Concept
G. H. Hardy
Overview
Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics.
Hardy is famed for his 1940 essay A Mathematician's Apology, often considered one of the best insights into the mind of a working mathematician written for the layperson. The novelist Graham Greene ranked it with the notebooks of Henry James as "the best account of what it was like to be a creative artist."
Starting in 1914, Hardy was the mentor of the Indian mathematician Srinivasa Ramanujan, a relationship that has become celebrated. Hardy almost immediately recognised Ramanujan's extraordinary albeit untutored brilliance, and Hardy and Ramanujan became close collaborators. When asked by a young Paul Erdős what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. He remarked that on a scale of mathematical ability, his ability would be 25, Littlewood would be 30, Hilbert would be 80, and Ramanujan would be 100.
In a lecture on Ramanujan, Hardy said that "my association with him is the one romantic incident in my life".
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
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It showed at once that numerical measurement of lengths, if it was to be made accurate, must require an arithmetic more advanced and more difficult than any that the ancients possessed. They therefore set to work to reconstruct geometry on a basis which did not assume the universal possibility of numerical measurement--a reconstruction which, as may be seen in Euclid, they effected with extraordinary skill and with…
Bertrand Russell, Our Knowledge of the External World as a Field for Scientific Method in Philosophy
States what G. H. Hardy is; the author is tied to G. H. Hardy in the knowledge graph.
The notion of continuity depends upon that of _order_, since continuity is merely a particular type of order. Mathematics has, in modern times, brought order into greater and greater prominence. In former days, it was supposed (and philosophers are still apt to suppose) that quantity was the fundamental notion of mathematics.
Bertrand Russell, Mysticism and Logic and Other Essays
States what G. H. Hardy is; the author is tied to G. H. Hardy in the knowledge graph.
To these two must be added, in geometry, a third law of equality, namely, that lines, surfaces, or solid spaces, which can be so applied to one another as to coincide, are equal.
John Stuart Mill, A System of Logic, Ratiocinative and Inductive
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Philosophers who discussed G. H. Hardy
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