Libro II, lezione XIAN AD ILLUD QUOD EST, NECESSARIUM ESSE, SEQUATUR ID QUOD EST, POSSIBILE ESSE?
Il testo di Aristotele
Dubitabit autem aliquis, si ad illud quod est, necessarium esse, illud quod est, possibile esse, sequatur. Nam si non sequatur, contradictio sequetur, quae est, non possibile esse: et si quis hanc non dicat esse contradictionem, necesse est dicere, possibile non esse: quae utraeque falsae sunt de necesse esse.
At vero rursus idem videtur esse possibile aliquid incidi et non incidi, et esse et non esse: quare erit necesse esse, contingens non esse. Hoc autem falsum est.
Manifestum est autem quod non omne possibile, vel esse, vel ambulare, etiam opposita potest; sed est in quibus non sit verum. Primum quidem in his quae non secundum rationem possunt; ut ignis calefactibilis est, et habet vim irrationalem. Quae igitur secundum rationem potestates sunt, eaedem plurium etiam contrariorum sunt. Irrationales vero non omnes: sed (quemadmodum dictum est) ignem non esse possibile calefacere et non; neque quaecunque alia semper agunt. Alia vero possunt, et secundum irrationales potestates simul opposita suscipere. Sed hoc huius gratia: dictum est, quoniam non omnis potestas oppositorum susceptiva est, neque quaecunque secundum eamdem speciem dicuntur.
La versione latina commentata da san Tommaso, nel testo dell'edizione leonina.
22b29It may be questioned whether the proposition ‘it may be’ follows from the proposition ‘it is necessary that it should 22b30be’. If not, the contradictory must follow, namely that it cannot be. or, if a man should maintain that this is not the contradictory, then the proposition ‘it may not be’.
22b32Now both of these are false of that which necessarily is. At the same time, it is thought that if a thing may be cut it may also not be cut, if a thing may be it may also not be, and thus it would follow that a thing which must 22b35necessarily be may possibly not be; which is false. It is evident, then, that it is not always the case that that which may be or may walk possesses also a potentiality in the other direction. There are exceptions. In the first place we must except those things which possess a potentiality not in accordance with a rational principle, as fire possesses the potentiality of giving out heat, that is, an irrational capacity. Those potentialities which involve a rational principle are potentialities of more than one result, 23athat is, of contrary results; those that are irrational are not always thus constituted. As I have said, fire cannot both heat and not heat, neither has anything that is always actual any twofold potentiality. Yet some3 even of those potentialities which are irrational admit of opposite results, 23a5However, thus much has been said to emphasize the truth that it is not every potentiality which admits of opposite results, even where the word is used always in the same sense.
I paragrafi del passo, nella traduzione di E. M. Edghill (The Works of Aristotle translated into English, ed. W. D. Ross, vol. I (Oxford: Clarendon Press, 1928)).
The consequences are rightly placed thus: “it happens to be,” follows, “it is possible to be,” and this reciprocates with that; also, “it is not impossible to be” and “it is not necessary to be.” But, “it is not necessary not to be,” and, “it1 is not impossible not to be;” follow, “it is possible not to be,” and, “it may happen not to be;” and, “it is necessary not to be,” and, “it is impossible to be,” follow, “it is not possible to be,” and, “it does not happen to be;” but, “it is necessary to be,” and also, “it is impossible not to be,” follow, “it is not possible not to be,” and, “it is not contingent not to be:” what we say however may be seen from the following description:
It is not impossible to be It is not necessary to be. 2 It is possible not to be It may happen not to be It is not impossible not to be It is not necessary not to be.
It is impossible to be It is necessary not to be. 4 It is not possible not to be It may happen not to be It is impossible not to be It is necessary to be.
Therefore the impossible, and the not impossi-ble, follow contradictorily the contingent, and the possible, and the non-contingent, and the not possible, and vice versâ; * for the negation of the impossible, namely, “ it is not impossible to be,” follows, “ it is possible to be,” but affirmation follows negation, for, “ it is im-possible to be ” follows “ it is not possible to be,” since “ it is impossible to be,” is affirmation, but, “ it is not impossible to be,” is negation.
