"Is there an infinite outside of us? Is this infinite, one, immanent, permanent; necessarily substantial, since it is infinite, and because, if matter were lacking in it, it would in that respect be limited; necessarily intelligent, because it is infinite, and since if it lacked intelligence it would be to that extent, finite? Does this finite awaken in us the idea of essence, while we are able to attribute to ourselves the idea of existence only? In other words, it is not the absolute of which we are the relative? At the same time, while there is an infinite outside of us, is there not an infinite within us? These two infinities, do they not rest superimposed on one another? Does the second infinite not underlie the first, so to speak? It is not the mirror, the reflection, the echo of the first, an abyss concentric with another abyss? Is this second infinite intelligent, also? Does it think? Does it love? Does it will? If the two infinities are intelligent, each one of them has a principle of will, and there is a "me" in the infinite above, as there is a "me" in the infinite below. The "me" below is the soul; the "me" above is God."
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The infinite... happens to subsist in a way contrary to what is asserted by others: for the infinite is not that beyond which there is nothing, but it is that of which there is always something beyond. ...But that pertaining to which there is nothing beyond is perfect and whole. ...that of which nothing is absent pertaining to the parts ...the whole is that pertaining to which there is nothing beyond. But that pertaining to which something external is absent, that is not all ...But nothing is perfect which has not an end; and the end is a bound. On this account... Parmenides spoke better than Melissus: for the latter says that the infinite is a whole; but the former, that the whole is finite, and equally balanced from the middle: for to conjoin the infinite with the universe and the whole, is not to connect line with line.
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Since the science of nature is conversant with magnitudes, motion, and time, each of which must necessarily be either infinite or finite...[we] should speculate the infinite, and consider whether it is or not; and if it is what it is. ...[A]ll those who appear to have touched on a philosophy of this kind... consider it as a certain principle of beings. Some, indeed, as the Pythagoreans and Plato, consider it, per se, not as being an accident to any thing else, but as having an essential subsistence... the Pythagoreans... consider the infinite as subsisting in sensibles; for they do not make number to be separate; and they assert that what is beyond the heavens is infinite; but Plato says that beyond the heavens there is not any body, nor ideas, because these are no where: he affirms, however, that the infinite is both in sensibles, and in ideas. ...Plato establishes two infinities, viz. the great and the small.
Filoteo: Because the First Principle is the most fundamental, it follows that if one attribute were finite, then all attributes would likewise be finite; or else, if by one intrinsic rationale He is finite, and by another infinite, then necessarily we must consider him as composite. If therefore, he is the operator of the universe, then He is surely an infinite operator; in the sense that all is dependent on Him. Furthermore, since our imagination is able to move toward infinity, imagining always greater size and yet still greater, and number beyond number, following a certain succession, and as they say, power, so too we must also understand, that God actually conceives infinite dimension and infinite number. And from that understanding follows the possibility with the convenience and opportunity such as may be: that should the active power be infinite, then by necessary consequence, the subject power takes part in the infinite: because, as we have demonstrated elsewhere, what can be done must be done, the ability to measure implies the measurable thing, and the measurer implies the measured. Thus, as there really are bodies with finite dimension, the Prime Intellect understands bodies and dimension. If He has understanding of this, He understands infinity no less, and if He understands the infinite, and such bodies, then necessarily these are intelligible species, and are products of that intellect, for what is divine is most real, and as such what is that real must exist more surely than what we can actually see before our eyes.
All those... who discourse concerning nature, always subject a certain other nature of... elements, to the infinite... But no one of those who make the elements to be finite introduces infinity. Such, however, as make infinite elements, as Anaxagoras and Democritus, say that the infinite is continuous by contact. ...Rationally, too, do all philosophers consider the infinite as a principle; for it cannot be in vain, nor can any other power be present with it than that of a principle: for all things are either the principle, or from the principle; but of the infinite there is no principle, since otherwise it would have an end. ...it is also unbegotten and uncorruptible, as being a certain principle: for... end is the corruption of everything. ...It likewise appears to comprehend and govern all things, as those assert who do not introduce other causes beside the infinite... It would seem also that this is divine: for it is immortal and indestructible, as Anaximander says, and most of the physiologists.
