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Don't use words too big for the subject. Don't say 'infinitely' when you mean 'very'; otherwise you'll have no word left when you want to talk about something really infinite.

Infinity is a way to describe the incomprehensible to the human mind. In a way, it notates a mystery. That kind of mystery exists in relationships. A lifetime is not enough to know someone else. It provides a brief glimpse.

Mathematics cannot handle physical quantities like density that literally go to infinity.

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

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 incapable of conceiving infinity, and yet I do not accept finity.

Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.

Infinites, when considered absolutely without any restriction or limitation, are neither equal nor unequal, nor have any certain proportion one to another, and therefore, the principle that all infinites are equal is a precarious one.

Think of something finite molded into the infinite, and you think of man.