Fall Quote by Georg Cantor

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite…

— Georg Cantor

“In Cantor's mind there were an infinite number of infinities-the transfinite numbers-each nested in the other. Aleph 0 is smaller than Aleph 1, which…

— Charles Seife

Infinities and indivisibles transcend our finite understanding, the former on account of their magnitude, the latter because of their smallness; Imagine what they are…

— Galileo Galilei

“I am not qualified to say whether or not God exists. I kind of doubt He does. Nevertheless I'm always saying that the SF(…

— Paul Erdős

Some infinities are bigger than other infinities.

— John Green

For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.

— Hermann Weyl

Some infinities are bigger than others.

— Jade

“This is the definition of the infinite: it is something that can stay the same size even when you subtract from it.”

— Charles Seife

“Nature constantly begins the same things over again, years, days, hours, spaces too. And numbers run end to end, one after another. This makes…

— Blaise Pascal

The continuum is that which is divisible into indivisibles that are infinitely divisible.

— Aristotle

Transcendental [numbers], They transcend the power of algebraic methods.

— Leonhard Euler

... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have put into…

— Hermann Weyl