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Aristotle

George Grote

15. Respecting Contradictory Propositions (affirmation and negation of the same), more than one mode of dealing may be stated. Wherever the affirmation is a proprium of the subject, the negation cannot also be a proprium thereof; and _vice versâ_. If the affirmative predicate be not a proprium of the affirmative subject, neither can the negative predicate be proprium of the negative subject; and _vice versâ_. If the affirmative predicate be proprium of the affirmative subject, the negative predicate will also be proprium of the negative subject. The same predicate cannot be proprium both of the affirmative subject and of the negative subject.[241] [Footnote 241: Ibid. p. 136, a. 5-b. 2. This _locus_ is declared by Aristotle to furnish arguments for refutation only, and not for proof.] 16. Respecting two or more Contra-Specific Terms under the same genus and exhausting the whole genus:--Suppose A and B contra-specific terms used as subjects; C and D contra-specific terms used as predicates. If C be not a proprium of A, neither will D be a proprium of B; thus, if perceivable ([Greek: ai)sthêto/n]) is not a proprium of any other species (except gods) included under the genus animal, neither will intelligible ([Greek: noêto/n]) be proprium of a god. Again, if C be a proprium of A, D also will be a proprium of B. Thus, if it be a proprium of prudence to be by its own nature the excellence of the rational or calculating soul ([Greek: logistikou=]), we must also affirm as proprium of temperance that it is the excellence of the appetitive soul ([Greek: e)pithumêtikou=]).[242] [Footnote 242: Topic. V. vi. p. 136, b. 3-13. "Il faut supposer ici quatre termes, qui sont deux à deux les membres d'une division: si le premier n'est pas le propre du troisième, le second ne le sera pas du quatrième; et réciproquement pour la négation d'abord. Les quatre termes sont ici: sensible, intelligible, membres d'une même division: mortel, divinité, membres d'une autre division." (Barthélemy St. Hilaire, p. 197.)] 17. Respecting Cases or Inflections, either of the subject B, or the predicate A:--If the case or inflection of the predicate be not a proprium of the corresponding case or inflection of the subject, neither will the predicate be proprium of the subject. If the case or inflection of the predicate be a proprium of the corresponding case or inflection of the subject, then the predicate itself will also be proprium of the subject. _Pulchré_ is not proprium of _justé_; therefore, _pulchrum_ is not proprium of _justum_. This _locus_ will be found available in combination with the preceding _locus_ bearing on _Opposita_. Not only _opposita_ themselves, but also the cases and inflections of _opposita_, may be adduced as arguments, following the rules above laid down.[243] [Footnote 243: Topica, V. vii. p. 136, b. 15-32.] 18. Analogous cases or propositions:--If the respondent affirms A as proprium of B, you have an argument against him by showing that something analogous to A is not proprium of a subject analogous to B. Thus, the builder, in relation to house-making, is analogous to the physician, in relation to health-making; now health-making is not the proprium of the physician, and therefore neither is house-making the proprium of the builder. If the respondent has advanced a negative, you will apply this same _locus_ in the affirmative against him: _e.g._, as it is the proprium of the gymnast to impart a good habit of body, so it is the proprium of the physician to impart health.[244] [Footnote 244: Ibid. b. 33-p. 137, a. 7.] 19. _Esse_, and _Generari_ or _Fieri_:--If A considered as _Ens_ is not the proprium of B considered as _Ens_, then neither will A considered as _Fiens_ be the proprium of B considered as _Fiens_. _Vice versâ_, on the affirmative side: if the former of these two be the fact, you may argue that the latter is the fact also.[245] [Footnote 245: Topic. V. vii. p. 137, a. 21-b. 2.] 20. Comparison with the Idea:--If the respondent sets up A as proprium of B, you will turn your mind to the Idea of B, and note whether A is proprium of this Idea, in the same sense and under the same aspect as it is affirmed to be proprium of B. If it be not so, you will have an argument in refutation of the respondent. Thus, if he maintains that it is a proprium of man to be at rest, you will argue that this cannot be so, because to be at rest is not the proprium of the Self-man ([Greek: au)toa/nthrôpos]) _quatenus_ man, but _quatenus_ Idea. _Vice versâ_, you will have an affirmative argument, if you can show that it is the proprium of the Idea. Thus, since it is a proprium of the self-animal _quatenus_ animal to be composed of soul and body, you may infer that to be composed of soul and body is really a proprium of animal.[246] [Footnote 246: Ibid. b. 3-13.] 21. _Locus_ from More and Less:--Suppose the respondent to affirm A as proprium of B: you will have an argument against him, if you can show that what is more A is not proprium of that which is more B. Thus, if to be more coloured is not proprium of that which is more body, neither is to be less coloured proprium of that which is less body; nor is to be coloured proprium of body simply. _Vice versâ_, if you can show that what is more A is proprium of what is more B, you will have an affirmative argument to establish that A is proprium of B. Thus, to perceive more is proprium of that which is more living. Hence, to perceive simply is proprium of that which is living simply; also, to perceive most, least, or less, is proprium of that which is most, least, or less living, respectively.[247] [Footnote 247: Ibid. viii. p. 137, b. 14-27.] If you can show that A simply is not proprium of B simply, you have an argument to establish that what is more or less A is not proprium of that which is more or less B. If, on the other land, you show the affirmative of the first, this will be an argument sustaining the affirmative of the last.