# Philosophy Of Mathematic

## COGS-6440

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.

? credits
Prereqs:
none

# Past Term Data
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