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"We are bits of stellar matter that got cold by accident, bits of a star gone wrong."

"We used to think that if we knew one, we knew two, because one and one are two. We are finding that we must learn a great deal more about 'and'."

"Proof is the idol before whom the pure mathematician tortures himself."

"Science is one thing, wisdom is another. Science is an edged tool, with which men play like children, and cut their own fingers."

"We often think that when we have completed our study of one we know all about two, because 'two' is 'one and one.' We forget that we have still to make of a study of 'and.'"

"It is impossible to trap modern physics into predicting anything with perfect determinism because it deals with probabilities from the outset."

"We used to think that if we knew one, we knew two, because one and one are two. We are finding that we must learn a great deal more about 'and'."

"In mathematics you don't understand things. You just get used to them."

"As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."

"Mathematics is the queen of the sciences."

"I went off to college planning to major in math or philosophy-- of course, both those ideas are really the same idea."