Let us next see how it is with necessary matter, now it is evident that it does not subsist thus, but contraries follow, and contradictories (are placed) separately,2 for, “ it is not ne-cessary to be,” is not the negation of “ it is ne-cessary not to be,” since both, may possibly be true of the same thing, as that which necessarily, is not, need not of necessity, be. But the reason why the necessary follows not, in like manner, other propositions, is that the impossible being enunciated contrarily to the ne-cessary, signifies the same thing; for what it is impossible should exist, must not of necessity be, but not be, and what is impossible should not be, this must of necessity be; so that if these similarly follow the possible and the not possible, these (do so) in a contrary mode,3 since the necessary and the impossible do not signify the same thing, but, as we have said, vice versâ. Or is it impossible that the contradictories of the necessary should be thus disposed? for, what, “is necessary to be” is “possible to be,” since if not, negation would follow, as it is necessary either to affirm or deny, so that, if it is not possible to be, it is impossible to be, wherefore it would be impossible for that to be, which necessarily is, which is absurd, but the enunciation, “it is not impossible to be” follows the other, “it is possible to be,” which again is followed by, “it is not necessary to be,” whence it happens that what necessarily exists does not necessarily exist, which is absurd. But again neither does, “it is necessary to be” follow “it is possible to be,” nor does the proposition, “it is necessary not to be,” for to that, both, may occur, but whichever of these is true,4 those5 will be no longer true, for at one and the same time, it is possible to be, and not to be, but if it is necessary either to be or not to be, both, will not be possible. It remains therefore, that “it is not necessary not to be,” follows “it is possible to be;” for this6 is also true in respect of what is necessary to be, since this becomes the contradiction of that proposition which follows, viz. “it is not possible to be;” as “it is impossible to be,” and “it is necessary not to be,” follow that, of which the negation is, “it is not necessary not to be.” Wherefore these contradictions follow according to the above-mentioned mode, and nothing absurd results, when they are thus disposed.7 Still it may be doubted whether “it is possible to be,” follows “it is necessary to be,” for if it does not follow, the contradiction will be consequent, namely, “it is not possible to be,” and if a man should deny this to be a contradiction, it will be necessary to call, “it is possible not to be,” a contradiction, both which are false in respect of necessary matter. Nay, on the contrary, it appears to be possible that the same thing should “be cut” and “not be cut,” should “be” and “not be,” so that what necessarily “is,” may happen “not to be,” which is false. Nevertheless it is evident that not every thing which can “be,” and can “walk,” is capable also of the opposites, for in some cases this is not true. In the first place, in those things which are potent irrationally,8 as fire is calorific, and has irrational power; rational powers then are those of many things, and of the contraries; but not all irrational powers, for, as we have said, fire cannot heat, and not heat, nor such other things as always energize. Yet even some irrational powers can at the same time receive opposites; but this has been stated by us, because not every power is susceptible of contraries, not even such as are predicated, according to the same species. Moreover, some powers are equivocal, for the possible is not predicated, simply; but one thing is (called so), because it is true, as being in an energy, as it is possible for a man to walk, because he walks, and in short, a thing is possible to be, because that is already in energy which is said to be possible; on the other hand, another thing (is said to be possible), because it may be in energy; as it is possible to walk, because a man may walk. Now this power exists in movable natures only, but that in immovable; but with respect to both, it is true to say, that it is not impossible to walk or to be, and that a man is now walking and energizing, and has the power to walk, hence it is not true9 to predicate that which is thus possible, in respect of necessary matter, simply, but the other is true. Wherefore since the universal follows the particular, to be able to be, but not all ability, follows that which is of necessity, and indeed the necessary and the non-necessary may perhaps be the principle of the existence, or of the non-exist-ence of all things, and we should consider other things as consequent upon these.10 Hence from what we have stated, it is clear that whatever exists of necessity, is in energy, so that if eternal natures are prior in existence, energy also is prior to power, and some things, as the first substances, are energies without power, but others with power, namely, those which are prior by nature, but posterior in time: lastly, there are some which are never energies, but are capacities only.
I capitoli interi, nella traduzione di Octavius Freire Owen (London: George Bell & Sons, 1889 (Bohn's Classical Library), vol. I, from the plates of the first edition (London: H. G. Bohn, 1853), same pagination).
Il commento del Gaetano
1. Postquam Aristoteles declaravit modalium consequentias, hic movet quandam dubitationem circa unum eorum quae determinata sunt, scilicet quod possibile sequitur ad necesse. Et duo facit: quia primo dubitationem absolvit; secundo, ex determinata quaestione alium ordinem earumdem consequentiarum modalibus statuit; ibi: Et est fortasse etc. Circa primum duo facit: primo, movet quaestionem; secundo, determinat eam; ibi: Manifestum est etc. Movet ergo quaestionem: primo dicens: Dubitabit autem aliquis si ad id quod est necesse esse sequatur possibile esse; et secundo, arguit ad partem affirmativam subdens: Nam si non sequatur, contradictoria eius sequetur, scilicet non possibile esse, ut supra deductum est: quia de quolibet est affirmatio vel negatio vera. Et si quis dicat hanc, scilicet, non possibile esse, non esse contradictoriam illius, scilicet, possibile esse, et propterea subterfugiendum velit argumentum, et dicere quod neutra harum sequitur ad necesse esse; talis licet falsum dicat, tamen concedatur sibi, quoniam necesse erit ipsum dicere illius contradictoriam fore, possibile non esse. Oportet namque aut non possibile esse aut possibile non esse, esse contradictoriam, possibile esse; et tunc in eumdem redibit errorem, quoniam utraeque, scilicet, non possibile esse et possibile non esse, falsae sunt de eo quod est, necesse esse. Et consequenter ad ipsum neutra sequi potest. Nulla enim enunciatio sequitur ad illam, cuius veritatem destruit. Relinquitur ergo quod, ad necesse esse sequitur possibile esse.
