Aristotle distinguishes, in clear and explicit language, a science which he terms Wisdom, Philosophy, or First Philosophy; the subject-matter of which he declares to be Ens quatenus Ens, together with the concomitants belonging to it as such. With this Ontology the treatise entitled Metaphysica purports to deal, and the larger portion of it does really so deal. At the same time, the line that parts off Ontology from Logic (Analytic and Dialectic) on the one hand, and from Physics on the other, is not always clearly marked. For, though the whole process of Syllogism, employed both in Analytic and Dialectic, involves and depends upon the Maxim of Contradiction, yet the discussion of this Maxim is declared to belong to First Philosophy;1 while not only the four Aristotelian varieties of Cause or Condition, and the distinction between Potential and Actual, but also the abstractions Form, Matter and Privation, which play so capital a part in the Metaphysica, are equally essential and equally appealed to in the Physica.2 If we include both what is treated in the Analytica Posteriora (the scientific explanation of Essence and Definition) and what is treated in the Physica, we shall find that nearly all the expository processes employed in the Metaphysica are employed also in these two treatises. To look upon the general notion as a cause, and to treat it as a creative force (der schÖpferische Wesensbegriff, to use the phrase of Prantl and other German logicians3), belongs alike to the Physica and to the Analytica Posteriora. The characteristic distinction of the treatise entitled Metaphysica is, that it is all-comprehensive in respect to the ground covered; that the expository process is applied, About the Metaphysica, as carrying out and completing the exposition of the Analytica Posteriora, see Metaphys. Z. xii. p. 1037, b. 8: ??? d? ????e? p??t??, ?f’ ?s?? ?? t??? ??a??t????? pe?? ???s?? ? e???ta? (Analyt. Post. II. vi. p. 92, a. 32; see note b, p. 243). The primary distinction and classification recognized by Aristotle among Sciences or Cognitions, is, that of (1) Theoretical, (2) Practical, (3) Artistic or Constructive.6 Of these three divisions, the second and third alike comprise both intelligence and action, but the two are distinguished from each other by this — that in the Artistic there is always some assignable product which the agency leaves behind independent of itself, whereas in the Practical no such independent result remains,7 but the agency itself, together with the purpose (or intellectual and volitional condition) of the agent, is every thing. The division named Theoretical comprises intelligence alone — intelligence of principia, causes and constituent elements. Here again we find a tripartite classification. The highest and most universal of all Theoretical Sciences is recognized by Aristotle as Ontology (First Philosophy, sometimes called by him Theology) which deals with all Ens universally quatenus Ens, and with the Prima Moventia, themselves immoveable, of the entire Kosmos. The two other heads of Theoretical Science are Mathematics and Physics; each of them special and limited, as compared with Ontology. In Physics we scientifically study natural bodies with their motions, changes, and phenomena; bodies in which Form always appears implicated with Matter, and in which the principle of motion or change is immanent Such is Aristotle’s tripartite distribution of Theoretical or Contemplative Science. In introducing us to the study of First Philosophy, he begins by clearing up the meaning of the term Ens. It is a term of many distinct significations; being neither univocal, nor altogether equivocal, but something intermediate between the two, or multivocal. It is not a generic whole, distributed exhaustively among correlative species marked off by an assignable difference:9 it is an analogical whole, including several genera distinct from each other at the beginning, though all of them branches derivative from one and the same root; all of them connected by some sort of analogy or common relation to that one root, yet not necessarily connected with each other by any direct or special tie. Compare K. iii. p. 1060, b. 32. See also above, ch. iii. p. 60, of the present work. Of these various significations, he enumerates, as we have already seen, four:— (1) Ens which is merely concomitant with, dependent upon, or related to, another Ens as terminus; (2) Ens in the sense of the True, opposed to Non-Ens in the sense of the False; (3) Ens according to each of the Ten Categories; (4) Ens potentially, as contrasted with Ens actually. But