A Course in Mathematical Logic

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.

Inhalt

1. Beginning Mathematical Logic. 2. First-Order Logic. 3. First-Order Logic (continued). 4. Boolean Algebras. 5. Model Theory. 6. Recursion Theory. 7. Logic - Limitative Results. 8. Recursion Theory (continued). 9. Intuitionistic First-Order Logic. 10. Axiomatic Set Theory. 11. Nonstandard Analysis. Bibliography.