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Aristotle

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Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks amend.
--
Book I, 715.b15

 
Aristotle

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Do you believe it to be impossible that God is infinite, without parts?—Yes. I wish therefore to show you an infinite and indivisible thing. It is a point moving everywhere with an infinite velocity; for it is one in all places, and is all totality in every place. Let this effect of nature, which previously seemed to you impossible, make you know that there may be others of which you are still ignorant. Do not draw this conclusion from your experiment, that there remains nothing for you to know; but rather that there remains an infinity for you to know. 231

 
Blaise Pascal
 

God is Infinite and His Shadow is also infinite. The Shadow of God is the Infinite Space that accommodates the infinite Gross Sphere which, with its occurrences of millions of universes, within and without the ranges of men's knowledge, is the Creation that issued from the Point of Finiteness in the infinite Existence that is God.

 
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Don't look back—forward, infinite energy, infinite enthusiasm, infinite daring, and infinite patience—then alone can great deeds be accomplished.

 
Swami Vivekananda
 

I have never proceeded from any Genus supremum of the actual infinite. Quite the contrary, I have rigorously proved that there is absolutely no Genus supremum of the actual infinite. What surpasses all that is finite and transfinite is no Genus; it is the single, completely individual unity in which everything is included, which includes the Absolute, incomprehensible to the human understanding. This is the Actus Purissimus, which by many is called God.
I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not — I do not say divisible — but actually divisible; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.

 
Georg Cantor
 

...as nature has graven her image and that of her Author on all things, they almost all partake of her double infinity. Thus we see that all the sciences are infinite in the extent of their researches. For who doubts that geometry, for instance, has an infinite infinity of problems to solve? They are also infinite in the multitude and fineness of their premises; for it is clear that those which are put forward as ultimate are not self-supporting, but are based on others which, again having others for their support, do not permit of finality. ...Of these two Infinites of science, that of greatness is the most palpable, and hence a few persons have pretended to know all things. ...the infinitely little is the least obvious. Philosophers have much oftener claimed to have reached it, and it is here they have all stumbled. ...we need no less capacity for attaining the Nothing than the All. Infinite capacity is required for both, and it seems to me that whoever shall have understood the ultimate principles of being might also attain to the knowledge of the Infinite. The one depends on the other, and one leads to the other. These extremes meet and reunite by force of distance, and find each other in God, and in God alone. 72

 
Blaise Pascal
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