among these four heads, the two last only are matters upon which science is attainable, in the opinion of Aristotle. To these two, accordingly, he confines Ontology or First Philosophy. They are the only two that have an objective, self-standing, independent, nature. That which falls under the first head (Ens per Accidens) is essentially indeterminate; and its causes, being alike indeterminate, are out of the reach of science. So also is that which falls under the second head — Ens tanquam verum, contrasted with Non-Ens tanquam falsum. This has no independent standing, but results from an internal act of the judging or believing mind, combining two elements, or disjoining two elements, in a way conformable to, or non-conformable to, real fact. The true There remains much obscurity about this meaning of Ens (Ens ?? ??????), even after the Scholia of Alexander (p. 701, a. 10, Sch. Brand.), and the instructive comments of Bonitz, Schwegler, and Brentano (Ueber die Bedeutung des Seienden nach Aristoteles, ch. iii. pp. 21-39). The foundation of this meaning of Ens lies in the legitimate Antiphasis, and the proper division thereof (t? d? s?????? pe?? e??s?? ??t?f?se??, p. 1027, b. 20). It is a first principle (p. 1005, b. 30) that, if one member of the Antiphasis must be affirmed as true, the other must be denied as false. If we fix upon the right combination to affirm, we say the thing that is: if we fix upon the wrong combination and affirm it, we say the thing that is not (p. 1012, b. 10). “Falsehood and Truth (Aristotle says, E. iv. p. 1027, b. 25) are not in things but in our mental combination; and as regards simple (uncombined) matters and essences, they are not even in our mental combination:” ?? ??? ?st? t? ?e?d?? ?a? t? ?????? ?? t??? p???as??, ???? t? ?? ??a??? ??????, t? d? ?a??? e???? ?e?d??, ???’ ?? d?a????· pe?? d? t? ?p?? ?a? t? t? ?st?? ??d’ ?? t? d?a????. Compare Bonitz (ad Ar. Metaph. Z. iv. p. 1030, a.), p. 310, Comm. In regard to cogitabilia — simple, indivisible, uncompounded — there is no combination or disjunction; therefore, strictly speaking, neither truth nor falsehood (Aristot. De AnimÂ, III. vi. p. 430, a. 26; also Categor. x. p. 13, b. 10). The intellect either apprehends these simple elements, or it does not apprehend them; there is no d?????a concerned. Not to apprehend them is ignorance, ?????a, which sometimes loosely passes under the title of ?e?d?? (Schwegler, Comm. Pt. II., p. 32). Compare Metaph. K. vii. p. 1063, b. 36; p. 1065, a. 8-26. Analyt. Post. I. ii. p. 71, b. 9. There remain, as matter proper for the investigation of First Philosophy, the two last-mentioned heads of Ens; viz., Ens according to the Ten Categories, and Ens potential and actual. But, along with these, Aristotle includes another matter also; viz., the critical examination of the Axioms and highest generalities of syllogistic proof or Demonstration. He announces as the first principle of these Axioms — as the highest and firmest of all Principles — the Maxim of Contradiction:12 The same predicate The Syllogism is defined by Aristotle as consisting of premisses and a conclusion: if the two propositions called premisses be granted as true, a third as conclusion must for that reason be granted as true also.14 The truth of the conclusion is affirmed conditionally on the truth of the premisses; and the rules of Syllogism set out those combinations of propositions in which such affirmation may be made legitimately. The rules of the Syllogism being thus the rules for such conditional affirmation, the Principle or Axiom thereof enunciates in the most general terms what is implied in all those rules, as essential to their validity. And, since the syllogistic or deductive process is applicable without exception to every variety of the Scibile, Aristotle considers the Axioms or Principles thereof to come under the investigation of Ontology or First Philosophy. Thus it is, that he introduces us to the Maxim of Contradiction, and its supplement or correlative, the Maxim of the Excluded Middle. His vindication of these Axioms is very illustrative of the philosophy of his day. It cannot be too often impressed that he was the first either to formulate the precepts; or to ascend to the theory, of deductive reasoning; that he was the first to mark by appropriate terms the most important logical distinctions and characteristic attributes of propositions; that before his time, there was abundance of acute dialectic, but no attempt to set forth any critical scheme whereby the conclusions of such dialectic might be tested. Anterior to Sokrates, the cast of Grecian