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Graduate Seminar
Devi Borg Carnegie Mellon University Title: Some views of Induction Abstract: We'll begin with a brief review of mathematical induction in a few of forms: on integers, on ordinals, structural induction and generally on wellfounded sets. We'll then familiarize ourselves with how philosophers use the word to talk about Hume's Problem of Induction and continue on to some recent mathematical solutions to this problem using Universal Semimeasures. We'll then touch on some even more recent work on what's called Logical Induction that ties together these two strands of thought: reasoning about abstract mathematical objects like the integers and reasoning about some relatively nonchaotic real world out there. Date: Tuesday, January 31, 2017 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Yangxi Ou Note: Video on Youtube: https://youtu.be/mgOkGimQBjo 