Table of Contents

1. Mathematics = Set Theory? 2. What Categories Are 3. Arrows Instead of Epsilon 4. Introducing Topoi 5. Topos Structure: First Steps 6. Logic Classically Conceived 7. Algebra of Subobjects 8. Institutionism and Its Logic 9. Functors 10. Set Concepts and Validity 11. Elementary Truth 12. Categorial Set Theory 13. Arithmetic 14. Local Truth 15. Adjointness and Quantifiers 16. Logical Geometry References Catalogue of Notation Index of Definitions