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Perfection is always infinite. We are the Infinite already.You and I, and all beings, are trying to manifest that infinity.

 

Swami Vivekananda

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...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

 

Infinity, in its first form (the improper-infinite) presents itself as a variable finite [veranderliches Endliches]; in the other form (which I call the proper infinite [Eigentlich-unendliche]) it appears as a thoroughly determinate [bestimmtes] infinite.

 

Georg Cantor

 

There cannot be a single, simple body which is infinite, either, as some hold, one distinct from the elements, which they then derive from it, nor without this qualification. For there are some who make this (i.e. a body distinct from the elements) the infinite, and not air or water, in order that the other things may not be destroyed by their infinity. They are in opposition one to another — air is cold, water moist, and fire hot—and therefore, if any one of them were infinite, the rest would have ceased to be by this time. Accordingly they say that what is infinite is something other than the elements, and from it the elements arise.

 

Anaximander

 

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

 

The infinity of All ever bringing forth anew, and even as infinite space is around us, so is infinite potentiality, capacity, reception, malleability, matter.

 

Giordano Bruno