"How is it that mathematical ideas can be communicated in this way? I imagine that whenever the mind perceives a mathe…"

"Some years ago, I wrote a book called The Emperor's New Mind and that book was describing a point of view I had about…"

"Understanding is, after all, what science is all about — and science is a great deal more than mindless computation."

"Does life in some way make use of the potentiality for vast quantum superpositions, as would be required for serious …"

"Moreover, the complete details of the complication of the structure of Mandelbrot's set cannot really be fully compre…"

"I have been arguing that such 'God-given' mathematical ideas should have some kind of timeless existence, independent…"

"Gödel's theorem shows that this point of view is not really a tenable one in a fundamental philosophy of mathematics.…"

"It seems to me that we must make a distinction between what is "objective" and what is "measurable" in discussing the…"

"What right do we have to claim, as some might, that human beings are the only inhabitants of our planet blessed with …"

"According to this view, the mind is always capable of this direct contact. But only a little may come through at a ti…"