Hilbert Quotes

“To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the question of consistency ... . The Realist position is probably the one which most mathematicians would prefer to take. It is not until he becomes aware of some of the difficulties in set theory that he would even begin to question it. If these difficulties particularly upset him, he will rush to the shelter of Formalism, while his normal position will be somewhere between the two, trying to enjoy the best of two worlds.”

“To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the question of consistency ... . The Realist position is probably the one which most mathematicians would prefer to take. It is not until he becomes aware of some of the difficulties in set theory that he would even begin to question it. If these difficulties particularly upset him, he will rush to the shelter of Formalism, while his normal position will be somewhere between the two, trying to enjoy the best of two worlds.”

“Plenty of mathematicians, Hardy knew, could follow a step-by-step discursus unflaggingly—yet counted for nothing beside Ramanujan. Years later, he would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.”

“The art of doing mathematics consists in finding that special case which contains all the germs of generality.”

“Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.”

“The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.”

“Every town has a psychopath or two. Not just the everyday crazy person, either. Not like Crazy Larry, the paint huffing weirdo peddling around town on a child-sized Huffy ranting about the end of the world, or the old lady dressed in rags who hands out filthy doll clothes to the kiddies. I'm talking about the cold, never remorseful lunatic, who may never have seemed insane up until the day he hacked apart his mother and shoved her stinking corpse into the attic. This town is overflowing with them; bloodcurdling murderers like Kenny Wayne Hilbert, Charlie Fender…Orland Winthro. And Al, the crazy had to come from somewhere.”