Duality and Definability in First Order Logic.
- 1st ed.
- 1 online resource (122 pages)
- Memoirs of the American Mathematical Society ; v.105 .
- Memoirs of the American Mathematical Society .
Intro -- Table Of Contents -- Abstract -- Introduction -- 1. Beth's theorem for propositional logic -- 2. Factorizations in 2-categories -- 3. Definable functors -- 4. Basic notions for duality -- 5. The Stone-type adjunction for Boolean pretoposes and ultragroupoids -- 6. The syntax of special ultramorphisms -- 7. The semantics of special ultramorphisms -- 8. The duality theorem -- 9. Preparing a functor specification -- 10. Lifting Zawadowski's argument to ultra*morphisms -- 11. The operations in BP* and UG -- 12. Conclusion -- References.
9781470400804
First-order logic. Duality theory (Mathematics). Toposes.