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The seriousness of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects.
G. H. Hardy
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G. H. Hardy
Age: 70 †
Born: 1877
Born: February 7
Died: 1947
Died: December 1
Academic
Mathematician
University Teacher
Cranleigh
Surrey
G. H. Hardy
Godfrey Harold Hardy
Godfrey·Harold·Hardy
Godfrey Harold
Lies
Seriousness
Usually
Practicals
Lying
Significance
Ideas
Practical
Consequences
Negligible
Mathematical
Theorem
Mathematics
Theorems
Consequence
Connects
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The case for my life... is this: that I have added something to knowledge, and helped others to add more
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I wrote a great deal during the next ten [early] years,but very little of any importance there are not more than four or five papers which I can still remember with some satisfaction.
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Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
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Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. Immortality may be a silly word, but probably a mathematician has the best chance of whatever it may mean.
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What we do may be small, but it has a certain character of permanence and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men.
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No mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game
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As Littlewood said to me once [of the ancient Greeks], they are not clever school boys or scholarship candidates, but Fellows of another college.
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I do not know an instance of a major mathematical advance initiated by a man past fifty
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A chess problem is simply an exercise in pure mathematics.
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Exposition, criticism, appreciation, is work for second-rate minds.
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A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.
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Good work is not done by 'humble' men
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Young men should prove theorems, old men should write books.
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All analysts spend half their time hunting through the literature for inequalities which they want to use and cannot prove.
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The mathematician's patterns, like the painter's or the poet's, must be beautiful.
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It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.
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A science is said to be useful if its development tends to accentuate the existing inequalities in the distribution of wealth, or more directly promotes the destruction of human life.
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Chess problems are the hymn-tunes of mathematics.
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317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way.
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