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UC Davis Department of Philosophy

Metalogic

Philosophy Department

1240 Social Sciences and Humanities
University of California, Davis
One Shields Avenue
Davis, CA 95616

Phone: (530) 752-0607

Fax: (530) 752-8964


Thoralf Skolem

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This is the material covered in the course.

  • January 9: History of Metalogic
  • January 11: Sets and Functions
  • January 18: Inductive Definitions, Metalogical Proofs, Problem Set 1
  • January 23: Preliminaries through Theorem 4
  • January 25: Theorem 5 through Exercise 7
  • January 30: Semantics for Propositional Logic
  • February 6: Proof Theory for Propositional Logic through Proposition 25
  • February 13: Consistency, Soundness, Completeness of Propositional Logic
  • February 20: Syntax of Predicate Logic
  • February 22: Semantics of Predicate Logic through Local Determination
  • February 27: Substitution Theorem, Proof Theory of Predicate Logic through Ax0
  • March 1: Proof Theory of Predicate Logic, Ax1 through Lemma 65
  • March 6: Proof Theory of Predicate Logic, Lemma 65 to end, Soundness of Predicate Logic
  • March 8: Completeness of Predicate Logic to beginning of Theorem 80