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Results tagged with ho.history-overview
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user 2672
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
29
votes
2
answers
2k
views
Why did Dedekind claim that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ hadn't been proved before?
In a letter to Lipschitz (1876) Dedekind doubts that $\sqrt{2}\cdot\sqrt{3}=\sqrt{6}$ had been proved before:
quoted from Leo Corry, Modern algebra, German original:
Why did Dedekind doubt that $ …
- 9,720
9
votes
Examples of results which were surprising but later shown to be natural.
In his Indiscrete Thoughts Gian-Carlo Rota writes:
Every mathematical theorem is
eventually proved trivial. The
mathematician's ideal of truth is
triviality, and the community of
mathemati …
10
votes
Thinking and Explaining
I'd like to take the occasion and sketch my view on reconstruction problems in graph theory: I see a graph as a set of subjects with a relation between (some of) them. Each node (= subject) has a limi …
43
votes
5
answers
9k
views
Origins of names of algebraic structures
Consider the names of basic algebraic structures: 'group', 'ring', 'space', 'field', 'Körper', even the name 'structure' itself - all of them time-honoured terms, deeply rooted in our history and cul …