restoration.

We cannot investigate pleasure (Sokrates continues) apart from pain: both must be studied together. Both pleasure and pain reside in the third out of the four above-mentioned Genera:30 that is, in the compound Genus formed out of that union (of the Infinite with the Determinans or Finient) which includes all animated bodies. Health and Harmony reside in these animated bodies: and pleasure as well as pain proceed from modifications of such fundamental harmony. When the fundamental harmony is disturbed or dissolved, pain is the consequence: when the disturbance is rectified and the harmony restored, pleasure ensues.31 Thus hunger, thirst, extreme heat and cold, are painful, because they break up the fundamental harmony of animal nature: while eating, drinking, cooling under extreme heat, or warming under extreme cold, are pleasurable, because they restore the disturbed harmony.

Pleasure presupposes Pain.

This is the primary conception, or original class, of pleasures and pains, embracing body and mind in one and the same fact. Pleasure cannot be had without antecedent pain: it is in fact a mere reaction against pain, or a restoration from pain.

Derivative pleasures of memory and expectation belonging to mind alone. Here you may find pleasure without pain.

But there is another class of pleasures, secondary and derivative from these, and belonging to the mind alone without the body. The expectation of future pleasures is itself pleasurable,32 the expectation of future pains is itself painful. In this secondary class we find pleasure without pain, and pain without pleasure: so that we shall be better able to study pleasure by itself, and to decide whether the whole class, in all its varieties, be good, welcome and desirable, — or whether pleasure and pain be not, like heat and cold, desirable or undesirable according to circumstances — i.e. not good in their own nature, but sometimes good and sometimes not.33

A life of Intelligence alone, without pain and without pleasure, is conceivable. Some may prefer it: at any rate it is second-best.

In the definition above given of the conditions of pleasure, as a re-action from antecedent pain, it is implied that if there be no pain, there can be no pleasure: and that a state of life is therefore conceivable which shall be without both — without pain and without pleasure. The man who embraces wisdom may prefer this third mode of life. It would be the most divine and the most akin to the nature of the Gods, who cannot be supposed without indecency to feel either joy or sorrow.34 At any rate, if not the best life of all, it will be the second-best.

Desire belongs to the mind, presupposes both a bodily want, and the memory of satisfaction previously had for it. The mind and body are here opposed. No true or pure pleasure therein.

Those pleasures, which reside in the mind alone without the body, arise through memory and by means of reminiscence. When the body receives a shock which does not go through to the mind, we call the fact insensibility. In sensation, the body and mind are both affected:35 such sensation is treasured up in the memory, and the mental part of it is recalled (without the bodily part) by reminiscence.36 Memory and reminiscence are the foundations of desire or appetite. When the body suffers the pain of hunger or thirst, the mind recollects previous moments of satisfaction, desires a repetition of that satisfaction by means of food or drink. Here the body and the mind are not moved in the same way, but in two opposite ways: the desire belongs to the mind alone, and is turned towards something directly opposed to the affection of the body. That which the body feels is emptiness: that which the mind feels is desire of replenishment, or of the condition opposed to emptiness. But it is only after experience of replenishment that the mind will feel such desire. On the first occasion of emptiness, it will not desire replenishment, because it will have nothing, neither sensation nor memory, through which to touch replenishment: it can only do so after replenishment has been previously enjoyed, and through the memory. Desire therefore is a state of the mind apart from the body, resting upon memory.37 Here then the man is in a double state: the pain of emptiness, which affects the mind through the body, and the memory of past replenishment, or expectation of future replenishment, which resides in the mind. Such expectation, if certain and immediate, will be a state of pleasure: if doubtful and distant, it will be a state of pain. The state of emptiness and consequent appetite must be, at the very best, a state of mixed pain and pleasure: and it may perhaps be a state of pain only, under two distinct forms.38 Life composed of a succession of these states can afford no true or pure pleasure.

Can pleasures be true or false? Sokrates maintains that they are so.

What do you mean (asks Protarchus) by true pleasures or pains? How can pleasures or pains be either true or false? Opinions and expectations may be true or false; but not pleasures, nor pains.

That is an important question (replies Sokrates), which we must carefully examine. If opinions may be false or true, surely pleasures may be so likewise. When a man holds an opinion, there is always some Object of his opinion, whether he thinks truly or falsely: so also when a man takes delight, there must always be some Object in which he takes delight, truly or falsely. Pleasure and pain, as well as opinion, are susceptible of various attributes; vehement or moderate, right or wrong, bad or good. Delight sometimes comes to us along with a false opinion, sometimes along with a true one.

Yes (replies Protarchus), but we then call the opinion true or false — not the pleasure.39

Reasons given by Sokrates. Pleasures attached to true opinions, are true pleasures. The just man is favoured by the Gods, and will have true visions sent to him.

You will not deny (says Sokrates) that there is a difference between the pleasure accompanying a true opinion, and that which accompanies a false opinion. Wherein does the difference consist? Our opinions, and our comparisons of opinion, arise from sensation and memory:40 which write words and impress images upon our mind (as upon a book or canvas), sometimes truly, sometimes falsely,41 not only respecting the past and present, but also respecting the future. To these opinions respecting the future are attached the pleasures and pains of expectation, which we have already recognised as belonging to the mind alone, — anticipations of bodily pleasures or pains to come — hopes and fears. As our opinions respecting the future are sometimes true, sometimes false, so also are our hopes and fears: but throughout our lives we are always full of hopes and fears.42 Now the just and good man, being a favourite of the Gods, will have these visions or anticipations of the future presented to him truly and accurately: the bad man on the contrary will have them presented to him falsely. The pleasures of anticipation will be true to the former, and false to the latter:43 his false pleasures will be a ludicrous parody on the true ones.44 Good or bad opinions are identical with true or false opinions: so also are good or bad pleasures, identical with true or false pleasures: there is no other ground for their being good or bad.

Protarchus disputes this — He thinks that there are some pleasures bad, but none false — Sokrates does not admit this, but reserves the question.

I admit this identity (remarks Protarchus) in regard to opinions, but not in regard to pleasures. I think there are other grounds, and stronger grounds, for pronouncing pleasures to be bad — independently of their being false. We will reserve that question (says Sokrates) for the present — whether there are or are not pleasures bad on other grounds.45 I am now endeavouring to show that there are some pleasures which are false: and I proceed to another way of viewing the subject.

No means of truly estimating pleasures and pains — False estimate habitual — These are the false pleasures.

We agreed before that the state, called Appetite or Desire, was a mixed state comprehending body and mind: the state of body affecting the mind with a pain of emptiness, — the state of mind apart from body being either a pleasure of expected replenishment, or a pain arising from our regarding replenishment as distant or unattainable. Appetite or Desire, therefore, is sometimes mixed pleasure and pain; both, of the genus Infinite, Indeterminate. We desire to compare these pleasures and pains, and to value their magnitude in relation to each other, but we have no means of performing the process. We not only cannot perform it well, but we are sure to perform it wrongly. For future pleasure or pain counts for more or less in our comparison, according to its proximity or distance. Here then is a constant source of false computation: pleasures and pains counted as greater or less than they really are: in other words, false pleasures and pains. We thus see that pleasures may be true or false, no less than opinions.46

Much of what is called pleasure is false. Gentle and gradual changes do not force themselves upon our notice either as pleasure or pain. Absence of pain not the same as pleasure.

