Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
Meditation is the dissolution of thoughts in Eternal awareness or Pure consciousness without objectification, knowing without thinking, merging finitude in infinity.
If the infinity of the sea may call out thus, perhaps when a man is growing old, calls come to him, too, from another infinity still darker and more deeply mysterious; and the more he is wearied by life the dearer are those calls to him.
I think that the leaf of a tree, the meanest insect on which we trample, are in themselves arguments more conclusive than any which can be adduced that some vast intellect animates Infinity.
There is a fifth dimension, beyond that which is known to man. It is a dimension as vast as space and as timeless as infinity. It is the middle ground between light and shadow, between science and superstition.
If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all.
The last proceeding of reason is to recognize that there is an infinity of things which are beyond it. There is nothing so conformable to reason as this disavowal of reason.
Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
By confronting us with irreducible mysteries that stretch our daily vision to include infinity, nature opens an inviting and guiding path toward a spiritual life.
Yet it is in this loneliness that the deepest activities begin. It is here that you discover act without motion, labor that is profound repose, vision in obscurity, and, beyond all desire, a fulfillment whose limits extend to infinity.
