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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
10
votes
Thom's Principle: rich structures are more numerous in low dimension
Pro
I think the examples given are instances of Guy's "strong law of small numbers". That seems at least poetic reason for low-dimensional specializations of your favorite theory to be different in c …
3
votes
What is the earliest definition given by a universal mapping property?
I'm betting on Supremum.