2. Tertio, arguit ad partem negativam cum subdit: At vero rursus etc., et intendit talem rationem. Si ad necesse esse sequitur possibile esse, cum ad possibile sequatur possibile non esse (per conversionem in oppositam qualitatem, ut dicitur in I Priorum, quia idem est possibile esse et non esse), sequetur de primo ad ultimum quod necesse esse est possibile non esse: quod est falsum manifeste. Unde oppositionis hypothesim subdit: At vero rursus videtur idem possibile esse et non esse, ut domus, et possibile incidi et non incidi, ut vestis. Quare de primo ad ultimum necesse esse, erit contingens non esse. Hoc autem est falsum. Ergo hypothesis illa, scilicet, quod possibile sequatur ad necesse, est falsa.
3. Deinde cum dicit: Manifestum est autem etc., respondet dubitationi. Et primo, declarat veritatem simpliciter; secundo, applicat ad propositum; ibi: Hoc igitur possibile etc. Proponit ergo primo ipsam veritatem declarandam, dicens: Manifestum est autem, ex dicendis, quod non omne possibile esse vel ambulare, idest operari: idest, non omne possibile secundum actum primum vel secundum ad opposita valet, idest ad opposita viam habet, sed est invenire aliqua possibilia, in quibus non sit verum dicere quod possunt in opposita. Deinde, quia possibile a potentia nascitur, manifestat qualiter se habeat potentia ipsa ad opposita: ex hoc enim clarum erit quomodo possibile se habeat ad opposita. Et circa hoc duo facit: primo manifestat hoc in potentiis eiusdem rationis; secundo, in his quae aequivoce dicuntur potentiae; ibi: Quasdam vero potentiae etc. Circa primum tria facit: quia primo manifestat qualiter potentia irrationalis se habeat ad opposita; et ait quod potentia irrationalis non potest in opposita.
4. Ubi notandum est quod, sicut dicitur IX Metaphys., potentia activa, cum nihil aliud sit quam principium quo in aliud agimus, dividitur in potentiam rationalem et irrationalem. Potentia rationalis est, quae cum ratione et electione operatur; sicut ars medicinae, qua medicus cognoscens quid sanando expediat infirmo, et volens applicat remedia. Potentia autem irrationalis vocatur illa, quae non ex ratione et libertate operatur, sed ex naturali sua dispositione; sicut calor ignis potentia irrationalis est, quia calefacit, non ut cognoscit et vult, sed ut natura sua exigit. Assignatur autem ibidem duplex differentia proposito deserviens inter istas potentias. - Prima est quod activa potentia irrationalis non potest duo opposita, sed est determinata ad unum oppositorum, sive sumatur oppositum contradictorie sive contrarie. Verbi gratia: calor non potest calefacere et non calefacere, quae sunt contradictorie opposita, neque potest calefacere et frigefacere, quae sunt contraria, sed ad calefactionem determinatus est. Et hoc intellige per se, quia per accidens calor frigefacere potest, vel resolvendo materiam caloris, humidum scilicet, vel per antiperistasin contrarii. Et similiter potest non calefacere per accidens, scilicet si calefactibile deest. Potentia autem rationalis potest in opposita et contradictorie et contrarie. Arte siquidem medicinae potest medicus adhibere remedia et non adhibere, quae sunt contradictoria; et adhibere remedia sana et nociva, quae sunt contraria. – Secunda differentia est quod potentia activa irrationalis, praesente passo, necessario operatur, deductis impedimentis: calor enim calefactibile sibi praesens calefacit necessario, si nihil impediat; potentia autem rationalis, passo praesente, non necessario operatur: praesente siquidem infirmo, non cogitur medicus remedia adhibere.
