If 'bounded by a surface' is the definition of body there cannot be an infinite body either intelligible or sensible.
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
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.
The sublime in art is the attempt to express the infinite without finding in the realm of phenomena any object which proves itself fitting for this representation.
He considered it a shame when people couldn't grasp the infinite-a failure not just of imagination but of simple vision.
I can't help it, the idea of the infinite torments me.
No contradictions will arise as long as Finite Man does not mistake the infinite for something fixed, as long as he is not led by an acquired habit of mind to regard the infinite as something bounded.
The poetic notion of infinity is far greater than that which is sponsored by any creed.
The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.
There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.
