1 Objection 1: It would seem that the angels are not in great numbers. For number is a species of quantity, and follows the division of a continuous body. But this cannot be in the angels, since they are incorporeal, as was shown above Article 1). Therefore the angels cannot exist in any great number.
1 Ad tertium sic proceditur. Videtur quod Angeli non sint in aliquo magno numero. Numerus enim species quantitatis est, et sequitur divisionem continui. Hoc autem non potest esse in Angelis cum sint incorporei, ut supra ostensum est. Ergo Angeli non possunt esse in aliquo magno numero.
2 Objection 2: Further, the more a thing approaches to unity, so much the less is it multiplied, as is evident in numbers. But among other created natures the angelic nature approaches nearest to God. Therefore since God is supremely one, it seems that there is the least possible number in the angelic nature.
2 Praeterea, quanto aliquid est magis propinquum uni, tanto minus est multiplicatum, ut in numeris apparet. Natura autem angelica inter alias naturas creatas est Deo propinquior. Cum ergo Deus sit maxime unus, videtur quod in natura angelica inveniatur minimum de multitudine.
3 Objection 3: Further, the proper effect of the separate substances seems to be the movements of the heavenly bodies. But the movements of the heavenly bodies fall within some small determined number, which we can apprehend. Therefore the angels are not in greater number than the movements of the heavenly bodies.
3 Praeterea, proprius effectus separatarum substantiarum videtur esse motus corporum caelestium. Sed motus corporum caelestium sunt secundum aliquem determinatum numerum paucum, qui a nobis comprehendi potest. Ergo Angeli non sunt in maiori multitudine, quam motus corporum caelestium.
4 Objection 4: Dionysius says Div. Nom. iv) that all intelligible and intellectual substances subsist because of the rays of the divine goodness. But a ray is only multiplied according to the different things that receive it. Now it cannot be said that their matter is receptive of an intelligible ray, since intellectual substances are immaterial, as was shown above Article 2). Therefore it seems that the multiplication of intellectual substances can only be according to the requirements of the first bodies, that is, of the heavenly ones, so that in some way the shedding form of the aforesaid rays may be terminated in them; and hence the same conclusion is to be drawn as before.
4 Praeterea, Dionysius dicit, IV cap. de Div. Nom., quod propter radios divinae bonitatis subsistunt intelligibiles et intellectuales omnes substantiae. Sed radius non multiplicatur nisi secundum diversitatem recipientium. Non autem potest dici quod materia sit receptiva intelligibilis radii, cum substantiae intellectuales sint immateriales, ut supra ostensum est. Ergo videtur quod multiplicatio substantiarum intellectualium non possit esse nisi secundum exigentiam primorum corporum, scilicet caelestium, ut ad ea quodammodo processus praedictorum radiorum terminetur. Et sic idem quod prius.
5 On the contrary, It is said Dan. 7, 10): Thousands of thousands ministered to Him, and ten thousands times a hundred thousand stood before Him.
5 Sed contra est quod dicitur Dan. VII, millia millium ministrabant ei, et decies millies centena millia assistebant ei.
6 I answer that, There have been various opinions with regard to the number of the separate substances. Plato contended that the separate substances are the species of sensible things; as if we were to maintain that human nature is a separate substance of itself: and according to this view it would have to be maintained that the number of the separate substances is the number of the species of sensible things. Aristotle, however, rejects this view Metaph. i, text 31) because matter is of the very nature of the species of sensible things.
Consequently the separate substances cannot be the exemplar species of these sensible things; but have their own fixed natures, which are higher than the natures of sensible things. Nevertheless Aristotle held Metaph. xi, text 43) that those more perfect natures bear relation to these sensible things, as that of mover and end; and therefore he strove to find out the number of the separate substances according to the number of the first movements. But since this appears to militate against the teachings of Sacred Scripture, Rabbi Moses the Jew, wishing to bring both into harmony, held that the angels, in so far as they are styled immaterial substances, are multiplied according to the number of heavenly movements or bodies, as Aristotle held Metaph.
xi, text 43); while he contended that in the Scriptures even men bearing a divine message are styled angels; and again, even the powers of natural things, which manifest God's almighty power. It is, however, quite foreign to the custom of the Scriptures for the powers of irrational things to be designated as angels. Hence it must be said that the angels, even inasmuch as they are immaterial substances, exist in exceeding great number, far beyond all material multitude. This is what Dionysius says Coel.
Hier. xiv): There are many blessed armies of the heavenly intelligences, surpassing the weak and limited reckoning of our material numbers. The reason whereof is this, because, since it is the perfection of the universe that God chiefly intends in the creation of things, the more perfect some things are, in so much greater an excess are they created by God. Now, as in bodies such excess is observed in regard to their magnitude, so in things incorporeal is it observed in regard to their multitude.
We see, in fact, that incorruptible bodies, exceed corruptible bodies almost incomparably in magnitude; for the entire sphere of things active and passive is something very small in comparison with the heavenly bodies. Hence it is reasonable to conclude that the immaterial substances as it were incomparably exceed material substances as to multitude.