[B]ecause that which is finite is always bounded with reference to something... it is necessary that there should be no end... [N]umber also appears to be infinite, and mathematical magnitudes, and that which is beyond the heavens. And since that which is beyond is infinite, body also appears to be infinite, and it would seem that there are infinite worlds; for why is there rather void here than there? ...If also there is a vacuum, and an infinite place, it is necessary that there should be an infinite body: for in things which have a perpetual subsistence, capacity differs nothing from being. The speculation of the infinite is, however, attended with doubt: for many impossibilities happen both to those who do not admit that it has a subsistence, and to those who do. ...It is ...especially the province of a natural philosopher to consider if there be a sensible infinite magnitude.
i manifestly understand that there is more reality in infinite than in finite substance, and that therefore the perception of the infinite in me must be in some way prior to that of the finite: the perception of god, in other words, prior to that of myself. for how could i possibly understand that i doubt, and that i desire, that is, that there is something lacking in me, and that i am not completely perfect, if there were no idea in me of a more perfect being, by comparison with which i could recognize my own shortcomings?
It is only by intuition that the infinite can be apprehended. But why is this? Why cannot the infinite be apprehended by concepts? To see this we must understand that the word "infinite," in the religious sense, has nothing at all to do with that sense of the word in which it is applied to space, time, and the number series. We may call this latter the mathematical infinite to distinguish it from the religious infinite. And it is the confusion between these two which misled us into the false trail of supposing that the infinity of God's mind refers to the amount of His knowledge and that the finitude of man's mind refers to his ignorance. The religious infinite, or in other words the infinity of God, means that than 'which there is no other. In this sense neither space nor time could be infinite, since space is an "other" to time, and time is an "other" to space.
The human spirit, driven by an invincible force, will never cease to ask: What is beyond? Does he want to stop either in time or in space? Since the point at which he has reigned is only a finite magnitude, greater only than all those who have preceded him, he has scarcely begun to think of it as the implacable question and always without being able to silence his curiosity. There is nothing to answer: there are spaces, times or magnitudes without limits. No one understands these words.
The Infinite alone exists and is Real; the finite is passing and false. The Original Whim in the Beyond caused the apparent descent of the Infinite into the realm of the seeming finite. This is the Divine Mystery and Divine Game in which Infinite Consciousness for ever plays on all levels of finite consciousness.
There is finitude — unless this were true, infinity would have no meaning. The contrast of finitude and infinity arises from the fundamental metaphysical truth that every entity involves an indefinite array of perspectives, each perspective expressing a finite characteristic of that entity. But any one finite perspective does not enable an entity to shake off its essential connection with totality. The infinite background always remains as the unanalysed reason why that finite perspective of that entity has the special character that it does have. Any analysis
So far from holding God to be finite, I hold, and in the book clearly teach, that all minds are infinite (in the true qualitative sense of the word), and God preeminently so. (See my pp. 330 seq., 363, and 373). Eternity, self-existence, self-activity, freedom, and infinity are to me all interchangeable terms, and are so treated wherever they turn up in the course of the book. My reviewer falls into a non sequitur when he concludes that I make God finite because I make him one of a community of spirits, each absolutely real; not God's finitude, but his definiteness, is what follows from that. This confusion of the definite with the finite is very common, and is the explanation of two tendencies in sceptical thinking — the tendency to deny the personality of God, whose infinity is supposed to mean his utter indefiniteness, and the tendency, in recoil from the former, to assert God's finitude in order to save his personality, which of course must be definite. But the true infinite, as distinguished from the pseudo-infinite, the infinite of quality in contrast to the infinite of quantity, is entirely definite; more definite, indeed, than any finite can be.
The field of the finite is all that we can see, hear, touch, remember, and describe. This field is basically that which is manifest, or tangible. The essential quality of the infinite, by contrast, is its subtlety, its intangibility. This quality is conveyed in the word spirit, whose root meaning is "wind, or breath." This suggests an invisible but pervasive energy, to which the manifest world of the finite responds. This energy, or spirit, infuses all living beings, and without it any organism must fall apart into its constituent elements. That which is truly alive in the living being is this energy of spirit, and this is never born and never dies.
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