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Part I. Propositional Logic
Chapter 1. Language
Chapter 2. Truth Assignments
Chapter 3. Deductions
Chapter 4. Soundness and Completeness
Part II. First-Order Logic
Chapter 5. Languages
Chapter 6. Structures and Models
Chapter 7. Deductions
Chapter 8. Soundness and Completeness
Chapter 9. Applications of Compactness
Part III. Computability
Chapter 10. Turing Machines
Chapter 11. Variations and Simulations
Chapter 12. Computable and Non-Computable Functions
Chapter 13. Recursive Functions
Chapter 14. Characterizing Computability
Part IV. Incompleteness
Chapter 15. Preliminaries
Chapter 16. Coding First-Order Logic
Chapter 17. Defining Recursive Functions In Arithmetic
Chapter 18. The Incompleteness Theorem
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A Problem Course in Mathematical Logic
Version 1.6
Stefan Bilaniuk
Version 1.6
Stefan Bilaniuk
Table of Contents
Chapter 1. Language
Chapter 2. Truth Assignments
Chapter 3. Deductions
Chapter 4. Soundness and Completeness
Part II. First-Order Logic
Chapter 5. Languages
Chapter 6. Structures and Models
Chapter 7. Deductions
Chapter 8. Soundness and Completeness
Chapter 9. Applications of Compactness
Part III. Computability
Chapter 10. Turing Machines
Chapter 11. Variations and Simulations
Chapter 12. Computable and Non-Computable Functions
Chapter 13. Recursive Functions
Chapter 14. Characterizing Computability
Part IV. Incompleteness
Chapter 15. Preliminaries
Chapter 16. Coding First-Order Logic
Chapter 17. Defining Recursive Functions In Arithmetic
Chapter 18. The Incompleteness Theorem
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Click Here To Download
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