"[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 …"

"If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the…"

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