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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
8
votes
"Mächtigkeit" versus "Kardinalität"?
The two terms "Mächtigkeit" and "Kardinalität" do indeed mean the same in Cantor's set theory; also today, for instance in lectures in German and Swiss universities, the terms are used as synonyms for …
8
votes
Does there exist a comprehensive compilation of Erdos's open problems?
For graph theory problems, I find this the most comprehensive resource: http://www.math.ucsd.edu/~erdosproblems/
2
votes
Tweetable Mathematics
Erdös-Faber-Lovasz conjecture: If $n$ copies of $K_n$ have pairwise intersection of $\leq 1$, you can color all points with $n$ colors.
-1
votes
Each mathematician has only a few tricks
A trick that is used daily is Zorn's Lemma. Sure, every mathematician knows it, but it certainly helped prove non-trivial propositions and it is in daily use. I would consider it in a list of the Top …