Zero and the empty set

5:30 pm Thursday, April 15, 2010
Bjorn Poonen (MIT)


What is 0^0? Can one give a proof by induction without a base case? What is the determinant of a 0 by 0 matrix? Is there a ring with just one element? Does a vector space with no nonzero vectors have a basis? I will argue with the audience about the answers to such questions.

 

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