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David Hilbert Quotes

David Hilbert quote from classy quote

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.

~ Robert Kanigel

Robert Kanigel David Hilbert G H Hardy Gh Hardy Godfrey Hardy Godfrey Harold Hardy Hardy Hilbert John Edensor Littlewood John Littlewood Littlewood Math Mathematicians Mathematics Ramanujan Science Srinivasa Ramanujan

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.

~ Paul Cohen

Paul Cohen Average Consistency David Hilbert Game Hilbert Math Mathematician Mathematics Question Science Set Theory
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