philosophy had been altogether either theological, or poetical, or physical, or at least some fusion of these three varieties into one. Sokrates was the first who broke ground for Logic — for testing the difference between good and bad ratiocination. He did this by enquiry as to the definition of general terms,15 and by dialectical exposure of the ignorance generally prevalent among those who familiarly used them. Plato in his While Aristotle mentions these various dissentients, and especially Herakleitus, he seems to imagine that they were not really in earnest20 in their dissent. Yet he nevertheless goes at length into the case against them, as well as against others, who agreed with him in affirming the Maxim, but who undertook also to demonstrate it. Any such demonstration Aristotle declares to be impossible. The Maxim is assumed in all demonstrations; unless you grant it, no demonstration is valid; but it cannot be itself demonstrated. He had already laid down in the Analytica that the premisses for demonstration could not be carried back indefinitely, and that the attempt so to carry them back was unphilosophical.21 There must be some primary, undemonstrable The man who professes this doctrine, however (continues Aristotle28), shows plainly by his conduct that his mind is not thus blank; that, in respect of the contradictory alternative, he does not believe either both sides or neither side, but believes one and disbelieves the other. When he feels hungry, and seeks what he knows to be palatable and wholesome, he avoids what he knows to be nasty and poisonous. He knows what is to be found in the market-place, and goes there to get it; he keeps clear of falling into a well or walking into the sea; he does not mistake a horse for a man. He may often find himself mistaken; but he shows by his conduct that he believes certain subjects to possess certain definite attributes, and not to possess others. Though we do not reach infallible truth, we obtain an approach to it, sometimes nearer, sometimes more remote; and we thus escape the extreme doctrine which forbids all definite affirmation.29 It is in this manner that Aristotle, vindicating the Maxims of Contradiction and of Excluded Middle as the highest principia of syllogistic reasoning, disposes of the two contemporaneous dogmas that were most directly incompatible with these Maxims:— (1) The dogma of Herakleitus, who denied all duration or permanence of subject, recognizing nothing but perpetual process, flux, or change, each successive moment of which involved destruction and generation implicated with each other: Is and is not are both alike and conjointly true, while neither is true separately, to the exclusion of the other;30 (2) The dogma of Having thus refuted these dogmas to his own satisfaction, Aristotle proceeds to impugn a third doctrine which he declares to be analogous to these two and to be equally in conflict with the two syllogistic principia which he is undertaking to vindicate. This third doctrine is the “Homo Mensura” of Protagoras: Man is the measure of all things — the measure of things existent as well as of things non-existent: To each individual that is true or false which he believes to be such, and for as long as he believes it. Aristotle contends that this doctrine is homogeneous with those of Herakleitus and Anaxagoras, and must stand or fall along with them; all three being alike adverse to the Maxim of Contradiction.32 Herein he follows partially the example of Plato, who (in his TheÆtÊtus33), though not formally enunciating the Maxim of Contradiction, had declared the tenets of Protagoras to be coincident with or analogous to those of Herakleitus, and had impugned both one and the other by the same line of arguments. Protagoras agreed with Herakleitus (so Plato and Aristotle tell us) in declaring both affirmative and negative (in the contradictory alternative) to be at once and alike true; for he maintained that what any person believed was true, and that what any person disbelieved was false. Accordingly, since opinions altogether opposite and contradictory are held by different persons or by the same person at different times, both the affirmative and the negative of every Antiphasis must be held as true alike;34 in other words, all affirmations and all negations were at once true and false. Such co-existence or implication of contradictions is the main doctrine of Herakleitus. That such is and always has been the state of the fact, in regard to truth and falsehood, belief and disbelief, is matter of notoriety: Protagoras not only accepts it as a fact, but formulates