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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 well-founded 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 Semi-measures. 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 non-chaotic 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: