God made the integers; all the rest is the work of Man.
Leopold KroneckerTag: god math mathematics numbers
It (proof by contradiction) is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
G.H. HardyTag: mathematics
Science attempts to find logic and simplicity in nature. Mathematics attempts to establish order and simplicity in human thought.
Edward TellerTag: science nature thought logic simplicity math mathematics human-thought
I entered Princeton University as a graduate student in 1959, when the Department of Mathematics was housed in the old Fine Hall. This legendary facility was marvellous in stimulating interaction among the graduate students and between the graduate students and the faculty. The faculty offered few formal courses, and essentially none of them were at the beginning graduate level. Instead the students were expected to learn the necessary background material by reading books and papers and by organising seminars among themselves. It was a stimulating environment but not an easy one for a student like me, who had come with only a spotty background. Fortunately I had an excellent group of classmates, and in retrospect I think the "Princeton method" of that period was quite effective.
Phillip A. GriffithsTag: math biography mathematics legendary mathematician institute-for-advanced-study graduate-student princeton princeton-method princeton-university
...I guess I can put two and two together."
"Sometimes the answer's four," I said, "and sometimes it's twenty-two...
Tag: humor funny mathematics smartass
Obscenity is a function of culture - a function in the mathematical sense, I mean, its value changing with that of the variables on which it depends.
A.P. .Tag: culture mathematics obscenity
Mathematics is a terrible calling. It’s as merciless as gravity. It swallows the soul. There’s a point near a black hole called the last stable orbit. Once you drop below that radius, no force in the universe can stop you falling all the way in. That’s what happened to your mother – she swam too close to theory, fell below the last stable orbit.
Alastair ReynoldsTag: mathematics
Logic, it is often said, is the study of valid arguments. It is a systematic attempt to distinguish valid arguments from invalid arguments.
W.H. Newton-SmithTag: philosophy logic definition math study mathematics arguments argumentation validity philosopher-of-science philosophy-of-logic valid-arguments
Mathematics has the inhuman quality of starlight, brilliant and sharp, but cold.
Hermann WeylTag: mathematics
If a mathematician wishes to disparage the work of one of his colleagues, say, A, the most effective method he finds for doing this is to ask where the results can be applied. The hard pressed man, with his back against the wall, finally unearths the researches of another mathematician B as the locus of the application of his own results. If next B is plagued with a similar question, he will refer to another mathematician C. After a few steps of this kind we find ourselves referred back to the researches of A, and in this way the chain closes.
Alfred TarskiTag: science logic math mathematics semantics logistician
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