Articulus 2
Article 2
Utrum unum et multa opponantur
Whether one and many are opposed to each other?
Ad secundum sic proceditur. Videtur quod unum et multa non opponantur. Nullum enim oppositum praedicatur de suo opposito. Sed omnis multitudo est quodammodo unum, ut ex praedictis patet. Ergo unum non opponitur multitudini.
Objection 1: It seems that one and many are not mutually opposed. For no opposite thing is predicated of its opposite. But every multitude is in a certain way one, as appears from the preceding article. Therefore one is not opposed to multitude.
Praeterea, nullum oppositum constituitur ex suo opposito. Sed unum constituit multitudinem. Ergo non opponitur multitudini.
Obj. 2: Further, no opposite thing is constituted by its opposite. But multitude is constituted by one. Therefore it is not opposed to multitude.
Praeterea, unum uni est oppositum. Sed multo opponitur paucum. Ergo non opponitur ei unum.
Obj. 3: Further, one is opposed to one. But the idea of few is opposed to many. Therefore one is not opposed to many.
Praeterea, si unum opponitur multitudini, opponitur ei sicut indivisum diviso, et sic opponetur ei ut privatio habitui. Hoc autem videtur inconveniens, quia sequeretur quod unum sit posterius multitudine, et definiatur per eam; cum tamen multitudo definiatur per unum. Unde erit circulus in definitione, quod est inconveniens. Non ergo unum et multa sunt opposita.
Obj. 4: Further, if one is opposed to multitude, it is opposed as the undivided is to the divided; and is thus opposed to it as privation is to habit. But this appears to be incongruous; because it would follow that one comes after multitude, and is defined by it; whereas, on the contrary, multitude is defined by one. Hence there would be a vicious circle in the definition; which is inadmissible. Therefore one and many are not opposed.
Sed contra, quorum rationes sunt oppositae, ipsa sunt opposita. Sed ratio unius consistit in indivisibilitate, ratio vero multitudinis divisionem continet. Ergo unum et multa sunt opposita.
On the contrary, Things which are opposed in idea, are themselves opposed to each other. But the idea of one consists in indivisibility; and the idea of multitude contains division. Therefore one and many are opposed to each other.
Respondeo dicendum quod unum opponitur multis, sed diversimode. Nam unum quod est principium numeri, opponitur multitudini quae est numerus, ut mensura mensurato, unum enim habet rationem primae mensurae, et numerus est multitudo mensurata per unum, ut patet ex X Metaphys. Unum vero quod convertitur cum ente, opponitur multitudini per modum privationis, ut indivisum diviso.
I answer that, One is opposed to many, but in various ways. The one which is the principle of number is opposed to multitude which is number, as the measure is to the thing measured. For one implies the idea of a primary measure; and number is multitude measured by one, as is clear from Metaph. x. But the one which is convertible with being is opposed to multitude by way of privation; as the undivided is to the thing divided.
Ad primum ergo dicendum quod nulla privatio tollit totaliter esse, quia privatio est negatio in subiecto, secundum Philosophum. Sed tamen omnis privatio tollit aliquod esse. Et ideo in ente, ratione suae communitatis, accidit quod privatio entis fundatur in ente, quod non accidit in privationibus formarum specialium, ut visus vel albedinis, vel alicuius huiusmodi. Et sicut est de ente, ita est de uno et bono, quae convertuntur cum ente, nam privatio boni fundatur in aliquo bono, et similiter remotio unitatis fundatur in aliquo uno. Et exinde contingit quod multitudo est quoddam unum, et malum est quoddam bonum, et non ens est quoddam ens. Non tamen oppositum praedicatur de opposito, quia alterum horum est simpliciter, et alterum secundum quid. Quod enim secundum quid est ens, ut in potentia, est non ens simpliciter, idest actu, vel quod est ens simpliciter in genere substantiae, est non ens secundum quid, quantum ad aliquod esse accidentale. Similiter ergo quod est bonum secundum quid, est malum simpliciter; vel e converso. Et similiter quod est unum simpliciter, est multa secundum quid; et e converso.
