a mathematician's apology quotes
Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. … A mathematician may still be competent enough at sixty, but it is useless to expect him to have original ideas.”, “[I was advised] to read Jordan's 'Cours d'analyse'; and I shall never forget the astonishment with which I read that remarkable work, the first inspiration for so many mathematicians of my generation, and learnt for the first time as I read it what mathematics really meant.”, “I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply our notes of our observations.
My answers will be, for the most part, such as are expected from a mathematician: I think that it is worthwhile, that there is ample justification. So Greek mathematics is ‘permanent’, more permanent even than Greek literature. Welcome back. In A Mathematician's Apology, G. H. Hardy defined a set of criteria for mathematical beauty. The creative life [is] the only one for a serious man. But I should say at once that my defence of mathematics will be a defence of myself, and that my apology is bound to be to some extent egotistical.
“Immortality” may be a silly word, but probably a mathematician has the best chance of whatever it may mean.”, “Most people have some appreciation of mathematics, just as most people can enjoy a pleasant tune; and there are probably more people really interested in mathematics than in music. (b) "The mathematician’s patterns, like the painter’s or the poet’s must be beautiful; the ideas like the colours or the words, must fit together in a …
But I should say at once that my defense of mathematics will be a defense of myself, and that my apology is bound to be to some extent egotistical. I The Babylonian and Assyrian civilizations have perished; Hammurabi, Sargon and Nebuchadnezzar are empty names; yet Babylonian mathematics is still interesting, and the Babylonian scale of 60 is still used in Astronomy. Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. I can hardly do better than to begin with G.H. One of his most credited works among many was reforming British mathematics by including ‘Rigour’ into it. It is one of the first duties of a professor, for example, in any subject, to exaggerate a little both the importance of his subject and his own importance in it. Young men should prove theorems, old men should write books. This view has been held, in one form or another, by many philosophers of high reputation from Plato onwards, and I shall use the language which is natural to a man who holds it.”, “A mathematician, like a painter or a poet, is a maker of patterns. No other subject has such clear-cut or unanimously accepted standards, and the men who are remembered are almost always the men who merit it. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics. [Regarding mathematics,] there are now few studies more generally recognized, for good reasons or bad, as profitable and praiseworthy. Besides his works, his essay on aesthetics of mathematics ‘A Mathematicians Apology’ is one of the best visions for a mathematician written in the layman’s language. ... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.”. We may consider, for example, the career of a man who was certainly one of the world's three greatest mathematicians. I”. He must shut his eyes a little and think a little more of his subject and himself than they deserve. A mathematician, like a painter or a poet, is a maker of patterns.
The first is whether the work which he does is worth doing; and the second is why he does it, whatever its value may be.”, “The proof is by reductio ad absurdum, and reductio ad absurdum, which Euclid loved so much, is one of a mathematician’s finest weapons5. He referred most of his work as pure mathematics rather than applied mathematics. Beauty is the first test: there is no permanent place in the world for ugly mathematics.”, “There is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain.”, “What is the proper justification of a mathematician’s life? I should not think it worth while to apologize for my subject if I regarded myself as one of its failures. Just a moment while we sign you in to your Goodreads account. I am interested in mathematics only as a creative art. By definition, there are already enough … Real mathematics must be justified as art if it can be justified at all. But on the whole the history of science is fair, and this is particularly true in mathematics. A Mathematician's Apology Quotes Showing 1-30 of 63. But I should say at once that my defense of mathematics will be a defense of myself, and that my apology is bound to be to some extent egotistical. This may be true; indeed it is probable, since the sensational triumphs of Einstein, that stellar astronomy and atomic physics are the only sciences which stand higher in popular estimation.”, “Imaginary’ universes are so much more beautiful than this stupidly constructed ‘real’ one; and most of the finest products of an applied mathematician’s fancy must be rejected, as soon as they have been created, for the brutal but sufficient reason that they do not fit the facts.”, “The geometer offers to the physicist a whole set of maps from which to choose. ‘Immortality’ may be a silly word, but probably a mathematician has the best chance of whatever it may mean.”, “No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. If his patterns are more permanent than theirs, it is because they are made with ideas.”, “Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons.
Beauty is the first test: there is no permanent place in the world for ugly mathematics."
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas like the colours or the words, must fit together in a harmonious way. Hardy, A Mathematician's Apology. Good work is no done by "humble" men. He must shut his eyes a little and think a little more of his subject and himself than they deserve.
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