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PHIL 405

Advanced Logic and Metalogic

Philosophy College of Humanities

Course Description

Completeness, soundness, and undecidability of first-order logic; incompleteness of arithmetic; treatment of related philosophical topics and of nonclassical topics as time permits.

When Taught

Winter

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Recommended

Phil 300 or equivalent

Title

History

Learning Outcome

Prove and understand the completeness and consistency of first-order logic as well as the Solem-Löwenheim theorem, Gödel incompleteness, Church's undecidability theorem, etc.

Title

Figures and Topics

Learning Outcome

Formulate and evaluate the philosophical ramifications of these theorems.