Sets, Models and Proofs

Both authors have extensive experience in teaching the material covered in this book, and have been active researchers in mathematical logic and related fields. Ieke Moerdijk co-authored the influential Springer text  "Sheaves in Geometry and Logic, a First Course in Topos Theory", together with Saunders Mac Lane. Jaap van Oosten is an expert on realizability models for systems of constructive logic, and is the author of a comprehensive monograph on the subject: "Realizability: An Introduction to its Categorical Side" .

• Introduction.- 1 Sets.- 2 Models.- 3 Proofs.- 4 Sets Again.- Appendix: Topics for Further Study.- Photo Credits.- Bibliography.- Index.

“This text is very well written and does an excellent job introducing the subject matter to a student. Even if your school does not have a course covering these topics, I would recommend the text for a student conducting an independent study of the material.” (Geoffrey D. Dietz, MAA Reviews, July 28, 2019)“This book is one of a few excellent textbooks for a one-semester introductory mathematical logic course for undergraduate students with relevant majors. It achieves a good balance between depth and brevity. It fits the needs of a student who wants to explore the subject but does not want to be bogged down by excessive demands of rigor before appreciation for mathematical logic can be developed. ... This book is short but self-contained and … interesting exercises complement the main theorems.” (Renling Jin, Mathematical Reviews, September, 2019)