1. The Opinion of Others

a. Exposition of the Opinion

148. Here it is maintained [by Godfrey of Fontaines] that the specific nature is of itself a ‘this’, and yet it can, through quantity, be the nature common to several singulars, or quantity can be the reason that several singulars can exist in the nature.Godfrey, Quodlibet 7 q.5: “For just as the universal that is genus cannot be divided into several things differing in species save by the addition of something pertaining to the idea of the species...so too it seems that the universal that is species cannot be divided into several individuals unless each individual adds something over and above the idea of the species, which idea of the species - as concerns itself - is one in all individuals. But it does not seem that something can be understood to be added that pertains to the essence and nature of the individual, because the species, which is the whole being of individuals, states the whole of that essence; therefore if something is added, it seems to be something pertaining to accidental nature. For in direct descent under a category, the division stops at the most specific species, in that this species includes the ultimate difference below which one cannot take a more determinate difference whereby the species could be made more determinate in the individual (the way this happens in a species in respect of a genus), unless there is to be a regress to infinity; and so, as Plato says [Politicus Latinus I 596], one must rest at singulars -namely in this way, that one is not to posit in singulars something formal pertaining to essence or quiddity beyond what is included in the idea and quiddity of the species. Therefore, if anything is added whereby a nature universal in itself is to be thus determined and contracted, it must be something pertaining to accidental nature [sc. to the nature of quantity], as was said.” Ibid.: “But since material substance is in itself not divided into several things of the same idea or species.therefore, just as it is a ‘how much’ that comes per accidens, so it is divided per accidens into several things of the same idea, namely divided through quantity. Now that seems to be properly called one ‘according to number’ which is one in number or one by number; but number is properly caused by division according to quantity; therefore that seems to be properly called ‘one in number’ which is undivided first in that nature by which it is distinguished first from another of the same species; but this nature is quantity, and so a ‘one in number’ seems properly to be something undivided in the nature of quantity. Therefore, quantity is the per se principle of a one according to number, just as form.is the principle of individuation; and thus, properly speaking, there is not the same principle for per se individuation in the genus of material substance and for a one according to number, because the principle of a one according to number is quantity, in that according to quantity it is undivided in itself and divided from another of the same idea.; but the principle of per se individuation is the form, by which substance is divided into several things of the same idea. And accordingly it seems one should say that the formal principle (or the formal idea) of this sort of distinction.is each individual’s substantial form undivided in itself and divided from another, and thus do they differ in substantial number. The principle.of ‘distinction according substance’ of several individuals is quantity, since it is the principle of division both of the matter and also of the form in divided matter; for if there were not pre-understood in matter a quantity that would make the matter divisible, the matter could not receive several forms. Hence, because of this, there are several entities according as there are quanta, or according to division of quantity.; for, by the fact that quantity makes the substance to be really extended, it happens that the substance...also has parts really and essentially differing from each other.” ⁵⁹

149. The first point [sc. specific nature is of itself a ‘this’] is made clear thus: the most specific species is of itself an atomic unit; therefore it is indivisible.

150. And there is confirmation from the remark of Porphyry [Book of Predicables ch.2 2b14-16], “When we descend from the most general to the most specific, Plato [Politicus Latinus I 596] bids us come to a rest;” but if it were possible for there to be a further division of this nature, one should not rest at the nature; therefore etc.

151. Likewise Boethius in his book Of Divisions, when he is enumerating all the divisions not only per se but also per accidens, does not enumerate a division of the species into individuals; therefore the specific nature is a not a ‘this’ through something else.

152. Again, if there were some reality in an individual beside the sole reality of the specific nature, the species would not state ‘the whole being of individuals’ - which is against Porphyry [Predicables ch.2 3a5-9].

153. The second point [n.148] is made clear by the fact that quantity, although it is not the formal idea of the division of anything into subjective parts, yet, when a quantitative whole is divided into quantitative parts, it is divided per se into things that are of the same idea; now the principle of a division into something is the same as the principle of distinction of the very dividers; therefore, just as quantity itself is the principle of the division, so it is the principle of the distinction of the dividers. But these dividers are the subjective parts of the common nature; therefore quantity is the principle of the distinction of such parts.

154. Now how these two points [n.148] can stand together can be made plain through an example, because, according to the Philosopher Physics 1.2.185a32-b5, ‘substance is of itself indivisible into parts’, speaking of parts of the same idea - and yet, when quantity is added, substance is divisible into such parts, indeed it then has such parts. In this way, then, can a nature of a species be of itself a ‘this’ and yet, though a nature coming to it from without, be this here and this there.

b. Rejection of the Opinion

155. This position [n148] seems it can be understood in two ways:

One such way is that material substance, to the extent it is essentially distinguished from quantity, remains the same, wholly non-distinct by reason of its proper and essential entity, and yet receives many quantities and, when receiving them, constitutes along with them many wholes at the same time; that is to say, in plain words, that the same material substance, being in itself neither divided nor distinct, is informed with many quantities, and thereby are there many individuals in a species.

156. The position can be understood in another way, that the material substance, which of itself, with all quantity removed, would be a ‘this’, will, when a quantity informing it is posited, be this substance and that, such that it not only receives distinct quantities but also has distinctness in itself, in its proper substantial entity; so that the substance, which is subject of the quantity and is distinct from the quantity essentially, is not the substance which is subject of another quantity and distinct from this other quantity essentially, although however the fact that it is this substance and not that cannot be without quantity in this substance and in that.

157. The first way of understanding [n.155] seems impossible, because from it there follow things that are unacceptable in theology, metaphysics, and natural science.