[248] Perhaps you can show that what is more A is not proprium of what is more B: this will be an argument to show that A is not proprium of B. Thus, to perceive is more proprium of animal than to know is proprium of man; but to perceive is not proprium of animal; therefore, to know is not proprium of man. Or again, if you can show that what is less A is proprium of what is less B, this will form an argument to show that A is proprium of B. Thus, natural mansuetude is less proprium of man than life is proprium of animal; but natural mansuetude _is_ proprium of man: therefore life is proprium of animal.[249] Farther, if you can show that A is more a proprium of C than it is a proprium of B, yet nevertheless that it is not a proprium of C you may thence argue that A is not a proprium of B. Thus, to be coloured is more a proprium of superficies than it is a proprium of body; yet it is not a proprium of superficies; therefore, it is _not_ a proprium of body. This last variety of the _locus_ of More and Less (Aristotle remarks) affords no corresponding affirmative plea;[250] for the same predicate cannot be a proprium of many subjects. If A be really a proprium of superficies, it cannot be also proprium of body. Lastly, you may perhaps be able to show that C is more a proprium of B than A is a proprium of B; yet, if C is _not_ a proprium of B, you will infer negatively that neither is A proprium of B. Thus, to be perceivable is more proprium of animal, than to be divisible is proprium of animal; yet to be perceivable is _not_ proprium of animal, and, therefore, neither is to be divisible proprium of animal. You may invert this argument for the affirmative, if you can show that C is less a proprium of B than A is a proprium of B, yet still that C _is_ a proprium of B; hence you will infer, _à fortiori_, that A is a proprium thereof. _E.g._, If to perceive is less a proprium of animal than to live is a proprium thereof, yet to perceive _is_ a proprium of animal; then, to live is so likewise.[251] [Footnote 248: Ibid. b. 28-p. 138, a. 3.] [Footnote 249: Topica, V. viii. p. 138, a. 4-12.] [Footnote 250: Ibid. p. 138, a. 13-20: [Greek: kataskeua/zonti de\ o( to/pos ou(=tos ou)/k e)sti chrê/simos; a)du/naton ga/r e)sti tau)to\ pleio/nôn i)/dion ei)=nai.]] [Footnote 251: Ibid. a. 21-30.] 22. _Locus_ from Equal Relation:--Arguments both negative and affirmative may in like manner be obtained by comparing different things which are (not more or less propria, but) alike or equally propria of some other subject. If A is as much a proprium of B as C is proprium of D, while yet A is _not_ a proprium of B, you may hence infer that C is not a proprium of D. If, under this hypothesis, A _is_ a proprium of B, you may infer affirmatively that C is a proprium of D.[252] Or, if A and C be, alike and equally, propria of the same subject B, then, if you show that A is not proprium thereof, you will infer negatively that C is not so; if you show that A _is_ proprium of B, you will infer affirmatively that C is so likewise. Or, thirdly, if A be, alike and equally, a proprium of B and of E, then, if you can show that A is _not_ a proprium of E, you may infer negatively that it is _not_ a proprium of B. Here, however, the counter-inference affirmatively is not allowable; for the same proprium cannot belong as proprium to two distinct subjects, as was stated before.[253] [Footnote 252: Ibid. a. 30-b. 15.] [Footnote 253: Ibid. b. 16-22.] 23. _Locus_ from Potentiality:--No potentiality whatever can belong to _Non-Ens_. Accordingly, if A, the proprium affirmed of a subject B, is a potentiality, this must imply some real _Ens_ in which it inheres, and which is correlate to the subject. But, if in the specification of the proprium no allusion is made to such correlate, you will attack it as a bad proprium--as a potentiality inhering in _Non-Ens_ or nothing. _E.g._, if the case be, It is a proprium of air to be respirable, you will refute this by pointing out that this is true only when there exist animals in whom the potentiality of breathing resides; that no mention is made by the respondent of this correlate or of any other correlate; in other words, that, so far as the specification is concerned, the correlate is passed over as _Non-Ens_ or a non-entity. Therefore the proprium is not a good proprium.[254] Again, suppose the affirmation to be, It is a proprium of _Ens_ to be capable of doing or suffering something; this will be defensible because it is only when the subject _is Ens_, that it is declared to have such proprium.[255] [Footnote 254: Topica, V. ix. p. 138, b. 27-37. [Greek: oi(=on e)pei\ o( ei)/pas a)e/ros i)/dion to\ a)napneusto/n tê=| duna/mei me\n a)pe/dôke to\ i)/dion (to\ ga\r toiou=ton i)/dion _oi(=on a)napnei=sthai_ a)napneusto/n e)stin), a)pode/dôke de\ kai\ pro\s to\ mê\ o(\n to\ i)/dion; kai\ ga\r mê\ o)/ntos zô/|ou, oi(=on a)napnei=n pe/phuke to\n a)e/ra, e)nde/chetai a)e/ra ei)=nai; ou) me/ntoi mê\ o)/ntos zô/|ou dunato/n e)stin a)napnei=n; ô(/st' ou)d' a)e/ros e)/stai i)/dion to\ toiou=ton oi(=on a)napnei=sthai, _to/te o(/te_ zô/|on ou)k e)/stai toiou=ton oi(=on a)napnei=n. ou)k a)\n ou)=n ei)/ê a)e/ros i)/dion to\ a)napneusto/n.] _Respirability_ (the proprium here discussed) being a relative term, Aristotle demands that the correlate thereof shall be named and included in setting out the proprium. If this be not done, a refutative argument may be drawn from such omission--that the respondent was not aware of the relativity. We may remark here that this objection is founded on a bad or incomplete specification of the proprium in question: it is not an objection against the reality of that proprium itself, if carefully described. The objection belongs