We have also other ways of proving the point that much of what is called pleasure is false and unreal47 — either no pleasure at all, or pleasure mingled and alloyed with pain and relief from pain. According to our previous definition of pain and pleasure — that pain arises from derangement of the harmony of our nature, and pleasure from the correction of such derangement, or from the re-establishment of harmony — there may be and are states which are neither painful nor pleasurable. Doubtless the body never remains the same: it is always undergoing change: but the gentle and gradual changes (such as growth, &c.) escape our consciousness, producing neither pain nor pleasure: none but the marked, sudden changes force themselves upon our consciousness, thus producing pain and pleasure.48 A life of gentle changes would be a life without pain as well as without pleasure. There are thus three states of life49 — painful — pleasurable — neither painful nor pleasurable. But no pain (absence of pain) is not identical with pleasure: it is a third and distinct state.50

Opinion of the pleasure-hating philosophers — That pleasure is no reality, but a mere juggle — no reality except pain, and the relief from pain.

Now there are some philosophers who confound this distinction:51 Philosophers respectable, but stern, who hate the very name of pleasure, deny its existence as a separate state per se, and maintain it to be nothing more than relief from pain: implying therefore, perpetually and inevitably, the conjunction or antecedence of pain. They consider the seduction of pleasure in prospect to be a mere juggle — a promise never realised. Often the expected moment brings no pleasure at all: and even when it does, there are constant accompaniments of pain, which always greatly impair, often countervail, sometimes far more than countervail, its effect. Pain is regarded by them as the evil — removal or mitigation of pain as the good — of human life.

Sokrates agrees with them in part, but not wholly.

These philosophers (continues Sokrates) are like prophets who speak truth from the stimulus of internal temperament, without any rational comprehension of it. Their theory is partially true, but not universally.52 It is true of a large portion of what are called pleasures, but it is not true of all pleasures. Most pleasures (indeed all the more vehement and coveted pleasures), correspond to the description given in the theory. The moment when the supposed intense pleasure arrives, is a disappointment of the antecedent hopes, either by not bringing the pleasure promised, or by bringing it along with a preponderant dose of pain. But there are some pleasures of which this cannot be said — which are really true and unmixed with pain. Which these are (continues Sokrates), I will presently explain: but I shall first state the case of the pleasure-hating philosophers, so far as I go along with it.

Theory of the pleasure-haters — We must learn what pleasure is by looking at the intense pleasures — These are connected with distempered body and mind.

When we are studying any property (they say), we ought to examine especially those cases in which it appears most fully and prominently developed: thus, if we are enquiring into hardness, we must take for our first objects of investigation the hardest things, in preference to those which are less hard or scarcely hard at all.53 So in enquiring into pleasure generally, we must investigate first the pleasures of extreme intensity and vehemence. Now the most intense pleasures are enjoyed not in a healthy state of body, but on the contrary under circumstances of distemper and disorder: because they are then preceded by the most violent wants and desires. The sick man under fever suffers greater thirst and cold than when he is in health, but in the satisfaction of those wants, his pleasure is proportionally more intense. Again when he suffers from the itch or an inflamed state of body, the pleasure of rubbing or scratching is more intense than if he had no such disorder.54 The most vehement bodily pleasures can only be enjoyed under condition of being preceded or attended by pains greater or less as the case may be. The condition is not one of pure pleasure, but mixed between pain and pleasure. Sometimes the pain preponderates, sometimes the pleasure: if the latter, then most men, forgetting the accompanying pain, look upon these transient moments as the summit of happiness.55 In like manner the violent and insane man, under the stimulus of furious passions and desires, experiences more intense gratifications than persons of sober disposition: his condition is a mixed one, of great pains and great pleasures. The like is true of all the vehement passions — love, hatred, revenge, anger, jealousy, envy, fear, sorrow, &c.: all of them embody pleasures mixed with pain, and the magnitude of the pleasure is proportioned to that of the accompanying pain.56

The intense pleasures belong to a state of sickness; but there is more pleasure, on the whole, enjoyed in a state of health.

Recollect (observes Sokrates) that the question here is not whether more pleasure is enjoyed, on the whole, in a state of health than in a state of sickness — by violent rather than by sober men. The question is, about the intense modes of pleasure. Respecting these, I have endeavoured to show that they belong to a distempered, rather than to a healthy, state both of state of body and mind:— and that they cannot be enjoyed pure, without a countervailing or preponderant accompaniment of pain.57 This is equally true, whether they be pleasures of body alone, of mind alone, or of body and mind together. They are false and delusive pleasures: in fact, they are pleasures only in seeming, but not in truth and reality. To-morrow I will give you fuller proofs on the subject.58

Sokrates acknowledges some pleasures to be true. Pleasures of beautiful colours, odours, sounds, smells, &c. Pleasures of acquiring knowledge.

Thus far (continues Sokrates) I have set forth the case on behalf of the pleasure-haters. Though I deny their full doctrine, — that there is no pleasure except cessation from pain — I nevertheless agree with them and cite them as witnesses on my behalf, to the extent of affirming that a large proportion of our so-called pleasures, and those precisely the most intense, are false and unreal: being poisoned and drenched in accompaniments of pain.59 But there are some pleasures, true, genuine, and untainted. Such are those produced by beautiful colours and figures — by many odours — by various sounds: none of which are preceded by any painful want requiring to be satisfied. The sensation when it comes is therefore one of pure and unmixed pleasure. The figures here meant are the perfect triangle, cube, circle, &c.: the colours and sounds are such as are clear and simple. All these are beautiful and pleasurable absolutely and in themselves — not simply in relation to (or relatively to) some special antecedent condition. Smells too, though less divine than the others, are in common with them unalloyed by accompanying pain.60 To these must be added the pleasure of acquiring knowledge, which supposes neither any painful want before it, nor any subsequent pain even if the knowledge acquired be lost. This too is one of the unmixed or pure pleasures; though it is not attainable by most men, but only by a select few.61

Pure and moderate pleasures admit of measure and proportion.

Having thus distinguished the pure and moderate class of pleasures, from the mixed and vehement — we may remark that the former class admit of measure and proportion, while the latter belong to the immeasurable and the infinite. Moreover, look where we will, we shall find truth on the side of the select, small, unmixed specimens — rather than among the large and mixed masses. A small patch of white colour, free from all trace of any other colour, is truer, purer, and more beautiful, than a large mass of clouded and troubled white. In like manner, gentle pleasure, free from all pain, is more pleasurable, truer, and more beautiful, than intense pleasure coupled with pain.62

Pleasure is generation, not substance or essence: it cannot therefore be an End, because all generation is only a means towards substance — Pleasure therefore cannot be the Good.

