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Colloquium - Scott Cramer, Rutgers University

Date: Tuesday, April 26, 2016

Time: 12:30

Location: Rockefeller Hall 310

Title: Big finite numbers and big infinite numbers

Abstract: The following game is fun to play with a friend: each of you secretly writes down a number on a sheet of paper. Whoever's number is larger wins that round. Keep playing rounds until one of you is consistently winning every round. Then that person wins!

I will give a strategy for winning this game, which will involve considering certain algebraic systems which do not satisfy associativity. Unfortunately, in order for my strategy to work, I need to assume that certain big infinite numbers called large cardinals exist. This seems like a strange situation, but I will try to convince you that this fact suggests not only that these large cardinals do exist, but that they're actually interesting objects to study. 

Pizza lunch at noon in Rocky305