"[Mathematics is] the science that draws necessary conclusions."

"Over time you will get the wrong answer more times than you get the right answer. That’s not a problem! You’ve learnt…"

"Rather like the way the Hubble Space Telescope has made a significant contribution to astronomy in enabling astronome…"

"Any author who uses mathematics should always express in ordinary language the meaning of the assumptions he admits, …"

"Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the ex…"

"In doing mathematics, I express something personal. It is a source of joy to know that, despite this personal aspect,…"

"It was mathematics, the non-empirical science par excellence, wherein the mind appears to play only with itself, that…"

"Now comes the Einstein–Podolsky–Rosen entangled state. Now I see faces, people saying, "Oh..?" Don't worry! When you …"

"Confused is of course the best state a mathematician can be in; the struggle out of that state is the primary drive f…"

"When I have needed solace and I have had to depend on my own resources, the mathematics has been there. I am grateful."