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Results tagged with ho.history-overview
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user 5903
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
9
votes
"Mächtigkeit" versus "Kardinalität"?
Here is Cantor's Beiträge zur Begründung der transfiniten Mengenlehre (Erster Artikel). Read the bottom four lines on the first page: ",Mächtigkeit' oder ,Cardinalzahl' von $M$ nennen wir $\ldots$". T …
- 11.4k
11
votes
4
answers
2k
views
Earliest diagonal proof of the uncountability of the reals.
I cited the diagonal proof of the uncountability of the reals as an example of a `common false belief' in mathematics, not because there is anything wrong with the proof but because it is commonly bel …
- 11.4k
6
votes
Who was the first to propose a formal definition of infinity?
In the preface of the second edition of Was sind und was sollen die Zahlen Dedekind mentions another definition of `finite': a set $S$ is called finite if there is a map $\varphi$ from $S$ to itself s …
- 11.4k
13
votes
Accepted
Are k-spaces named for Kelley?
Engelking cites this paper as the place where $k$-spaces were introduced, though the author, David Gale, says the notion was first defined by Hurewicz. The $k$ probably refers to the German `kompakt'. …
- 11.4k
23
votes
What are examples of mathematical concepts named after the wrong people? (Stigler's law)
The Cantor-Schroeder-Bernstein theorem was proved by Dedekind; this link is to Dedekind's collected works and there is an informative note at the end.
9
votes
Construction of nonmeasurable sets
Here is an earlier effort of Sierpiński: Sur une propriété de la décomposition de M. Vitali, Mathematica 3, 30-32 (1930).
He took "Vitali's Decomposition", that is, the family of cosets of $\mathbb{Q} …
- 11.4k