it as a theory. Instead of declaring that what he (or the oracle which he consults and follows) believes to be true, is We know little about the opinions of Protagoras; but there was nothing in this canon necessarily at variance either with the Maxim of Contradiction or with that of Excluded Middle. Both Aristotle and Plato would have us believe that Protagoras was bound by his canon to declare every opinion to be alike false and true, because every opinion was believed by some and disbelieved by others.38 But herein they misstate his theory. He did not declare any thing to be absolutely true, or to be absolutely false. Truth and Falsehood were considered by him as always relative to some referee, and he recognized no universal or infallible referee. In his theory the necessity of some referee was distinctly enunciated, instead of being put out of sight under an ellipsis, as in the received theories and practice. And this is exactly what Plato and Aristotle omit, when they refute him. He proclaimed that each man was a measure for himself alone, Another argument of Aristotle41 against the Protagorean “Homo Mensura” — That it implies in every affirming Subject an equal authority and equal title to credence, as compared with every other affirming Subject — I have already endeavoured to combat in my review of the Platonic TheÆtÊtus, where the same argument appears fully developed. The antithesis between Plato and Aristotle on one side, and Protagoras on the other, is indeed simply that between Absolute and Relative. The Protagorean doctrine is quite distinct from the other doctrines with which they jumble it together — from those of Herakleitus and Anaxagoras, and from the theory that Knowledge is sensible perception. The real opponents of the Maxim of Contradiction were Herakleitus, Anaxagoras, Parmenides, and Plato himself as represented in some of his dialogues, especially the Parmenides, TimÆus, Republic, Sophistes. Each of these philosophers Now the common speech of mankind throughout the Hellenic world was founded on the assumption of such fixed subjects and predicates. Those who wanted information for practical guidance or security, asked for it in this form; those who desired to be understood by others, and to determine the actions of others, adopted the like mode of speech. Information was given through significant propositions, which the questioner sought to obtain, and which the answer, if cognizant, enunciated: e.g., TheÆtÊtus is sitting down42 — to repeat the minimum or skeleton of a proposition as given by Plato, requiring both subject and predicate in proper combination, to convey the meaning. Now the logical analysis, and the syllogistic precepts of Aristotle, — as well as his rhetorical and dialectical suggestions for persuading, for refuting, or for avoiding refutation — are all based upon the practice of common speech. In conversing (he says) it is impossible to produce and exhibit the actual objects signified; the speaker must be content with enunciating, instead thereof, the name significant of each.43 The first beginning of rhetorical diction is, to speak good Greek;44 the rhetor and the dialectician must dwell upon words, propositions, and opinions, not peculiar to such as have received special teaching, but common to the many and employed in familiar conversation; the auditors, to whom they address themselves, are assumed to be commonplace men, of fair average intelligence, but nothing beyond.45 Thus much of acquirement is imbibed by almost every one as he grows up, from the ordinary intercourse of society. The men of special instruction begin with it, as others But the First Philosophy that preceded his, had not been so adapted. The Greek philosophers, who flourished before dialectical discussion had become active, during the interval between Thales and Sokrates, considered Philosophy as one whole — rerum divinarum et humanarum scientia — destined to render Nature or the Kosmos more or less intelligible. They took up in the gross all those vast problems, which the religious or mythological poets had embodied in divine genealogies and had ascribed to superhuman personal agencies. Thales and his immediate successors (like their predecessors the poets) accommodated their hypotheses to intellectual impulses and aspirations of their own; with little anxiety about giving satisfaction to others,46 still less about avoiding inconsistencies or meeting objections. Each of them fastened upon some one grand and imposing generalization (set forth often in verse) which he stretched as far as it would go by various comparisons and illustrations, but