There are yet other arguments remaining (continues Sokrates) which show that pleasure cannot be the Summum Bonum. If it be so, it must be an End, not a Means: it must be something for the sake of which other things exist or are done — not something which itself exists or is done for the sake of something else. But pleasure is not an End: it is essentially a means, as we may infer from the reasonings of its own advocates. They themselves tell us that it is generation, not substance:— essentially a process of transition or change, never attaining essence or permanence.63 But generation or transition is always for the sake of the thing to be generated, or for Substance — not substance for the sake of generation: the transitory serves as a road to the permanent, not vice versà. Pleasure is thus a means, not an End. It cannot therefore partake of the essential nature and dignity of Good: it belongs to a subordinate and imperfect category.64

Other reasons why pleasure is not the Good.

Indeed we cannot reasonably admit that there is no Good in bodies and in the universe generally, nor anywhere except in the mind:— nor that, within the mind, pleasure alone is good, while courage, temperance, &c., are not good:— nor that a man is good only while he is enjoying pleasure, and bad while suffering pain, whatever may be his character and merits.65

Distinction and classification of the varieties of Knowledge or Intelligence. Some are more true and exact than others, according as they admit more or less of measuring and computation.

Having thus (continues Sokrates) gone through the analysis of pleasures, distinguishing such as are true and pure, from such as are false and troubled — we must apply the like distinctive analysis to the various modes of knowledge and intelligence. Which varieties of knowledge, science, or art, are the purest from heterogeneous elements, and bear most closely upon truth? Some sciences and arts (we know) are intended for special professional practice: others are taught as subjects for improving the intellect of youth. As specimens of the former variety, we may notice music, medicine, husbandry, navigation, generalship, joinery, ship-building, &c. Now in all these, the guiding and directing elements are computation, mensuration, and statics — the sciences or arts of computing, measuring, weighing. Take away these three — and little would be left worth having, in any of the sciences or arts before named. There would be no exact assignable rules, no definite proportions: everything would be left to vague conjecture, depending upon each artisan’s knack and practice which some erroneously call Art. In proportion as each of these professional occupations has in it more or less of computation and mensuration, in the same proportion is it exact and true. There is little of computation or mensuration in music, medicine, husbandry, &c.: there is more of them in joinery and ship-building, which employ the line, plummet, and other instruments: accordingly these latter are more true and exact, less dependent upon knack and conjecture, than the three former.66 They approach nearer to the purity of science, and include less of the non-scientific, variable, conjectural, elements.

Arithmetic and Geometry are twofold: As studied by the philosopher and teacher: As applied by the artisan.

But a farther distinction must here be taken (Sokrates goes on). Even in such practical arts as ship-building, which include most of computation and mensuration — these two latter do not appear pure, but diversified and embodied in a multitude of variable particulars. Arithmetic and geometry, as applied by the ship-builder and other practical men, are very different from arithmetic and geometry as studied and taught by the philosopher.67 Though called by the same name, they are very different; and the latter alone are pure and true. The philosopher assumes in his arithmetic the exact equality of all units, and in his geometry the exact ratios of lines and spaces: the practical man adds together units very unlike each other — two armies, two bulls, things little or great as the case may be: his measurement too, always falls short of accuracy.68 There are in short two arithmetics and two geometries69 — very different from each other, though bearing a common name.

Dialectic is the truest and purest of all Cognitions. Analogy between Cognition and Pleasure: in each, there are gradations of truth and purity.

We thus make out (continues Sokrates) that there is a difference between one variety and another variety of science or knowledge, analogous to that which we have traced between the varieties of pleasure. One pleasure is true and pure; another is not so, or is inseparably connected with pain and non-pleasurable elements — there being in each case a difference in degree. So too one variety of science, cognition, or art, is more true and pure than another: that is, it is less intermingled with fluctuating particulars and indefinite accompaniments. A science, bearing one and the same name, is different according as it is handled by the practical man or by the philosopher. Only as handled by the philosopher, does science attain purity: dealing with eternal and invariable essences. Among all sciences, Dialectic is the truest and purest, because it takes comprehensive cognizance of the eternal and invariable — Ens semper Idem — presiding over those subordinate sciences which bear upon the like matter in partial and separate departments.70

Difference with Gorgias, who claims superiority for Rhetoric. Sokrates admits that Rhetoric is superior in usefulness and celebrity: but he claims superiority for Dialectic, as satisfying the lover of truth.

Your opinion (remarks Protarchus) does not agree with that of Gorgias. He affirms, that the power of persuasion (Rhetoric) is the greatest and best of all arts: inasmuch as it enables us to carry all our points, not by force, but with the free will and consent of others. I should be glad to avoid contradicting either him or you.

There is no real contradiction between us (replies Sokrates). You may concede to Gorgias that his art or cognition is the greatest and best of all — the most in repute, as well as the most useful to mankind. I do not claim any superiority of that kind, on behalf of my cognition.71 I claim for it superiority in truth and purity. I remarked before, that a small patch of unmixed white colour was superior in truth and purity to a large mass of white tarnished with other colours — a gentle and unmixed pleasure, in like manner, to one that is more intense but alloyed with pains. It is this superiority that I assert for Dialectic and the other sister cognitions. They are of little positive advantage to mankind: yet they, and only they, will satisfy both the demands of intelligence, and the impulse within us, in so far as we have an impulse to love and strain after truth.72

As far as straining after truth is concerned (says Protarchus), Dialectic and the kindred sciences have an incontestable superiority.

Most men look to opinions only, or study the phenomenal manifestations of the Kosmos. They neglect the unchangeable essences, respecting which alone pure truth can be obtained.

You must see (rejoins Sokrates) that Rhetoric, and most other arts or sciences, employ all their study, and seek all their standard, in opinions alone: while of those who study Nature, the greater number confine their investigations to this Kosmos, to its generation and its phenomenal operations — its manifestations past, present, and future.73 Now all these manifestations are in perpetual flux, admitting of no true or certain cognition. Pure truth, corresponding to those highest mental endowments, Reason and Intelligence — can be found only in essences, eternal and unchangeable, or in matters most akin to them.74

Application. Neither Intelligence nor Pleasure separately, is the Good, but a mixture of the two — Intelligence being the most important. How are they to be mixed?

We have now (continues Sokrates) examined pleasure separately and intelligence separately. We have agreed that neither of them, apart and by itself, comes up to the conception of Good; the attribute of which is, to be all sufficient, and to give plenary satisfaction, so that any animal possessing it desires nothing besides.75 We must therefore seek Good in a certain mixture or combination of the two — Pleasure and Intelligence: and we must determine, what sort of combination of these two contains the Good we seek. Now, to mix all pleasures, with all cognitions, at once and indiscriminately, will hardly be safe. We will first mix the truest and purest pleasures (those which include pleasure in its purest form), with the truest or purest cognitions (those which deal altogether with eternal and unchangeable essence, not with fluctuating particulars). Will such a combination suffice to constitute Good, or an all-sufficient and all-satisfactory existence? Or do we want anything more besides?76 Suppose a man cognizant of the Form or Idea of Justice, and of all other essential Ideas: and able to render account of his cognition, in proper words: Will this be sufficient?77 Suppose him to be cognizant of the divine Ideas of Circle, Sphere, and other figures; and to employ them in architecture, not knowing anything of human circles and figures as they exist in practical life?78

We must include all Cognitions, not merely the truest, but the others also. Life cannot be carried on without both.