Reply Obj. 1: No privation entirely takes away the being of a thing, inasmuch as privation means negation in the subject, according to the Philosopher (Categor. viii). Nevertheless every privation takes away some being; and so in being, by reason of its universality, the privation of being has its foundation in being; which is not the case in privations of special forms, as of sight, or of whiteness and the like. And what applies to being applies also to one and to good, which are convertible with being, for the privation of good is founded in some good; likewise the removal of unity is founded in some one thing. Hence it happens that multitude is some one thing; and evil is some good thing, and non-being is some kind of being. Nevertheless, opposite is not predicated of opposite; forasmuch as one is absolute, and the other is relative; for what is relative being (as a potentiality) is non-being absolutely, i.e., actually; or what is absolute being in the genus of substance is non-being relatively as regards some accidental being. In the same way, what is relatively good is absolutely bad, or vice versa; likewise what is absolutely one is relatively many, and vice versa.
Ad secundum dicendum quod duplex est totum, quoddam homogeneum, quod componitur ex similibus partibus; quoddam vero heterogeneum, quod componitur ex dissimilibus partibus. In quolibet autem toto homogeneo, totum constituitur ex partibus habentibus formam totius, sicut quaelibet pars aquae est aqua, et talis est constitutio continui ex suis partibus. In quolibet autem toto heterogeneo, quaelibet pars caret forma totius, nulla enim pars domus est domus, nec aliqua pars hominis est homo. Et tale totum est multitudo. Inquantum ergo pars eius non habet formam multitudinis, componitur multitudo ex unitatibus, sicut domus ex non domibus, non quod unitates constituant multitudinem secundum id quod habent de ratione indivisionis, prout opponuntur multitudini; sed secundum hoc quod habent de entitate, sicut et partes domus constituunt domum per hoc quod sunt quaedam corpora, non per hoc quod sunt non domus.
Reply Obj. 2: A whole is twofold. In one sense it is homogeneous, composed of like parts; in another sense it is heterogeneous, composed of dissimilar parts. Now in every homogeneous whole, the whole is made up of parts having the form of the whole; as, for instance, every part of water is water; and such is the constitution of a continuous thing made up of its parts. In every heterogeneous whole, however, every part is wanting in the form belonging to the whole; as, for instance, no part of a house is a house, nor is any part of a man a man. Now multitude is such a kind of a whole. Therefore inasmuch as its part has not the form of the multitude, the latter is composed of unities, as a house is composed of not houses; not, indeed, as if unities constituted multitude so far as they are undivided, in which way they are opposed to multitude; but so far as they have being, as also the parts of a house make up the house by the fact that they are beings, not by the fact that they are not houses.
Ad tertium dicendum quod multum accipitur dupliciter. Uno modo, absolute, et sic opponitur uni. Alio modo, secundum quod importat excessum quendam, et sic opponitur pauco. Unde primo modo duo sunt multa; non autem secundo.
Reply Obj. 3: Many is taken in two ways: absolutely, and in that sense it is opposed to one; in another way as importing some kind of excess, in which sense it is opposed to few; hence in the first sense two are many but not in the second sense.
Ad quartum dicendum quod unum opponitur privative multis, inquantum in ratione multorum est quod sint divisa. Unde oportet quod divisio sit prius unitate, non simpliciter, sed secundum rationem nostrae apprehensionis. Apprehendimus enim simplicia per composita, unde definimus punctum, cuius pars non est, vel principium lineae. Sed multitudo, etiam secundum rationem, consequenter se habet ad unum, quia divisa non intelligimus habere rationem multitudinis, nisi per hoc quod utrique divisorum attribuimus unitatem. Unde unum ponitur in definitione multitudinis, non autem multitudo in definitione unius. Sed divisio cadit in intellectu ex ipsa negatione entis. Ita quod primo cadit in intellectu ens; secundo, quod hoc ens non est illud ens, et sic secundo apprehendimus divisionem; tertio, unum; quarto, multitudinem.
