If we do not succeed in solving a mathematical problem, the reason fre — David Hilbert

"Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics."

"Good, he did not have enough imagination to become a mathematician."

"One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it."

"Aus dem Paradies, das Cantor uns geschaffen, soll uns niemand vertreiben können."

"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?"

"Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs."

"As long as you keep getting born, it’s okay to die sometimes."

"The smart way to keep people passive and obedient is to strictly limit the spectrum of acceptable opinion, but allow very lively debate within that spectrum - even encourage the more critical and dissident views. That gives people the sense that theres free thinking going on, while all the time the presuppositions of the system are being reinforced by the limits put on the range of the debate."

"History is a strange experience. The world is quite small now; but history is large and deep. Sometimes you can go much farther by sitting in your own home and reading a book of history, than by getting onto a ship or an airplane and traveling a thousand miles. When you go to Mexico City through space, you find it a sort of cross between modern Madrid and modern Chicago, with additions of its own; but if you go to Mexico City through history, back only 500 years, you will find it as distant as though it were on another planet: inhabited by cultivated barbarians, sensitive and cruel, highly organized and still in the Copper Age, a collection of startling, of unbelievable contrasts."

"As soon as a thought or word becomes a tool, one can dispense with actually ‘thinking’ it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics—the model of all neo-positivistic thinking—lies in just this ‘intellectual economy.’ Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. … Reason … becomes a fetish, a magic entity that is accepted rather than intellectually experienced."

"Our feminist culture at the present moment is completely dependent on capitalism. My grandmother was still scrubbing clothes on the back porch on a washboard!"

"A word of the faith that never balks, Here or henceforward it is all the same to me, I accept Time absolutely. It alone is without flaw, it alone rounds and completes all, That mystic baffling wonder alone completes all. (23)"