That would be a ludicrous position indeed (remarks Protarchus), to have his mind full of the divine Ideas or cognitions only.

What! (replies Sokrates) must he have cognition not only of the true line and circle, but also of the false, the variable, the uncertain?

Certainly (says Protarchus), we all must have this farther cognition, if we are to find our way from hence to our own homes.79

Must we then admit (says Sokrates) those cognitions also in music, which we declared to be full of conjecture and imitation, without any pure truth or certainty?

We must admit them (says Protarchus), if life is to be worth anything at all. No harm can come from admitting all the other cognitions, provided a man possesses the first and most perfect.

But we must include no pleasures except the true, pure, and necessary. The others are not compatible with Cognition or Intelligence — especially the intense sexual pleasures.

Well then (continues Sokrates), we will admit them all. We have now to consider whether we can in like manner admit all pleasures without distinction. The true and pure must first be let in: next, such as are necessary and indispensable: and all the rest also, if any one can show that there is advantage without mischief in our enjoying every variety of pleasure.80 We must put the question first to pleasures, next to cognitions — whether they can consent respectively to live in company with each other. Now pleasures will readily consent to the companionship of cognitions: but cognitions (or Reason, upon whom they depend) will not tolerate the companionship of all pleasures indiscriminately. Reason will welcome the true and pure pleasures: she will also accept such as are indispensable, and such as consist with health, and with a sober and virtuous disposition. But Reason will not tolerate those most intense, violent, insane, pleasures, which extinguish correct memory, disturb sound reflection, and consist only with folly and bad conduct. Excluding these violent pleasures, but retaining the others in company with Reason and Truth — we shall secure that perfect and harmonious mixture which makes the nearest approximation to Good.81

What causes the excellence of this mixture? It is Measure, Proportion, Symmetry. To these Reason is more akin than Pleasure.

This mixture as Good (continues Sokrates) will be acceptable to all.82 But what is the cause that it is so? and is that cause more akin to Reason or to Pleasure? The answer is, that this mixture and combination, like every other that is excellent, derives its excellence from Measure and Proportion. Thus the Good becomes merged in the Beautiful: for measure and proportion (Moderation and Symmetry) constitute in every case beauty and excellence.83 In this case, Truth has been recognised as a third element of the mixture: the three together coalesce into Good, forming a Quasi-Unum, which serves instead of a Real Unum or Idea of Good.84 We must examine these three elements separately — Truth — Moderation — Symmetry (Measure — Proportion) to find whether each of them is most akin to Reason or to Pleasure. There can be no doubt that to all the three, Reason is more akin than Pleasure: and that the intense pleasures are in strong repugnance and antipathy to all the three.85

Quintuple gradation in the Constituents of the Good. 1. Measure. 2. Symmetry. 3. Intelligence. 4. Practical Arts and Right Opinions. 5. True and Pure Pleasures.

We thus see (says Sokrates in conclusion), in reference to the debate with Philêbus, that Pleasure stands neither first nor second in the scale of approximation to Good. First comes Measure — the Moderate — the Seasonable — and all those eternal Forms and Ideas which are analogous to these.86 Secondly, come the Symmetrical — the Beautiful — the Perfect — the Sufficient — and other such like Forms and Ideas.87 Thirdly, come Reason and Intelligence. Fourthly, the various sciences, cognitions, arts, and right opinions — acquirements embodied in the mind itself. Fifthly, those pleasures which we have discriminated as pure pleasures without admixture of pain; belonging to the mind itself but consequent on the sensations of sight, hearing, smell.88

It is not necessary to trace the descending scale farther. It has been shown, against Philêbus — That though neither Intelligence separately, nor Pleasure separately, is an adequate embodiment of Good, which requires both of them conjointly — yet Intelligence is more akin to Good, and stands nearer to it in nature, than Pleasure.

Dionysius of Halikarnassus, while blaming the highflown metaphor and poetry of the Phædrus and other Platonic dialogues, speaks with great admiration of Plato in his appropriate walk of the Sokratic dialogues; and selects specially the Philêbus, as his example of these latter. I confess that this selection surprises me: for the Philêbus, while it explicitly renounces the peculiar Sokratic vein, and becomes didactic — cannot be said to possess high merit as a didactic composition. It is neither clear, nor orderly, nor comparable in animation to the expository books of the Republic.89 Every commentator of Plato, from Galen downwards, has complained of the obscurity of the Philêbus.

Remarks. Sokrates does not claim for Good the unity of an Idea, but a quasi-unity of analogy.

Sokrates concludes his task, in the debate with Protarchus, by describing Bonum or the Supreme Good as a complex aggregate of five distinct elements, in a graduated scale of affinity to it and contributing to its composition in a greater or less degree according to the order in which they are placed. Plato does not intimate that these five complete the catalogue; but that after the fifth degree, the affinity becomes too feeble to deserve notice.90 According to this view, no Idea of Good, in the strict Platonic sense, is affirmed. Good has not the complete unity of an Idea, but only the quasi-unity of analogy between its diverse elements; which are attached by different threads to the same root, with an order of priority and posteriority.91

Discussions of the time about Bonum. Extreme absolute view, maintained by Eukleides: extreme relative by the Xenophontic Sokrates. Plato here blends the two in part; an Eclectic doctrine.

In the discussions about Bonum, there existed among the contemporaries of Plato a great divergence of opinions. Eukleides of Megara represents the extreme absolute, ontological, or objective view: Sokrates (I mean the historical Sokrates, as reported by Xenophon) enunciated very distinctly the relative or subjective view. “Good (said Eukleides) is the One: the only real, eternal, omnipresent Ens — always the same or like itself — called sometimes Good, sometimes Intelligence, and by various other names: the opposite of Good has no real existence, but only a temporary, phenomenal, relative, existence.” On the other hand, the Xenophontic Sokrates affirmed — “The Good and The Beautiful have no objective unity at all; they include a variety of items altogether dissimilar to each other, yet each having reference to some human want or desire: sometimes relieving or preventing pain, sometimes conferring pleasure. That which neither contributes to relieve any pain or want, nor to confer pleasure, is not Good at all.”92 In the Philêbus, Plato borrows in part from both of these points of view, though inclining much more to the first than to the last. He produces a new eclectic doctrine, comprising something from both, and intended to harmonise both; announced as applying at once to Man, to Animals, to Plants, and to the Universe.93

Inconvenience of his method, blending Ontology with Ethics.