Reply Obj. 4: One is opposed to many privatively, inasmuch as the idea of many involves division. Hence division must be prior to unity, not absolutely in itself, but according to our way of apprehension. For we apprehend simple things by compound things; and hence we define a point to be, what has no part, or the beginning of a line. Multitude also, in idea, follows on one; because we do not understand divided things to convey the idea of multitude except by the fact that we attribute unity to every part. Hence one is placed in the definition of multitude; but multitude is not placed in the definition of one. But division comes to be understood from the very negation of being: so what first comes to mind is being; second, that this being is not that being, and thus we apprehend division as a consequence; third, comes the notion of one; fourth, the notion of multitude.
Articulus 3
Article 3
Utrum Deus sit unus
Whether God is one?
Ad tertium sic proceditur. Videtur quod Deus non sit unus. Dicitur enim I ad Cor. VIII, siquidem sunt dii multi et domini multi.
Objection 1: It seems that God is not one. For it is written For there be many gods and many lords (1 Cor 8:5).
Praeterea, unum quod est principium numeri, non potest praedicari de Deo, cum nulla quantitas de Deo praedicetur. Similiter nec unum quod convertitur cum ente, quia importat privationem, et omnis privatio imperfectio est, quae Deo non competit. Non est igitur dicendum quod Deus sit unus.
Obj. 2: Further, One, as the principle of number, cannot be predicated of God, since quantity is not predicated of God; likewise, neither can one which is convertible with being be predicated of God, because it imports privation, and every privation is an imperfection, which cannot apply to God. Therefore God is not one.
Sed contra est quod dicitur Deut. VI, audi, Israel, dominus Deus tuus unus est.
On the contrary, It is written Hear, O Israel, the Lord our God is one Lord (Deut 6:4).
Respondeo dicendum quod Deum esse unum, ex tribus demonstratur.
I answer that, It can be shown from these three sources that God is one.
Primo quidem ex eius simplicitate. Manifestum est enim quod illud unde aliquod singulare est hoc aliquid, nullo modo est multis communicabile. Illud enim unde Socrates est homo, multis communicari potest, sed id unde est hic homo, non potest communicari nisi uni tantum. Si ergo Socrates per id esset homo, per quod est hic homo, sicut non possunt esse plures Socrates, ita non possent esse plures homines. Hoc autem convenit Deo, nam ipse Deus est sua natura, ut supra ostensum est. Secundum igitur idem est Deus, et hic Deus. Impossibile est igitur esse plures deos.
First from His simplicity. For it is manifest that the reason why any singular thing is this particular thing is because it cannot be communicated to many: since that whereby Socrates is a man, can be communicated to many; whereas, what makes him this particular man, is only communicable to one. Therefore, if Socrates were a man by what makes him to be this particular man, as there cannot be many Socrates, so there could not in that way be many men. Now this belongs to God alone; for God Himself is His own nature, as was shown above (Q. 3, A. 3). Therefore, in the very same way God is God, and He is this God. Impossible is it therefore that many Gods should exist.
Secundo vero, ex infinitate eius perfectionis. Ostensum est enim supra quod Deus comprehendit in se totam perfectionem essendi. Si ergo essent plures dii, oporteret eos differre. Aliquid ergo conveniret uni, quod non alteri. Et si hoc esset privatio, non esset simpliciter perfectus, si autem hoc esset perfectio, alteri eorum deesset. Impossibile est ergo esse plures deos. Unde et antiqui philosophi, quasi ab ipsa coacti veritate, ponentes principium infinitum, posuerunt unum tantum principium.