158. In theology indeed this unacceptable thing follows, that to be ‘this’ is not a property of the infinite divine essence, namely that the divine essence, existing as single, indistinct in itself, can be in several distinct supposits - but this is commonly understood only of persons distinct just in relation; here, however, what is posited is that a single substantial nature, in no way distinct in itself, would have several supposits distinct with absolute reality.

159. Second, it follows that some substance of wine cannot be transubstantiated into the body and blood [of Christ] unless the whole substance of wine is transubstantiated, because the wine is only transubstantiated as to its substance, for its quantity remains the same, and for you [n.148, specific nature is of itself a ‘this’] the substance in this wine is the same as the substance in that wine; but the same thing is not both transubstantiated and not transubstantiated; therefore etc.

160. In metaphysics the unacceptable things that follow are:

First, that the Idea posited by Plato would be posited. For Plato posited that the Idea is a per se existing substance, a separate nature, without accidents (as is imputed to him by the Philosopher), in which would be the whole nature of the species, and this nature, according to what Aristotle imputed to Plato, would be said of any individual by a formal predication stating ‘this is this’ [n.41]; but this opinion has posited that ‘this substance’ is said of anything of this species by a predication stating ‘this is this’, and yet that it is under this accident and under that accident [n.143]. This opinion, therefore, posits as much commonness as Plato posited in the Ideas.

161. Second, because for them [Godfrey and his followers] two accidents of the same species cannot be in the same subject (provided they were absolute accidents [sc. accidents of quantity or quality]), because a manifest contradiction according to them would follow, namely that the same thing would be in act and in potency in the same respect;Godfrey, Quodlibet 6 q.5, “One must say that, just as several accidents of the same species cannot be at the same time in the same subject, so also one accident cannot, by any agent, be at the same time in two subjects... For accidents that have in themselves no distinction do not acquire distinction, but unity, from being in the same subject; hence, just as two points cannot be at the same time in the same subject (but they become one point), nor two lines, so neither can two whitenesses. Therefore it is impossible for two accidents of the same idea and species to become one in a subject and to remain two and distinct.” ⁶⁰ however the opposite hereby follows, that the same nature is in act in respect of many acts of the same species.

162. Accordingly one could infer another impossibility, a mathematical one (insofar as a quantum pertains to the consideration of a mathematician), namely that two dimensive quantities of the same idea would perfect the same subject at the same time, and this is contrary to the proper nature of dimensive quantities of the same idea, speaking according to the intention of a mathematician.

163. Third, in natural science there follow two unacceptable things:

First, that no material substance can be generated and corrupted. Not generated indeed, because if there is a ‘this stone’, all the substance will be in it that there can be in any stone; however, this substance of stone can acquire a quantity of this much and a quantity of that much, different in number; but the acquisition of a new quantity is not generation (as is plain from the terms of this generation); therefore etc. Likewise, while this stone remains, the specific nature of stone remains in it; but every nature of stone is ‘this nature’; therefore, while this nature remains, every nature remains; therefore a material substance cannot be corrupted while the stone remains, although the quality - or the quantity - is not the same.

164. Second, it follows that, although one could, according to the invention of that cursed Averroes about the unity of the intellect in everyone, make a like invention about your body and mine as about this stone and that; nevertheless, holding that different intellective souls, according not only to the faith but also to philosophy, are necessary, it cannot be that human nature is of itself atomic or undivided and yet is made different by quantity, because in this man and in that man there is a different substantial form, different by a difference naturally preceding quantity. And therefore they do not try to respond to this objection - as being insoluble - but betake themselves to different things, ‘homogeneous’ ones, stone or water; and yet, if they had anything in their favor from the idea of atomic specific nature, they would conclude about man as they conclude about stone. They are therefore able to see that the principles from which they proceed, since manifest impossibilities follow from them, are no principles.

165. The second way of understanding the position [n.156] seems to destroy itself, because what is of itself a ‘this’, in the way that ‘something is of itself a this’ was expounded before (that is, something for which it is repugnant per se to be divided into several subjective parts and for which it is repugnant to be not-this [nn.48, 76]) - such a thing cannot be divided into several parts by something coming to it from outside, because if its being divided is repugnant to it of itself, then its receiving something by which it may become not-this is repugnant to it of itself. Therefore, to say that a nature is of itself a ‘this’ (according to the understanding expounded before about a nature that is of itself a ‘this’ [n.155-56]), and yet that it can be this or that through something coming to it from outside, is to state contradictories.

166. And this is plain from the example set down in the position [n.154], that, although a material substance is not of itself divided into parts of the same idea, yet it is of itself not indivisible into such parts - because if it were of itself indivisible (that is, if division were repugnant to it), it could not receive the quantity by which it is formally divided into such parts; the fact is clear, for a soul - or an angel (which is of itself indivisible in this way) - cannot receive quantity, just as it cannot receive parts.

167. There seems then to be a deception in this consequence, ‘it is not of itself such, therefore it is of itself not-such’ (fallacy of the consequent). For substance, according to one position, is not of itself a haver of parts of the same idea, and yet it is not of itself a non-haver of parts of the same idea, such that having parts is repugnant to it; because then it could not receive such parts formally through ‘something coming to it from outside’. And so the nature of a most specific species is not of itself a ‘this’, just as neither is anything of itself a ‘this’ that is in its nature divisible; but it is not of itself not-this, such that being divided into several parts is of itself repugnant to it, because then it could not receive anything by which such a division would formally belong to it.