Unfortunately, the result has not corresponded to his intentions. If we turn to the close of the dialogue, we find that the principal elements which he assigns as explanatory of Good, and the relation in which they stand to each other, stand as much in need of explanation as Good itself. If we follow the course of the dialogue, we are frequently embarrassed by the language, because he is seeking for phrases applicable at once to the Kosmos and to Man: or because he passes from one to the other, under the assumption of real analogy between them. The extreme generalities of Logic or Ontology, upon which Sokrates here dwells — the Determinant and Indeterminate, the Cause, &c. — do not conduct us to the attainment of Good as he himself defines it — That which is desired by, and will give full satisfaction to, all men, animals, and plants. The fault appears to me to lie in the very scheme of the dialogue. Attempts to discuss Ontology and Ethics in one and the same piece of reasoning, instead of elucidating both, only serve to darken both. Aristotle has already made a similar remark: and it is after reading the Philêbus that we feel most distinctly the value of his comments on Plato in the first book of the Nikomachean Ethics. Aristotle has discussed Ontology in the Metaphysica and in other treatises: but he proclaims explicitly the necessity of discussing Ethics upon their own principles: looking at what is good for man, and what is attainable by man.94 We find in the Philêbus many just reflections upon pleasure and its varieties: but these might have been better and more clearly established, without any appeal to the cosmical dogmas. The parallelism between Man and the Kosmos is overstrained and inconclusive, like the parallelism in the Republic between the collective commonwealth and the individual citizen.

Comparison of Man to the Kosmos, which has reason, but no emotion, is unnecessary and confusing.

Moreover, when Plato, to prove the conclusion that Intelligence and Reason are the governing attributes of man’s mind, enunciates as his premiss that Intelligence and Reason are the governing attributes in the Kosmos95 — the premiss introduced is more debateable than the conclusion; and would (as he himself intimates) be contested by those against whose opposition he was arguing. In fact, the same proposition (That Reason and Intelligence are the dominant and controlling attributes of man, Passion and Appetite the subordinate) is assumed without any proof by Sokrates, both in the Protagoras and in the Republic. The Kosmos (in Plato’s view) has reason and intelligence, but experiences no emotion either painful or pleasurable: the rational nature of man is thus common to him with the Kosmos, his emotional nature is not so. That the mind of each individual man was an emanation from the all-pervading mind of the Kosmos or universe, and his body a fragmentary portion of the four elements composing the cosmical body — these are propositions which had been laid down by Sokrates, as well as by Philolaus and other Pythagoreans (perhaps by Pythagoras himself) before the time of Plato.96 Not only that doctrine, but also the analysis of the Kosmos into certain abstract constituent principia — (the Finient or Determinant — and the Infinite or Indeterminate) — this too seems to have been borrowed by Plato from Philolaus.97

Plato borrows from the Pythagoreans, but enlarges their doctrine. Importance of his views in dwelling upon systematic classification.

But here in the Philêbus, that analysis appears expanded into a larger scheme going beyond Philolaus or the Pythagoreans: viz. the recognition of a graduated scale of limits, or a definite number of species and sub-species — intermediate between the One or Highest Genus, and the Infinite Many or Individuals — and descending by successive stages of limitation from the Highest to the Lowest. What is thus described, is the general framework of systematic logical classification, deliberately contrived, and founded upon known attributes, common as well as differential. It is prescribed as essential to all real cognition; if we conceive only the highest Genus or generic name as comprehending an infinity of diverse particulars, we have no real cognition, until we can assign the intermediate stages of specification by which we descend from one to the other.98 The step here made by Plato, under the stimulus of the Sokratic dialectic, from the Pythagorean doctrine of Finient and Infinite to the idea of gradual, systematic, logical division and subdivision, is one very important in the history of science. He lays as much stress upon the searching out of the intermediate species, as Bacon does upon the Axiomata Media of scientific enquiry.99

Classification broadly enunciated, and strongly recommended — yet feebly applied — in this dialogue.

Though there are several other passages of the Platonic dialogues in which the method of logical division is inculcated, there is none (I think) in which it is prescribed so formally, or enunciated with such comprehensive generality, as this before us in the Philêbus. Yet the method, after being emphatically announced, is but feebly and partially applied, in the distinction of different species, both of pleasure and of cognition.100 The announcement would come more suitably, as a preface to the Sophistês and Politikus: wherein the process is applied to given subjects in great detail, and at a length which some critics consider excessive: and wherein moreover the particular enquiry is expressly proclaimed as intended to teach as well as to exemplify the general method.101

What is the Good? Discussed both in Philêbus and in Republic. Comparison.

The same question as that which is here discussed in the Philêbus, is also started in the sixth book of the Republic. It is worth while to compare the different handling, here and there. “Whatever else we possess (says Sokrates in the Republic), and whatever else we may know is of no value, unless we also possess and know Good. In the opinion of most persons, Pleasure is The Good: in the opinion of accomplished and philosophical men, intelligence (φρόνησις) is the Good. But when we ask Intelligence, of what? these philosophers cannot inform us: they end by telling us, ridiculously enough, Intelligence of The Good. Thus, while blaming us for not knowing what The Good is, they make an answer which implies that we do already know it: in saying, Intelligence of the Good, they of course presume that we know what they mean by the word. Then again, those who pronounce Pleasure to be the Good, are not less involved in error; since they are forced to admit that some Pleasures are Evil; thus making Good and Evil to be the same. It is plain therefore that there are many and grave disputes what The Good is.”102

Mistake of talking about Bonum confidently, as if it were known, while it is subject of constant dispute. Plato himself wavers about it; gives different explanations, and sometimes professes ignorance, sometimes talks about it confidently.

In this passage of the Republic Plato points out that Intelligence cannot be understood, except as determined by or referring to some Object or End: and that those who tendered Intelligence per se for an explanation of The Good (as Sokrates does in the Philêbus), assumed as known the very point in dispute which they professed to explain. This is an important remark in regard to ethical discussions: and it were to be wished that Plato had himself avoided the mistake which he here blames in others. The Platonic Sokrates frequently tells us that he does not know what Good is. In the sixth Book of the Republic, having come to a point where his argument required him to furnish a positive explanation of it, he expressly declines the obligation and makes his escape amidst the clouds of metaphor.103 In the Protagoras, he pronounces Good to be identical with pleasure and avoidance of pain, in the largest sense and under the supervision of calculating Intelligence.104 In the second Book of the Republic, we find what is substantially the same explanation as that of the Protagoras, given (though in a more enlarged and analytical manner) by Glaukon and assented to by Sokrates; to the effect that Good is tripartite,105 viz.: 1. That which we desire for itself, without any reference to consequences — e. g., enjoyment and the innocuous pleasures. 2. That which we desire on a double account, both for itself and by reason of its consequences — e. g., good health, eyesight, intelligence, &c. 3. That which we do not desire, perhaps even shun, for itself: but which we desire, or at least accept, by reason of its consequences — such as gymnastics, medical treatment, discipline, &c. Again, in the Gorgias and elsewhere, Plato seems to confine the definition of Good to the two last of these three heads, rejecting the first: for he distinguishes pointedly the Good from the Pleasurable. Yet while thus wavering in his conception of the term, Plato often admits it into the discussions as if it were not merely familiar, but clear and well-understood by every one.