Second, this is proved from the infinity of His perfection. For it was shown above (Q. 4, A. 2) that God comprehends in Himself the whole perfection of being. If then many gods existed, they would necessarily differ from each other. Something therefore would belong to one which did not belong to another. And if this were a privation, one of them would not be absolutely perfect; but if a perfection, one of them would be without it. So it is impossible for many gods to exist. Hence also the ancient philosophers, constrained as it were by truth, when they asserted an infinite principle, asserted likewise that there was only one such principle.
Tertio, ab unitate mundi. Omnia enim quae sunt, inveniuntur esse ordinata ad invicem, dum quaedam quibusdam deserviunt. Quae autem diversa sunt, in unum ordinem non convenirent, nisi ab aliquo uno ordinarentur. Melius enim multa reducuntur in unum ordinem per unum, quam per multa, quia per se unius unum est causa, et multa non sunt causa unius nisi per accidens, inquantum scilicet sunt aliquo modo unum. Cum igitur illud quod est primum, sit perfectissimum et per se, non per accidens, oportet quod primum reducens omnia in unum ordinem, sit unum tantum. Et hoc est Deus.
Third, this is shown from the unity of the world. For all things that exist are seen to be ordered to each other since some serve others. But things that are diverse do not harmonize in the same order, unless they are ordered thereto by one. For many are reduced into one order by one better than by many: because one is the per se cause of one, and many are only the accidental cause of one, inasmuch as they are in some way one. Since therefore what is first is most perfect, and is so per se and not accidentally, it must be that the first which reduces all into one order should be only one. And this one is God.
Ad primum ergo dicendum quod dicuntur dii multi secundum errorem quorundam qui multos deos colebant, existimantes planetas et alias stellas esse deos, vel etiam singulas partes mundi. Unde subdit, nobis autem unus Deus, et cetera.
Reply Obj. 1: Gods are called many by the error of some who worshipped many deities, thinking as they did that the planets and other stars were gods, and also the separate parts of the world. Hence the Apostle adds: Our God is one, etc.
Ad secundum dicendum quod unum secundum quod est principium numeri, non praedicatur de Deo; sed solum de his quae habent esse in materia. Unum enim quod est principium numeri, est de genere mathematicorum; quae habent esse in materia, sed sunt secundum rationem a materia abstracta. Unum vero quod convertitur cum ente, est quoddam metaphysicum, quod secundum esse non dependet a materia. Et licet in Deo non sit aliqua privatio, tamen, secundum modum apprehensionis nostrae, non cognoscitur a nobis nisi per modum privationis et remotionis. Et sic nihil prohibet aliqua privative dicta de Deo praedicari; sicut quod est incorporeus, infinitus. Et similiter de Deo dicitur quod sit unus.
Reply Obj. 2: One which is the principle of number is not predicated of God, but only of material things. For one the principle of number belongs to the genus of mathematics, which are material in being, and abstracted from matter only in idea. But one which is convertible with being is a metaphysical entity and does not depend on matter in its being. And although in God there is no privation, still, according to the mode of our apprehension, He is known to us by way only of privation and remotion. Thus there is no reason why a certain kind of privation should not be predicated of God; for instance, that He is incorporeal and infinite; and in the same way it is said of God that He is one.
Articulus 4
Article 4
Utrum Deus sit maxime unus
Whether God is supremely one?
Ad quartum sic proceditur. Videtur quod Deus non sit maxime unus. Unum enim dicitur secundum privationem divisionis. Sed privatio non recipit magis et minus. Ergo Deus non dicitur magis unus quam alia quae sunt unum.
Objection 1: It seems that God is not supremely one. For one is so called from the privation of division. But privation cannot be greater or less. Therefore God is not more one than other things which are called one.
Praeterea, nihil videtur esse magis indivisibile quam id quod est indivisibile actu et potentia, cuiusmodi est punctus et unitas. Sed intantum dicitur aliquid magis unum, inquantum est indivisibile. Ergo Deus non est magis unum quam unitas et punctus.
Obj. 2: Further, nothing seems to be more indivisible than what is actually and potentially indivisible; such as a point and unity. But a thing is said to be more one according as it is indivisible. Therefore God is not more one than unity is one and a point is one.