without any attention or deference to adverse facts or reasonings. Provided that his general point of view was impressive to the imagination,47 as the old religious scheme of personal agencies was to the vulgar, he did not concern himself about the conditions of proof or disproof. The data of experience were altogether falsified (as by the Pythagoreans)48 in order to accommodate them to the theory; or were set aside as deceptive and inexplicable from the theory (as by both Parmenides and Herakleitus).49 But these vague hypotheses became subjected to a new scrutiny, when the dialectical age of Zeno and Sokrates supervened. Plato applies this remark to the theory of Protagoras; but the remark belongs properly to that of Herakleitus. But the great development of Dialectic during the Sokratic age, together with the new applications made of it by Sokrates and the unrivalled acuteness with which he wielded it, altered materially the position of these physical theories. Sokrates was not ignorant of them;53 but he discouraged such studies, and turned attention to other topics. He passed his whole life in public and in indiscriminate conversation with every one. He deprecated astronomy and physics as unbecoming attempts to pry into the secrets of the gods; who administered the general affairs of the Kosmos according to their own pleasure, and granted only, through the medium of prophecy or oracles, such special revelations as they thought fit. In his own discussions Sokrates dwelt only on matters of familiar conversation Compare IV. vii. 2-9. Compare the analysis of the Platonic Apology in my work, ‘Plato and the Other Companions of Sokrates,’ Vol. I. c. vii. The peculiarities which Aristotle ascribes to Sokrates are — that he talked upon ethical topics instead of physical, that he fastened especially on the definitions of general terms, and that his discussions were inductive, bringing forward many analogous illustrative or probative particulars to justify a true general proposition, and one or a few to set aside a false one.57 This Compare ib. I. ii. 38; IV. iv. 6; also Plato, TheÆtÊtus, p. 147, A, B; Republic I. p. 338, C. Without departing from Aristotle’s description, therefore, we may conceive the change operated by Sokrates in philosophical discussion under a new point of view. In exchanging Physics for Ethics, it vulgarized both the topics and the talk of philosophy. Physical philosophy as it stood in the age of Sokrates (before Aristotle had broached his peculiar definition of Nature) was merely an obscure, semi-poetical, hypothetical Philosophia Prima,60 or rather Philosophia Prima and Philosophia Secunda blended in one. This is true of all its varieties, — of the Ionic philosophers as well as of Pythagoras, Parmenides, Herakleitus, Anaxagoras, Empedokles, and even Demokritus. Such philosophy, dimly enunciated and only half intelligible,61 not merely did not tend to explain or clear up phenomenal experiences, but often added new difficulties of its own. It presented itself sometimes even as discrediting, overriding, and contradicting Alexander ap. Schol. p. 104, Bonitz: e?? ?????a? ?? t?? ???? ?a? ?p?stas?? p??ta? ???e??, ?d?? d? ???? a?t?? ??a????sas?a? d??????a?, d???? t? ?a?ep?? a?t??. Aristotle indicates how much the Philosophia Prima of his earlier predecessors was uncongenial to and at variance with phenomenal experience — Metaphys. A. v. p. 986, b. 31. To shape their theories in such a way — t? fa???e?a e? ???e? t?? ?p?d?se?? (Metaphys. ?. viii. p. 1073, b. 36), was an obligation which philosophers hardly felt incumbent on them prior to the Aristotelian age. Compare Simplikius (ad. Aristot. Physic. I.), p. 328, a. 1-26, Schol. Br.; Schol. (ad. Aristot. De Coelo III. I.) p. 509, a. 26-p. 510, a. 13. The drift of the Sokratic procedure was to bring men into the habit of defining those universal terms which they had hitherto used undefined, the definitions being verified by induction of particulars as the ultimate authority. It was a procedure built upon common speech, but improving on common speech; the talk of every man being in propositions, each including a subject and predicate, but neither subject nor predicate being ever defined. It was the mission of Sokrates to make men painfully sensible of that deficiency, as well as to enforce upon them the inductive evidence by which alone it could be rectified. Now the Analytic and Dialectic of Aristotle grew directly out of this Sokratic procedure, and out of the Platonic dialogues in so far as they enforced and illustrated it. When Sokrates had supplied the negative stimulus and indication