Plato lays down tests by which Bonum may be determined: but the answer in the Philêbus does not satisfy those tests.

In the present dialogue, Plato lays down certain characteristic marks whereby The Supreme Good may be known. These marks are subjective — relative to the feelings and appreciation of sentient beings — to all mankind, and even to animals and plants. Good is explicitly defined by the property of conferring happiness. The Good is declared to be “that habit and disposition of mind which has power to confer on all men a happy life”:106 it is perfect and all sufficient: every creature that knows Good, desires and hunts after it, demanding nothing farther when it is attained, and caring for nothing else except what is attained along with it:107 it is the object of choice for all plants and animals, and if any one prefers any thing else, he only does so through ignorance or from some untoward necessity:108 it is most delightful and agreeable to all.109 This is what Plato tells us as to the characteristic attributes of Good. And the test which Sokrates applies, to determine whether Pleasure does or does not correspond with these attributes, is an appeal to individual choice or judgment. “Would you choose? Would any one be satisfied?” Though this appeal ought by the conditions of the problem to be made to mankind generally, and is actually made to Protarchus as one specimen of them — yet Sokrates says at the end of the dialogue that all except philosophers choose wrong, being too ignorant or misguided to choose aright. Now it is certain that what these philosophers choose, will not satisfy the aspirations of all other persons besides. It may be Good, in reference to the philosophers themselves: but it will fail to answer those larger conditions which Plato has just laid down.

Inconsistency of Plato in his way of putting the question — The alternative which he tenders has no fair application.

In submitting the question to individual choice, Plato does not keep clear either of confusion or of contradiction. If this Summum Bonum be understood as the End comprising the full satisfaction of human wishes and imaginations, without limitation by certain given actualities — and if the option be tendered to a man already furnished with his share of the various desires generated in actual life — such a man will naturally demand entire absence of all pains, with pleasures such as to satisfy all his various desires: not merely the most intense pleasures (which Plato intends to prove, not to be pleasures at all), but other pleasures also. He will wish (if you thus suppose him master of Fortunatus’s wishing-cap) to include in his enjoyments pleasures which do not usually go together, and which may even, in the real conditions of life, exclude one another: no boundary being prescribed to his wishing power. He will wish for the pleasures of knowledge or intelligence, of self-esteem, esteem from others, sympathy, &c., as well as for those of sense. He will put in his claim for pleasures, without any of those antecedent means and conditions which, in real life, are necessary to procure them. Such being the state of the question, the alternative tendered by Plato — Pleasure, versus Intelligence or Knowledge — has no fair application. Plato himself expressly states that pleasure, though generically One, is specifically multiform, and has many varieties different from, even opposite to, each other: among which varieties one is, the pleasure of knowledge or intelligence itself.110 The person to whom the question is submitted, has a right to claim these pleasures of knowledge among the rest, as portions of his Summum Bonum. And when Plato proceeds to ask — Will you be satisfied to possess pleasure only, without the least spark of intelligence, without memory, without eyesight? — he departs from the import of his previous question, and withdraws from the sum total of pleasure many of its most important items: since we must of course understand that the pleasures of intelligence will disappear along with intelligence itself,111 and that the pains of conscious want of intelligence will be felt instead of them.

Intelligence and Pleasure cannot be fairly compared — Pleasure is an End, Intelligence a Means. Nothing can be compared with Pleasure, except some other End.

That the antithesis here enunciated by Plato is not legitimate or logical, we may see on other grounds also. Pleasure and Intelligence cannot be placed in competition with each other for recognition as Summum Bonum: which, as described by Plato himself, is of the nature of an End, while Intelligence is of the nature of a means or agency — indispensable indeed, yet of no value unless it be exercised, and rightly exercised towards its appropriate end, which end must be separately declared.112 Intelligence is a durable acquisition stored up, like the good health, moral character, or established habits, of each individual person: it is a capital engaged in the production of interest, and its value is measured by the interest produced. You cannot with propriety put the means — the Capital — in one scale, and the End — the Interest — in the other, so as to ascertain which of the two weighs most. A prudent man will refrain from any present enjoyment which trenches on his capital: but this is because the maintenance of the capital is essential to all future acquisitions and even future maintenance. So too, Intelligence is essential as a means or condition to the attainment of pleasure in its largest sense — that is, including avoidance or alleviation of pain or suffering: if therefore you choose to understand pleasure in a narrower sense, not including therein avoidance of pain (as Plato understands it in this portion of the Philêbus), the comprehensive end to which Intelligence corresponds may be compared with Pleasure and declared more valuable — but Intelligence itself cannot with propriety be so compared. Such a comparison can only be properly instituted when you consider the exercise of Intelligence as involving (which it undoubtedly does113) pleasures of its own; which pleasures form part of the End, and may fairly be measured against other pleasures and pains. But nothing can be properly compared with Pleasure, except some other supposed End: and those theorists who reject Pleasure must specify some other Terminus ad quem — otherwise intelligence has no clear meaning.

The Hedonists, while they laid down attainment of pleasure and diminution of pain, postulated Intelligence as the governing agency.

Now the Hedonists in Plato’s age, when they declared Pleasure to be the supreme Good, understood Pleasure in its widest sense, as including not merely all varieties of pleasure, mental and bodily alike, but also avoidance of pain (in fact Epikurus dwelt especially upon this last point). Moreover, they did not intend to depreciate Intelligence, but on the contrary postulated it as a governing agency, indispensable to right choice and comparative estimation between different pleasures and pains. That Eudoxus,114 the geometer and astronomer, did this, we may be sure: but besides, this is the way in which the Hedonistic doctrine is expounded by Plato himself. In his Protagoras, Sokrates advocates that doctrine, against the Sophist who is unwilling to admit it. In the exposition there given by Sokrates, Pleasure is announced as The Good to be sought, Pain as The Evil to be avoided or reduced to a minimum. But precisely because the End, to be pursued through constant diversity of complicated situations, is thus defined — for that very reason he declares that the dominant or sovereign element in man must be, the measuring and calculating Intelligence; since such is the sole condition under which the End can be attained or approached. In the theory of the Hedonists, there was no antithesis, but indispensable conjunction and implication, between Pleasure and Intelligence.115 And if it be said, that by declaring Pleasure (and avoidance of Pain) to be the End, Intelligence the means, — they lowered the dignity of the latter as compared with the former:— we may reply that the dignity of Intelligence is exalted to the maximum when it is enthroned as the ruling and controuling agent over the human mind.

Pleasures of Intelligence may be compared, and are compared by Plato, with other pleasures, and declared to be of more value. This is arguing upon the Hedonistic basis.

