A Mathematician's Apology¶
Hardy, G. H. (1940). A Mathematician's Apology. Cambridge University Press.
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1 citation across 1 artifact.
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Primes¶
- Refactoring
- Suppose a textbook proof of the irrationality of \(\sqrt{2}\) is tangled: it mixes the parity argument with an unnecessary appeal to the fundamental theorem of arithmetic and repeats a divisibility lemma inline twice.
This sourcePresents the classical reductio proof of the irrationality of √2 (attributed to the Pythagoreans) as an exemplar of economical, surprising proof — a standard source for the parity/infinite-descent argument.
- Suppose a textbook proof of the irrationality of \(\sqrt{2}\) is tangled: it mixes the parity argument with an unnecessary appeal to the fundamental theorem of arithmetic and repeats a divisibility lemma inline twice.
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Registry ID ref:6564b6c9433b · see in the full table