5. Dimittantur autem metaphysico harum differentiarum rationes et ad textum redeamus. Ubi narrans quomodo se habeat potentia irrationalis ad oppositum, ait: Et primum quidem, scilicet, non est verum dicere quod sit potentia ad opposita in his quae possunt non secundum rationem, idest, in his quorum posse est per potentias irrationales; ut ignis calefactivus est, idest, potens calefacere, et habet vim, idest, potentiam istam irrationalem. Ignis siquidem non potest frigefacere; neque in eius potestate est calefacere et non calefacere. Quod autem dixit primum ordinem, nota, ad secundum genus possibilis infra dicendum, in quo etiam non invenitur potentia ad opposita.
6. Secundo, manifestat quomodo potentia rationalis se habeat ad opposita, intendens quod potentia rationalis potest in opposita. Unde subdit: Ergo potestates secundum rationem, idest rationales, ipsae eaedem sunt contrariorum, non solum duorum, sed etiam plurimorum, ut arte medicinae medicus plurima iuga contrariorum adhibere potest, et a multarum operationum contradictionibus abstinere potest. Praeposuit autem ly ergo, ut hoc consequi ex dictis insinuaret: cum enim oppositorum oppositae sint proprietates, et potentia irrationalis ex eo quod irrationalis ad opposita non se extendat; oportet potentiam rationalem ad opposita viam habere, eo quod rationalis sit.
7. Tertio, explanat id quod dixit de potentiis irrationalibus, propter causam infra assignandam ab ipso; et intendit quod illud quod dixit de potentia irrationali, scilicet quod non potest in opposita, non est verum universaliter, sed particulariter. – Ubi nota quod potentia irrationalis dividitur in potentiam activam, quae est principium faciendi, et potentiam passivam, quae est principium patiendi: verbi gratia, potentia ad calorem dividitur in posse calefacere, et in posse calefieri. In potentiis activis irrationalibus verum est quod non possunt in opposita, ut declaratum est; in potentiis autem passivis non est verum. Illud enim quod potest calefieri, potest etiam frigefieri, quia eadem est materia, seu potentia passiva contrariorum, ut dicitur in II De caelo et mundo, et potest non calefieri, quia idem est subiectum privationis et formae, ut dicitur in I Physic. Et propter hoc ergo explanando, ait: Irrationales vero potentiae non omnes a posse in opposita excludi intelligendae sunt, sed illae quae sunt quemadmodum potentia ignis calefactiva (ignem enim non posse non calefacere manifestum est), et universaliter, quaecunque alia sunt talis potentiae, quod semper agunt, idest quod quantum est ex se non possunt non agere, sed ad semper agendum ex sua forma necessitantur. Huiusmodi autem sunt, ut declaravimus, omnes potentiae activae irrationales. Alia vero sunt talis conditionis quod etiam secundum irrationales potentias, scilicet passivas, simul possunt in quaedam opposita, ut aer potest calefieri et frigefieri. Quod vero ait, simul, cadit supra ly possunt, et non supra ly opposita; et est sensus, quod simul aliquid habet potentiam passivam ad utrunque oppositorum, et non quod habeat potentiam passivam ad utrunque oppositorum simul habendum. Opposita namque impossibile est haberi simul. Unde et dici solet et bene, quod in huiusmodi est simultas potentiae, non potentia simultatis. Irrationalis igitur potentia non secundum totum suum ambitum a posse in opposita excluditur, sed secundum partem eius, secundum potentias scilicet activas.
8. Quia autem videbatur superflue addidisse differentias inter activas et passivas irrationales, quia sat erat proposito ostendisse quod non omnis potentia oppositorum est; ideo subdit quod hoc idcirco dictum est, ut notum fiat quoniam nedum non omnis potestas oppositorum est, loquendo de potentia communissime, sed neque quaecunque potentiae dicuntur secundum eamdem speciem ad opposita possunt. Potentiae siquidem irrationales omnes sub una specie irrationalis potentiae concluduntur, et tamen non omnes in opposita possunt, sed passive tantum. Non supervacanea ergo fuit differentia inter passivas et activas irrationales, sed necessaria ad declarandum quod non omnes potentiae eiusdem speciei possunt in opposita. Potest et ly hoc demonstrare utranque differentiam, scilicet, inter rationales et irrationales, et inter irrationales activas et passivas inter se; et tunc est sensus, quod hoc ideo fecimus, ut ostenderemus quod non omnis potestas, quae scilicet secundum eamdem rationem potentiae physicae dicitur, quia scilicet potest in aliquid ut rationalis et irrationalis, neque etiam omnis potestas, quae sub eadem specie continetur, ut irrationalis activa et passiva sub specie irrationalis, ad opposita potest.
Di questo commento non esiste una traduzione inglese di pubblico dominio: qui si dà il latino.