In a scheme of mental philosophy, Emotion and Intellect are properly treated as distinct phenomena requiring to be explained separately, though perpetually co-existent and interfering with each other. But in an ethical discourse about Summum Bonum, the antithesis between Pleasure and Intelligence, on which the Philêbus turns, is from the outset illogical. What gives to it an apparent plausibility, is, That the exercise of Intelligence has pleasures and pains of its own, and includes therefore in itself a part of the End, besides being the constant and indispensable directing force or Means. Now, though pleasure in genere cannot be weighed in the scale against Intelligence, yet the pleasures and pains of Intelligence may be fairly and instructively compared with other pleasures and pains. You may contend that the pleasures of Intelligence are superior in quality, as well as less alloyed by accompanying pains. This comparison is really instituted by Plato in other dialogues;116 and we find the two questions apparently running together in his mind as if they were one and the same. Yet the fact is, that those who affirm the pleasures attending the exercise of Intelligence to be better and greater, and the pains less, than those which attend other occupations, are really arguing upon the Hedonistic basis.117 Far from establishing any antithesis between Pleasure and Intelligence, they bring the two into closer conjunction than was done by Epikurus himself.

Marked antithesis in the Philêbus between pleasure and avoidance of pain.

Another remark may be made on the way in which Plato argues the question in the Philêbus against the Hedonists. He draws a marked line of separation between Pleasure — and avoidance, relief, or mitigation, of Pain. He does not merely distinguish the two, but sets them in opposing antithesis. Wherever there is pain to be relieved, he will not allow the title of pleasurable to be bestowed on the situation. That is not true pleasure: in other words, it is no pleasure at all. He does not go quite so far as some contemporary theorists, the Fastidious Pleasure-Haters, who repudiated all pleasures without exception.118 He allows a few rare exceptions; the sensual pleasures of sight, hearing, and smell — and the pleasures of exercising Intelligence, which (these latter most erroneously) he affirms to be not disentitled by any accompanying pains. His catalogue of pleasures is thus reduced to a chosen few, and these too enjoyable only by a chosen few among mankind.

The Hedonists did not recognise this distinction — They included both in their acknowledged End.

Now this very restricted sense of the word Pleasure is peculiar to Plato, and peculiar even to some of the Platonic dialogues. Those who affirmed Pleasure to be the Good, did not understand the word in the same restricted sense. When Sokrates in the Protagoras affirms, and when Sokrates in the Philêbus denies, that Pleasure is identical with Good, — the affirmation and the denial do not bear upon the same substantial meaning.119

Arguments of Plato against the intense pleasures — The Hedonists enforced the same reasonable view.

Again, in the arguments of Sokrates against pleasure in genere, we find him also singling out as examples the intense pleasures, which he takes much pains to discredit. The remarks which he makes here upon the intense pleasures, considered as elements of happiness, have much truth taken generally. Though he exaggerates the matter when he says that many persons would rejoice to have itch and irritation, in order that they might have the pleasure of scratching120 — and that persons in a fever have greater pleasure as well as greater pain than persons in health — yet he is correct to this extent, that the disposition to hanker after intense pleasures, to forget their painful sequel in many cases, and to pay for them a greater price than they are worth, is widely disseminated among mankind. But this is no valid objection against the Hedonistic theory, as it was enunciated and defended by its principal advocates — by the Platonic Sokrates (in the Protagoras), by Aristippus, Eudoxus,121 Epikurus. All of them took account of this frequent wrong tendency, and arranged their warnings accordingly. All of them discouraged, not less than Plato, such intense enjoyments as produced greater mischief in the way of future pain and disappointment, or as obstructed the exercise of calm reason.122 All of them, when they talked of pleasure as the Supreme Good, understood thereby a rational estimate and comparison of pleasures and pains, present and future, so as to ensure the maximum of the former and the minimum of the latter. All of them postulated a calculating and governing Reason. Epikurus undoubtedly, and I believe the other two also, recommended a life of moderation, tranquillity, and meditative reason: they deprecated the violent emotions, whether sensual, ambitious, or money-getting.123 The objections therefore here stated by Sokrates, in so far as they are derived from the mischievous consequences of indulgence in the intense pleasures, do not avail against the Hedonistic theory, as explained either by Plato himself (Protagoras) or by any theorists of the Platonic century.

Different points of view worked out by Plato in different dialogues — Gorgias, Protagoras, Philêbus — True and False Pleasures.

We find Plato in his various dialogues working out different points of view, partly harmonious, partly conflicting, upon ethical theory. Thus in the Gorgias, Sokrates insists eloquently upon the antithesis between the Immediate and Transient on the one hand, which he calls Pleasure or Pain — and the Distant and Permanent on the other, which he calls Good or Profit, Hurt or Evil. In the Protagoras, Sokrates acknowledges the same antithesis: but he points out that the Good or Profit, Hurt or Evil, resolve themselves into elements generically the same as those of the Immediate and Transient — Pleasure and Pain: so that all which we require is, a calculating Intelligence to assess and balance correctly the pleasures and pains in every given case. In the Philêbus, Sokrates takes a third line, distinct from both the other two dialogues: he insists upon a new antithesis, between True Pleasures — and False Pleasures. If a Pleasure be associated with any proportion, however small, of Pain or Uneasiness — or with any false belief or impression — he denounces it as false and impostrous, and strikes it out of the list of pleasures. The small residue which is left after such deduction, consists of pleasures recommended altogether by what Plato calls their truth, and addressing themselves to the love of truth in a few chosen minds. The attainment of Good — the object of the practical aspirations — is presented as a secondary appendage of the attainment of Truth — the object of the speculative or intellectual energies.

Opposition between the Gorgias and Philêbus, about Gorgias and Rhetoric.

How much the Philêbus differs in its point of view from the Gorgias,124 is indicated by Plato himself in a remarkable passage. “I have often heard Gorgias affirm” (says Protarchus) “that among all arts, the art of persuasion stands greatly pre-eminent: since, it ensures subservience from all, not by force, but with their own free consent.” To which Sokrates replies — “I was not then enquiring what art or science stands pre-eminent as the greatest, or as the best, or as conferring most benefit upon us — but what art or science investigates clear, exact, and full truth, though it be in itself small, and may afford small benefit. You need not quarrel with Gorgias, for you may admit to him the superiority of his art in respect of usefulness to mankind, while my art (dialectic philosophy) is superior in respect of accuracy. I observed just now, that a small piece of white colour which is pure, surpasses in truth a large area which is not pure. We must not look to the comparative profitable consequences or good repute of the various sciences or arts, but to any natural aspiration which may exist in our minds to love truth, and to do every thing for the sake of truth. It will then appear that no other science or art strives after truth so earnestly as Dialectic.”125

If we turn to the Gorgias, we find the very same claim advanced by Gorgias on behalf of his own art, as that which Protarchus here advances: but while Sokrates here admits it, in the Gorgias he repudiates it with emphasis, and even with contumely: ranking rhetoric among those employments which minister only to present pleasure, but which are neither intended to yield, nor ever do yield, any profitable result. Here in the Philêbus, the antithesis between immediate pleasure and distant profit is scarcely noticed. Sokrates resigns to Gorgias and to others of the like stamp, a superiority not merely in the art of flattering and tricking the immediate sensibilities of mankind, but in that of contributing to their permanent profit and advantage. It is in a spirit contrary to the Gorgias, and contrary also to the Republic (in which latter we read the memorable declaration — That the miseries of society will have no respite until government is in the hands of philosophers126), that Sokrates here abnegates on behalf of philosophy all efficacious pretension of conferring profit or happiness on mankind generally, and claims for it only the pure delight of satisfying the truth-seeking aspirations. Now these aspirations have little force except in a few chosen minds; in the bulk of mankind the love of truth is feeble, and the active search for truth almost unknown. We thus see that in the Philêbus it is the speculative few who are present to the imagination of Plato, more than the ordinary working, suffering, enjoying Many.

Peculiarity of the Philêbus — Plato applies the same principle of classification — true and false — to Cognitions and Pleasures.

Aristotle, in the commencement of his Metaphysica, recommends Metaphysics or First Philosophy to the reader, by affirming that, though other studies are more useful or more necessary to man, none is equal to it in respect of truth and exactness,127 because it teaches us to understand First Causes and Principles. The like pretension is put forward by Plato in the Philêbus128 on behalf of dialectic; which he designates as the science of all real, permanent, unchangeable, Entia. Taking Dialectic as the maximum or Verissimum, Plato classifies other sciences or cognitions according as they approach closer to it in truth or exactness — according as they contain more of precise measurement and less of conjecture. Sciences or cognitions are thus classified according as they are more or less true and pure. But because this principle of classification is fairly applicable to cognitions, Plato conceives that it may be made applicable to Pleasures also. One characteristic feature of the Philêbus is the attempt to apply the predicates, true or false, to pleasures and pains, as they are applicable to cognitions or opinions: an attempt against which Protarchus is made to protest, and which Sokrates altogether fails in justifying,129 though he employs a train of argument both long and diversified.

Distinction of true and false — not applicable to pleasures.

In this train of argument we find a good deal of just and instructive psychological remark: but nothing at all which proves the conclusion that there are or can be false pleasures or false pains. We have (as Sokrates shows) false remembrances of past pleasures and pains — false expectations, hopes, and fears of future: we have pleasures alloyed by accompanying pains, and pains qualified by accompanying pleasures: we have pleasures and pains dependent upon false beliefs: but false pleasures we neither have nor can have. The predicate is altogether inapplicable to the subject. It is applicable to the intellectual side of our nature, not to the emotional. A pleasure (or a pain) is what it seems, neither more nor less; its essence consists in being felt.130 There are false beliefs, disbeliefs, judgments, opinions — but not false pleasures or pains. The pleasure of the dreamer or madman is not false, though it may be founded on illusory belief: the joy of a man informed that he has just been appointed to a lucrative and honourable post, the grief of a father on hearing that his son has been killed in battle, are neither of them false, though the news which both persons are made to believe may be totally false, and though the feelings will thus be of short duration. Plato observes that the state which he calls neutrality or indifference appears pleasurable when it follows pain, and painful when it results from an interruption of pleasure: here is a state which appears alternately to be both, though it is in reality neither: the pleasure or pain, therefore, whichever it be, he infers to be false131 But there is no falsehood in the case: the state described is what it appears to be — pleasurable or painful: Plato describes it erroneously when he calls it the same state, or one of neutrality. Pleasure and Pain are both of them phenomena of present consciousness. They are what they seem: none of them can be properly called (as Plato calls them) “apparent pleasures which have no reality”.132

Plato acknowledges no truth and reality except in the Absolute — Pleasures which he admits to be true — and why.

What seems present to the mind of Plato in this doctrine is the antithesis between the absolute and the relative. He will allow reality only to the absolute: the relative he considers (herein agreeing with the Eleates) to be all seeming and illusion. Thus when he comes to describe the character of those few pleasures which he admits to be true, we find him dwelling upon their absolute nature. 1. The pleasures derived from perfect geometrical figures: the exact straight line, square, cube, circle, &c.: which figures are always beautiful per se, not by comparison or in relation with any thing else:133 and “which have pleasures of their own, noway analogous to those of scratching” (i. e., not requiring to be preceded by the discomfort of an itching surface). 2. The pleasures derived from certain colours beautiful in themselves: which are beautiful always, not merely when seen in contrast with some other colours. 3. The pleasures of hearing simple sounds, beautiful in and by themselves, with whatever other sounds they may be connected. 4. The pleasures of sweet smells, which are pleasurable though not preceded by uneasiness. 5. The pleasures of mathematical studies: these studies do not derive their pleasurable character from satisfying any previous uneasy appetite, nor do they leave behind them any pain if they happen to be forgotten.134

These few are all the varieties of pleasure which Plato admits as true: they are alleged as cases of the absolutely pleasurable (Αὐτο-ἡδύ) — that which is pleasurable per se, and always, without relation to any thing else, without dependence on occasion or circumstance, and without any antecedent or concomitant pain. All other pleasures are pleasurable relatively to some antecedent pain, or to some contrasting condition, with which they are compared: accordingly Plato considers them as false, unreal, illusory: pleasures and not pleasures at once, and not more one than the other.135 Herein he conforms to the Eleatic or Parmenidean view, according to which the relative is altogether falsehood and illusion: an intermediate stage between Ens and Non-Ens, belonging as much to the first as to the last.

Plato could not have defended this small list of Pleasures, upon his own admission, against his opponents — the Pleasure-haters, who disallowed pleasures altogether.

The catalogue of pleasures recognised by Plato being so narrow (and much of them attainable only by a few persons), the amount of difference is really very small between him and his pleasure-hating opponents, who disallowed pleasure altogether. But small as the catalogue is, he could not consistently have defended it against them, upon his own principles. His opponents could have shown him that a considerable portion of it must be discarded, if we are to disallow all pleasures which are preceded by or intermingled with pain — or which are sometimes stronger, sometimes feebler, according to the relations of contrast or similarity with other concomitant sensations. Mathematical study certainly, far from being all pleasure and no pain, demands an irksome preparatory training (which is numbered among the miseries of life in the Axiochus136), succeeded by long laborious application, together with a fair share of vexatious puzzle and disappointment. The love of knowledge grows up by association (like the thirst for money or power), and includes an uncomfortable consciousness of ignorance: nay, it is precisely this painful consciousness which the Sokratic method was expressly intended to plant forcibly in the student’s mind, as an indispensable antecedent condition. Requital doubtless comes in time; but the outlay is not the less real, and is quite sufficient to disentitle the study from being counted as a true pleasure, in the Platonic sense. Nor could Plato, upon his own principles, defend the pleasures of sight, sound, and smell. For though he might justly contend that there were some objects originally agreeable to these senses, yet all these objects will appear more or less agreeable, according to the accompanying contrasts under which they are presented, while, in particular states of the organ, they will not appear agreeable at all. Now such variability of estimate is among the grounds alleged by Plato for declaring pleasures to be false.137