6 Respondeo dicendum quod circa numerum substantiarum separatarum, diversi diversis viis processerunt. Plato enim posuit substantias separatas esse species rerum sensibilium, utpote si poneremus ipsam naturam humanam esse separatam. Et secundum hoc oportebat dicere quod substantiae separatae sint secundum numerum specierum sensibilium. Sed hanc positionem improbat Aristoteles, ex eo quod materia est de ratione speciei horum sensibilium. Unde substantiae separatae non possunt esse species exemplares horum sensibilium, sed habent quasdam naturas altiores naturis rerum sensibilium. Posuit tamen Aristoteles quod illae naturae perfectiores habent ordinem ad sensibilia ista, secundum rationem moventis et finis.
Et ideo secundum numerum primorum motuum, conatus est adinvenire numerum substantiarum separatarum. Sed quia hoc videtur repugnare documentis sacrae Scripturae, Rabbi Moyses, Iudaeus, volens utrumque concordare, posuit quod Angeli, secundum quod dicuntur substantiae immateriales, multiplicantur secundum numerum motuum vel corporum caelestium, secundum Aristotelem. Sed posuit quod Angeli in Scriptura dicuntur etiam homines divina annuntiantes; et iterum virtutes rerum naturalium, quae Dei omnipotentiam manifestant. Sed hoc est alienum a consuetudine Scripturae, quod virtutes rerum irrationabilium Angeli nominentur. Unde dicendum est quod etiam Angeli secundum quod sunt immateriales substantiae, in quadam multitudine maxima sunt, omnem materialem multitudinem excedentes.
Et hoc est quod dicit Dionysius, XIV cap. Caelest. Hierarch., multi sunt beati exercitus supernarum mentium, infirmam et constrictam excedentes nostrorum materialium numerorum commensurationem. Et huius ratio est quia, cum perfectio universi sit illud quod praecipue Deus intendit in creatione rerum, quanto aliqua sunt magis perfecta tanto in maiori excessu sunt creata a Deo. Sicut autem in corporibus attenditur excessus secundum magnitudinem, ita in rebus incorporeis potest attendi excessus secundum multitudinem. Videmus autem quod corpora incorruptibilia, quae sunt perfectiora inter corpora, excedunt quasi incomparabiliter secundum magnitudinem corpora corruptibilia, nam tota sphaera activorum et passivorum est aliquid modicum respectu corporum caelestium. Unde rationabile est quod substantiae immateriales excedant secundum multitudinem substantias materiales, quasi incomparabiliter.
7 Reply to Objection 1: In the angels number is not that of discrete quantity, brought about by division of what is continuous, but that which is caused by distinction of forms; according as multitude is reckoned among the transcendentals, as was said above Question 30, Article 3; Question 11).
7 Ad primum ergo dicendum quod in Angelis non est numerus qui est quantitas discreta, causatus ex divisione continui, sed causatus ex distinctione formarum, prout multitudo est de transcendentibus, ut supra dictum est.
8 Reply to Objection 2: From the angelic nature being the nighest unto God, it must needs have least of multitude in its composition, but not so as to be found in few subjects.
8 Ad secundum dicendum quod ex hoc quod natura angelica est Deo propinqua, oportet quod habeat minimum de multitudine in sui compositione, non autem ita quod in paucis salvetur.
9 Reply to Objection 3: This is Aristotle's argument Metaph. xii, text 44), and it would conclude necessarily if the separate substances were made for corporeal substances. For thus the immaterial substances would exist to no purpose, unless some movement from them were to appear in corporeal things. But it is not true that the immaterial substances exist on account of the corporeal, because the end is nobler than the means to the end. Hence Aristotle says Metaph. xii, text 44) that this is not a necessary argument, but a probable one. He was forced to make use of this argument, since only through sensible things can we come to know intelligible ones.
9 Ad tertium dicendum quod ratio illa est Aristotelis in XII Metaphys. Et ex necessitate concluderet, si substantiae separatae essent propter substantias corporales, sic enim frustra essent immateriales substantiae, nisi ex eis aliquis motus in rebus corporalibus appareret. Non est autem hoc verum, quod substantiae immateriales sint propter corporales, quia finis nobilior est his quae sunt ad finem. Unde etiam Aristoteles dicit ibidem quod haec ratio non est necessaria, sed probabilis. Coactus autem fuit hac ratione uti, quia ad cognoscendum intelligibilia non possumus pervenire nisi per sensibilia.
10 Reply to Objection 4: This argument comes from the opinion of such as hold that matter is the cause of the distinction of things; but this was refuted above Question 47, Article 1). Accordingly, the multiplication of the angels is not to be taken according to matter, nor according to bodies, but according to the divine wisdom devising the various orders of immaterial substances.
10 Ad quartum dicendum quod ratio illa procedit secundum opinionem eorum qui causam distinctionis rerum ponebant esse materiam. Hoc autem improbatum est. Unde multiplicatio Angelorum neque secundum materiam, neque secundum corpora est accipienda, sed secundum divinam sapientiam, diversos ordines immaterialium substantiarum excogitantem.