Philosophy Of Mathematics

PHIL-4440

This course reviews the fundamental epistemological, metaphysical, and logical challenges in the foundations of mathematics. Historical discussions of the paradoxes arising during the foundational crisis in mathematics, e.g., the inconsistency of class theory, the discovery of Gödel's incompleteness theorems, and the collapse of the Hilbert program set the stage for investigation into what mathematical entities are, how we can come to have reliable knowledge of them, and what choices we ought to make in the face of paradoxes or contradictions in our representations of mathematical truth.

4 credits
Prereqs:
none

Past Term Data

Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
Spring Summer Fall
(Session 1) (Session 2)
2025
2024
2023
2022
2021
2020
2019
2018
2017
2016
2015
Knowledge And Rationality (4c)
  • John R Milanese
Seats Taken: 25/25
2014
Knowledge And Rationality (4c)
  • Anjeanette Marie Bryne Emeka
  • John R Milanese
Seats Taken: 25/21
2013
Knowledge And Rationality (4c)
  • David Matthew Krueger
Seats Taken: 18/20
2012
Knowledge And Rationality (4c)
  • David Matthew Krueger
Seats Taken: 20/20
2011
2010
Knowledge And Rationality (4c)
  • James T. Fahey
Seats Taken: 16/20
2009
2008
Knowledge, Belief, And Cog (4c)
  • James T. Fahey
Seats Taken: 12/20
2007
2006
Knowledge, Belief, And Cog (4c)
  • James T. Fahey
Seats Taken: 9/15
2005
2004
2003
Knowledge, Belief, And Cog (4c)
  • James T. Fahey
Seats Taken: 12/15
2002
2001
2000
Knowledge, Belief, And Cog (4c)
  • James T. Fahey
Seats Taken: 8/25
1999
1998