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Alfred North Whitehead

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Our minds are finite, and yet even in these circumstances of finitude we are surrounded by possibilities that are infinite, and the purpose of human life is to grasp as much as we can out of the infinitude.
--
Ch. 21, June 28, 1941

 
Alfred North Whitehead

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The movement of doubt consisted precisely in this: that at one moment he was supposed to be in the right, the next moment in the wrong, to a degree in the right, to a degree in the wrong, and this was supposed to mark his relationship with God; but such a relationship with God is not relationship, and this was the sustenance of doubt. In his relationship with another person, it certainly was possible that he could be partly in the wrong, partly in the right, to a degree in the wrong, to a degree in the right, because he himself and every human being is finite, and their relationship is a finite relationship that consists in a more or less. Therefore as long as doubt would make the infinite relationship finite, and as long as wisdom would full up the infinite relationship with the finite-just so long he would remain in doubt. Thus every time doubt wants to trouble him about the particular, tell him that he is suffering too much or is being tested beyond his powers, he forget the finite in the infinite, that he is always in the wrong. Every time the cares of doubt want to make him sad, he lifts himself above the finite into the infinite, because this thought, that he is always in the wrong, is the wings upon which he soars over the finite. This is the longing with which he seeks God; this is the love which he finds God.

 
Soren Aabye Kierkegaard
 

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.

 
Meher Baba
 

In love, at one of its poles you find the personal, and at the other the impersonal. At one you have the positive assertion — Here I am; at the other the equally strong denial — I am not. Without this ego what is love? And again, with only this ego how can love be possible?
Bondage and liberation are not antagonistic in love. For love is most free and at the same time most bound. If God were absolutely free there would be no creation. The infinite being has assumed unto himself the mystery of finitude. And in him who is love the finite and the infinite are made one.

 
Rabindranath Tagore
 

The Infinite alone justifies the existence of the finite and the finite by itself has no entirely separate value or independent existence. Life, if it is not an illusion, is a divine Play, a manifestation of the glory of the Infinite. Or it is a means by which the soul growing in Nature through countless forms and many lives can approach, touch, feel and unite itself through love and knowledge and faith and adoration and a Godward will in works with this transcendent Being and this infinite Existence.
This Self or this self-existent Being is the one supreme reality, and all things else are either only appearances or only true by dependence upon it. It follows that self-realisation and God-realisation are the great business of the living and thinking human being. All life and thought are in the end a means of progress towards self-realisation and God-realisation.

 
Sri Aurobindo
 

What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending ladder of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.

 
Georg Cantor
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