Praeterea, quod est per essentiam bonum, est maxime bonum, ergo quod est per essentiam suam unum, est maxime unum. Sed omne ens est unum per suam essentiam, ut patet per Philosophum in IV Metaphys. Ergo omne ens est maxime unum. Deus igitur non est magis unum quam alia entia.
Obj. 3: Further, what is essentially good is supremely good. Therefore what is essentially one is supremely one. But every being is essentially one, as the Philosopher says (Metaph. iv). Therefore every being is supremely one; and therefore God is not one more than any other being is one.
Sed contra est quod dicit Bernardus, quod inter omnia quae unum dicuntur, arcem tenet unitas divinae Trinitatis.
On the contrary, Bernard says (De Consid. v): Among all things called one, the unity of the Divine Trinity holds the first place.
Respondeo dicendum quod, cum unum sit ens indivisum, ad hoc quod aliquid sit maxime unum, oportet quod sit et maxime ens et maxime indivisum. Utrumque autem competit Deo. Est enim maxime ens, inquantum est non habens aliquod esse determinatum per aliquam naturam cui adveniat, sed est ipsum esse subsistens, omnibus modis indeterminatum. Est autem maxime indivisum, inquantum neque dividitur actu neque potentia, secundum quemcunque modum divisionis, cum sit omnibus modis simplex, ut supra ostensum est. Unde manifestum est quod Deus est maxime unus.
I answer that, Since one is an undivided being, if anything is supremely one it must be supremely being, and supremely undivided. Now both of these belong to God. For He is supremely being, inasmuch as His being is not determined by any nature to which it is adjoined; since He is being itself, subsistent, absolutely undetermined. But He is supremely undivided inasmuch as He is divided neither actually nor potentially, by any mode of division; since He is altogether simple, as was shown above (Q. 3, A. 7). Hence it is manifest that God is one in the supreme degree.
Ad primum ergo dicendum quod, licet privatio secundum se non recipiat magis et minus, tamen secundum quod eius oppositum recipit magis et minus, etiam ipsa privativa dicuntur secundum magis et minus. Secundum igitur quod aliquid est magis divisum vel divisibile, vel minus, vel nullo modo, secundum hoc aliquid dicitur magis et minus vel maxime unum.
Reply Obj. 1: Although privation considered in itself is not susceptive of more or less, still according as its opposite is subject to more or less, privation also can be considered itself in the light of more and less. Therefore according as a thing is more divided, or is divisible, either less or not at all, in the degree it is called more, or less, or supremely, one.
Ad secundum dicendum quod punctus et unitas quae est principium numeri, non sunt maxime entia, cum non habeant esse nisi in subiecto aliquo. Unde neutrum eorum est maxime unum. Sicut enim subiectum non est maxime unum, propter diversitatem accidentis et subiecti, ita nec accidens.
Reply Obj. 2: A point and unity which is the principle of number, are not supremely being, inasmuch as they have being only in some subject. Hence neither of them can be supremely one. For as a subject cannot be supremely one, because of the difference within it of accident and subject, so neither can an accident.
Ad tertium dicendum quod, licet omne ens sit unum per suam substantiam, non tamen se habet aequaliter substantia cuiuslibet ad causandam unitatem, quia substantia quorundam est ex multis composita, quorundam vero non.
Reply Obj. 3: Although every being is one by its substance, still every such substance is not equally the cause of unity; for the substance of some things is compound and of others simple.
Quaestio 12
Question 12
Quomodo Deus a nobis cognoscatur
How God is Known by Us
Quia in superioribus consideravimus qualiter Deus sit secundum seipsum, restat considerandum qualiter sit in cognitione nostra, idest quomodo cognoscatur a creaturis. Et circa hoc quaeruntur tredecim.
As hitherto we have considered God as He is in Himself, we now go on to consider in what manner He is in the knowledge of creatures; concerning which there are thirteen points of inquiry: