PHIL 4140 - Intermediate Logic

Typical Schedule of Topics

Part I - Metalogic and Alternative Systems

Date Topic
Week 1 Truth-Functional Logic: Formal Syntax, Semantics, and basic Metalogic
Week 2 Quantificational Logic: Formal Syntax, Semantics, and basic Metalogic
Week 3 Truth Trees: Proofs, Soundness, and Completeness
Week 4 Axiom Systems: Axioms, Independence, and Completeness
Week 5 Natural Deduction: Alternative Systems, Equivalence, Soundness, and Completeness
Week 6 Sequent Systems
Week 7 Modal Logic
Week 8 Existential Graphs

Part II - Applications

Date Topic
Week 9 Automated Theorem Proving: Resolution and Davis Putnam
Week 10 Logic Programming: Prolog and other systems
Week 11 Logic Puzzles: Word Puzzles and Spatial Puzzles
Week 12 Set Theory: Axioms and Proofs
Week 13 Number Theory: Axioms, Proofs, and Models
Week 14 Student Presentations
Week 15 Student Presentations

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