of what was amiss, together with the appeal to Induction as final authority, Aristotle furnished, or did much to furnish, the positive analysis and complementary precepts, necessary to clear up, justify, and assure the march of reasoned truth.63 What Aristotle calls the syllogistic principia, or the principles of syllogistic demonstration, are nothing else than the steps If we go through the Sokratic conversations as reported in the Memorabilia of Xenophon, we shall find illustration of what has been just stated: we shall see Sokrates recognizing and following the common speech of men, in propositions combining subject and predicate; but trying to fix the meaning of both these terms, and to test the consistency of the universal predications by appeal to particulars. The syllogizing and the inductive processes are exhibited both of them in actual work on particular points of discussion. Now on these processes Aristotle brings his analysis to bear, eliciting and enunciating in general terms their principia and their conditions. We have seen that he expressly declares the analysis of these principia to belong to First Philosophy.64 And thus it is that First Philosophy as conceived by Aristotle, acknowledges among its fundamenta the habits of common Hellenic speech; subject only to correction and control by the Sokratic cross-examining and testing discipline. He stands distinguished among the philosophers for the respectful attention with which he collects and builds upon the beliefs actually prevalent among mankind.65 Herein as well as in other respects his First Philosophy not only differed from that of all the pre-Sokratic philosophers (such as Herakleitus, Parmenides, Anaxagoras, &c.) by explaining the principia of Analytic and Dialectic as well as those of Physics and Physiology, but it also differed from that of the post-Sokratic and semi-Sokratic Plato, by keeping up a closer communion both with Sokrates and with common speech. Though Plato in his Dialogues of Search appears to apply the inductive discipline of Sokrates, and to handle the Universal as referable to and dependent upon its particulars; yet the Platonic Philosophia Prima proceeds upon a view totally different. It is a fusion of Parmenides with Herakleitus;66 divorcing the Universal altogether from its particulars; treating the Universal as an The Maxim of Contradiction, which Aristotle proclaims as the first and firmest principium of syllogizing, may be found perpetually applied to particular cases throughout the Memorabilia of Xenophon and the Sokratic dialogues of Plato. Indeed the Elenchus for which Sokrates was so distinguished, is nothing more than an ever-renewed and ingenious application of it; illustrating the painful and humiliating effect produced even upon common minds by the shock of a plain contradiction, when a respondent, having at first confidently laid down some universal affirmative, finds himself unexpectedly compelled to admit, in some particular case, the contradictory negative. As against a Herakleitean, who saw no difficulty in believing both sides of the contradiction to be true at once, the Sokratic Elenchus would have been powerless. What Aristotle did was, to abstract and elicit the general rules of the process; to classify propositions according to their logical value, in such manner that he could formulate clearly the structure of the two propositions between which an exact contradictory antitheses subsisted. The important logical distinctions between propositions contradictory and propositions contrary, was first clearly enunciated by Aristotle; and, until this had been done, the Maxim of Contradiction could not have been laid down in a defensible manner. Indeed we may remark that, while this Maxim is first promulgated as a formula of First Philosophy in Book G. of the Metaphysica, it had already been tacitly assumed and applied by Aristotle throughout the De But, as Aristotle tells us, there were several philosophers and dialecticians who did not recognize the Maxim; maintaining that the same proposition might be at once true and false — that it was possible for the same thing both to be and not to be. How is he to deal with these opponents? He admits that he cannot demonstrate the Maxim against them, and that any attempt to do this would involve Petitio Principii. But he contends for the possibility of demonstrating it in a peculiar way — refutatively or indirectly; that is, provided that the opponents can be induced to grant (not indeed the truth of any proposition, to the exclusion of its contradictory antithesis, which concession he admits