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13 " *There is only one God*. Whatever exists is *ipso facto* individual; to be one it needs no extra property and calling it one merely denies that it is divided. Simple things are neither divided nor divisible; composite things do not exist when their parts are divided. So existence stands or falls with individuality, and things guard their unity as they do their existence. But what is simply speaking one can yet in certain respects be many: an individual thing, essentially undivided, can have many non-essential properties; and a single whole, actually undivided, can have potentially many parts.

Only when one is used to count with does it presuppose in what it counts some extra property over and above existence, namely, quantity. The one we count with contrasts with the many it counts in the way a unity of measurement contrasts with what it measures; but the individual unity common to everything that exists contrasts with plurality simply by lacking it, as undividedness does division. A plurality is however *a* plurality: though simply speaking many, inasmuch as it exists, it is, incidentally, one. A continuum is homogeneous: its parts share the form of the whole (every bit of water is water); but a plurality is heterogeneous: its parts lack the form of the whole (no part of the house is a house). The parts of a plurality are unities and non-plural, though they compose the plurality not as non-plural but as existing; just as the parts of a house compose the house as material, not as not houses. Whereas we define plurality in terms of unity (many things are divided things to each of which is ascribed unity), we define unity in terms of division. For division precedes unity in our minds even if it doesn’t really do so, since we conceive simple things by denying compositeness of them, defining a point, for example, as lacking dimension. Division arises in the mind simply by negating existence. So the first thing we conceive is the existent, then―seeing that this existent is not that existent―we conceive division, thirdly unity, and fourthly plurality.

There is only one God. Firstly, God and his nature are identical: to be God is to be this individual God. In the same way, if to be a man was to be Socrates there would only be one man, just as there was only one Socrates. Moreover, God’s perfection is unlimited, so what could differentiate one God from another? Any extra perfection in one would be lacking in the other and that would make him imperfect. And finally, the world is one, and plurality can only produce unity incidentally insofar as it too is somehow one: the primary and non-incidental source of unity in the universe must himself be one. The one we count with measures only material things, not God: like all objects of mathematics, though defined without reference to matter, it can exist only in matter. But the unity of individuality common to everything that exists is a metaphysical property applying both to non-material things and to God. But what in God is a perfection has to be conceived by us, with our way of understanding things, as a lack: that is why we talk of God as lacking a body, lacking limits and lacking division. "

Thomas Aquinas , Summa Theologica

14 " It will be seen how there can be the idea of a special science, the *critique of pure reason* as it may be called. For reason is the faculty which supplies the *principles* of *a priori* knowledge. Pure reason therefore is that which contains the principles of knowing something entirely *a priori*. An *organon* of pure reason would be the sum total of the principles by which all pure *a priori* knowledge can be acquired and actually established. Exhaustive application of such an organon would give us a system of pure reason. But as this would be a difficult task, and as at present it is still doubtful whether indeed an expansion of our knowledge is possible here at all, we may regard a science that merely judges pure reason, its sources and limits, as the *propaedeutic* to the system of pure reason. In general, it would have to be called only a *critique*, not a *doctrine* of pure reason. Its utility, in regard to speculation, would only be negative, for it would serve only to purge rather than to expand our reason, and, which after all is a considerable gain, would guard reason against errors. I call all knowledge *transcendental* which deals not so much with objects as with our manner of knowing objects insofar as this manner is to be possible *a priori*. A system of such concepts would be called *transcendental philosophy*. But this is still, as a beginning, too great an undertaking. For since such a science must contain completely both analytic and synthetic *a priori* knowledge, it is, as far as our present purpose is concerned, much too comprehensive. We will be satisfied to carry the analysis only so far as is indispensably necessary in order to understand in their whole range the principles of *a priori* synthesis, with which alone we are concerned. This investigation, which properly speaking should be called only a transcendental critique but not a doctrine, is all we are dealing with at present. It is not meant to expand our knowledge but only to correct it, and to become the touchstone of the value, or lack of value, of all *a priori* knowledge. Such a critique is therefore the preparation, as far as possible, for a new organon, or, if this should turn out not to be possible, for a canon at least, according to which, thereafter, the complete system of a philosophy of pure reason, whether it serve as an expansion or merely as a limitation of its knowledge, may be carried out both analytically and synthetically. That such a system is possible, indeed that it need not be so comprehensive as to cut us off from the hope of completing it, may already be gathered from the fact that it would have to deal not with the nature of things, which is inexhaustible, but with the understanding which makes judgments about the nature of things, and with this understanding again only as far as its *a priori* knowledge is concerned. The supply of this *a priori* knowledge cannot be hidden from us, as we need not look for it outside the understanding, and we may suppose this supply to prove sufficiently small for us to record completely, judge as to its value or lack of value and appraise correctly. Still less ought we to expect here a critique of books and systems of pure reason, but only the critique of the faculty of pure reason itself. Only once we are in possession of this critique do we have a reliable touchstone for estimating the philosophical value of old and new works on this subject. Otherwise, an unqualified historian and judge does nothing but pass judgments upon the groundless assertions of others by means of his own, which are equally groundless. "

Immanuel Kant , Critique of Pure Reason