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Earliest Uses of Some Words of Mathematics

3 点作者 the-mitr大约 1 年前

1 comment

nyc111大约 1 年前
Classic site but I noticed this claim about Euclid&#x27;s proof of infinitude of primes which is always disputed:<p><a href="https:&#x2F;&#x2F;mathshistory.st-andrews.ac.uk&#x2F;HistTopics&#x2F;Prime_numbers&#x2F;" rel="nofollow">https:&#x2F;&#x2F;mathshistory.st-andrews.ac.uk&#x2F;HistTopics&#x2F;Prime_numbe...</a><p>This is one of the first proofs known which uses the method of contradiction to establish a result.<p><a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Euclid%27s_theorem" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Euclid%27s_theorem</a><p>Euclid is often erroneously reported to have proved this result by contradiction beginning with the assumption that the finite set initially considered contains all prime numbers, though it is actually a proof by cases, a direct proof method.