would involve Petitio Principii, but) the fixed and uniform signification of terms and propositions. Aristotle contends that the opponents ought to grant thus much, under penalty of being excluded from discussion as incapables or mere plants.68 I do not imagine that the opponents themselves would have felt obliged to grant as much as he here demands. The onus probandi lay upon him, as advancing a positive theory; and he would have found his indirect or refutative demonstration not more available in convincing them than a direct or ordinary demonstration. Against respondents who proclaim as their thesis the negative of the Maxim of Contradiction, refutation and demonstration are equally impossible. No dialectical discussion could ever lead to any result; for you can never prove more against them than what their own thesis unequivocally avows.69 As against Herakleitus and Anaxagoras, I do not think that Aristotle’s qualified vindication of the Maxim has any effective bearing. But Aristotle is quite right in saying that neither dialectical debate nor demonstration can be carried on unless terms and propositions be defined, and unless to each term there be assigned one special signification, or a limited number of special significations — excluding a certain number of others. This demand for definitions, and also the multiplied use of inductive interrogations, keeping the Universal implicated with and dependent upon its particulars — are the innovations which Aristotle expressly places to the credit of Sokrates. The Sokratic Elenchus Thus, then, although Aristotle was the first to enunciate the Maxim of Contradiction in general terms, after having previously originated that logical distinction of contrary and contradictory Propositions and doctrine of legitimate Antiphasis which rendered such enunciation possible, — yet, when he tries to uphold it against dissentients, it cannot be said that he has correctly estimated the logical position of those whom he was opposing, or the real extent to which the defence of the Maxim can be carried without incurring the charge of Petitio Principii. As against Protagoras, no defence was needed, for the Protagorean “Homo Mensura” is not incompatible with the Maxim of Contradiction; while, as against Herakleitus, Anaxagoras, Parmenides, &c., no defence was practicable, and the attempt of Aristotle to construct one appears to me a failure. All that can be really done in the way of defence is, to prove the Maxim in its general enunciation by an appeal to particular cases: if your opponent is willing to grant these particular cases, you establish the general Maxim against him by way of Induction; if he will not grant them, you cannot prove the general Maxim at all. Suppose you are attempting to prove to an Herakleitean that an universal affirmative and its contradictory particular negative cannot be both true at once. You begin by asking him about particular cases, Whether it is possible that the two propositions — All men are mortal, and, Some men are not mortal — can both be true at once? If he admits that these two propositions cannot both be true at once, if he admits the like with regard to other similar Nor is anything gained, as Aristotle supposes, by reminding the Herakleitean of his own practice in the daily concerns of life and in conversation with common persons: that he feeds himself with bread to-day, in the confidence that it has the same properties as it had yesterday;70 that, if he wishes either to give or to obtain information, the speech which he utters or that which he acts upon must be either affirmative or negative. He will admit that he acts in this way, but he will tell you that he has no certainty of being right; that the negative may be true as well as the affirmative. He will grant that there is an inconsistency between such acts of detail and the principles of the Herakleitean doctrine, which recognize no real stability of any thing, but only perpetual flux or process; but inconsistency in detail will not induce him to set aside his principles. The truth is, that neither Herakleitus, nor Parmenides, nor Anaxagoras, nor Pythagoras, gave themselves much trouble to reconcile Philosophy with facts of detail. Each fastened upon some grand and impressive primary hypothesis, illustrated it by a few obvious facts in harmony therewith, and disregarded altogether the mass [The Author’s MS. breaks off here. What follows on the next page, as Chapter XII, is the exposition of Aristotle’s Psychology, originally contributed to the third edition of Professor Bain’s work ‘The Senses and the Intellect,’ in 1868.] |