[10] The terms differentia, numerus, species, are used expertly, as would be expected of the author of the In Isag. Porph. Commenta. See S. Brandt's edition of that work (in the Vienna Corpus, 1906), s.v. differentia, etc.

[11] This method of mental abstraction is employed more elaborately in Tr. iii. (vide infra, p. 44) and in Cons. v. pr. 4, where the notion of divine foreknowledge is abstracted in imagination.

II.

Age igitur ingrediamur et unumquodque ut intellegi atque capi potest dispiciamus; nam, sicut optime dictum uidetur, eruditi est hominis unum quodque ut ipsum est ita de eo fidem capere temptare.

Nam cum tres sint speculatiuae partes, naturalis, in motu inabstracta [Greek: anupexairetos] (considerat enim corporum formas cum materia, quae a corporibus actu separari non possunt, quae corpora in motu sunt ut cum terra deorsum ignis sursum fertur, habetque motum forma materiae coniuncta), mathematica, sine motu inabstracta (haec enim formas corporum speculatur sine materia ac per hoc sine motu, quae formae cum in materia sint, ab his separari non possunt), theologica, sine motu abstracta atque separabilis (nam dei substantia et materia et motu caret), in naturalibus igitur rationabiliter, in mathematicis disciplinaliter, in diuinis intellectualiter uersari oportebit neque diduci ad imaginationes, sed potius ipsam inspicere formam quae uere forma neque imago est et quae esse ipsum est et ex qua esse est. Omne namque esse ex forma est. Statua enim non secundum aes quod est materia, sed secundum formam qua in eo insignita est effigies animalis dicitur, ipsumque aes non secundum terram quod est eius materia, sed dicitur secundum aeris figuram. Terra quoque ipsa non secundum [Greek: apoion hulaen] dicitur, sed secundum siccitatem grauitatemque quae sunt formae. Nihil igitur secundum materiam esse dicitur sed secundum propriam formam. Sed diuina substantia sine materia forma est atque ideo unum et est id quod est. Reliqua enim non sunt id quod sunt. Vnum quodque enim habet esse suum ex his ex quibus est, id est ex partibus suis, et est hoc atque hoc, id est partes suae coniunctae, sed non hoc uel hoc singulariter, ut cum homo terrenus constet ex anima corporeque, corpus et anima est, non uel corpus uel anima in partem; igitur non est id quod est. Quod uero non est ex hoc atque hoc, sed tantum est hoc, illud uere est id quod est; et est pulcherrimum fortissimumque quia nullo nititur. Quocirca hoc uere unum in quo nullus numerus, nullum in eo aliud praeterquam id quod est. Neque enim subiectum fieri potest; forma enim est, formae uero subiectae esse non possunt. Nam quod ceterae formae subiectae accidentibus sunt ut humanitas, non ita accidentia suscipit eo quod ipsa est, sed eo quod materia ei subiecta est; dum enim materia subiecta humanitati suscipit quodlibet accidens, ipsa hoc suscipere uidetur humanitas. Forma uero quae est sine materia non poterit esse subiectum nec uero inesse materiae, neque enim esset forma sed imago. Ex his enim formis quae praeter materiam sunt, istae formae uenerunt quae sunt in materia et corpus efficiunt. Nam ceteras quae in corporibus sunt abutimur formas uocantes, dum imagines sint. Adsimulantur enim formis his quae non sunt in materia constitutae. Nulla igitur in eo diuersitas, nulla ex diuersitate pluralitas, nulla ex accidentibus multitudo atque idcirco nec numerus.

II.

We will now begin a careful consideration of each several point, as far as they can be grasped and understood; for it has been wisely said,[12] in my opinion, that it is a scholar's duty to formulate his belief about anything according to its real nature.

Speculative Science may be divided into three kinds[13]: Physics, Mathematics, and Theology. Physics deals with motion and is not abstract or separable (i.e. [Greek: anupexairetos]); for it is concerned with the forms of bodies together with their constituent matter, which forms cannot be separated in reality from their bodies.[14] As the bodies are in motion—the earth, for instance, tending downwards, and fire tending upwards, form takes on the movement of the particular thing to which it is annexed.

Mathematics does not deal with motion and is not abstract, for it investigates forms of bodies apart from matter, and therefore apart from movement, which forms, however, being connected with matter cannot be really separated from bodies.

Theology does not deal with motion and is abstract and separable, for the Divine Substance is without either matter or motion. In Physics, then, we are bound to use scientific, in Mathematics, systematical, in Theology, intellectual concepts; and in Theology we will not let ourselves be diverted to play with imaginations, but will simply apprehend that Form which is pure form and no image, which is very Being and the source of Being. For everything owes its being to Form. Thus a statue is not a statue on account of the brass which is its matter, but on account of the form whereby the likeness of a living thing is impressed upon it: the brass itself is not brass because of the earth which is its matter, but because of its form. Likewise earth is not earth by reason of unqualified matter,[15] but by reason of dryness and weight, which are forms. So nothing is said to be because it has matter, but because it has a distinctive form. But the Divine Substance is Form without matter, and is therefore One, and is its own essence. But other things are not simply their own essences, for each thing has its being from the things of which it is composed, that is, from its parts. It is This and That, i.e. it is the totality of its parts in conjunction; it is not This or That taken apart. Earthly man, for instance, since he consists of soul and body, is soul and body, not soul or body, separately; therefore he is not his own essence. That on the other hand which does not consist of This and That, but is only This, is really its own essence, and is altogether beautiful and stable because it is not grounded in anything. Wherefore that is truly One in which is no number, in which nothing is present except its own essence. Nor can it become the substrate of anything, for it is pure Form, and pure Forms cannot be substrates.[16] For if humanity, like other forms, is a substrate for accidents, it does not receive accidents through the fact that it exists, but through the fact that matter is subjected to it. Humanity appears indeed to appropriate the accident which in reality belongs to the matter underlying the conception Humanity. But Form which is without matter cannot be a substrate, and cannot have its essence in matter, else it would not be form but a reflexion. For from those forms which are outside matter come the forms which are in matter and produce bodies. We misname the entities that reside in bodies when we call them forms; they are mere images; they only resemble those forms which are not incorporate in matter. In Him, then, is no difference, no plurality arising out of difference, no multiplicity arising out of accidents, and accordingly no number.