Ideas from 'Introduction to 'Absolute Generality'' by Rayo,A/Uzquiasno,G [2006], by Theme Structure
[found in 'Absolute Generality' (ed/tr Rayo,A/Uzquiano,G) [OUP 2006,9780199276431]].
Click on the Idea Number for the full details 
back to texts

expand these ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
13451

The two best understood conceptions of set are the Iterative and the Limitation of Size

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
13452

Some set theories give up Separation in exchange for a universal set

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
13449

We could have unrestricted quantification without having an allinclusive domain

13450

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals

5. Theory of Logic / G. Quantification / 5. SecondOrder Quantification
13453

Perhaps secondorder quantifications cover concepts of objects, rather than plain objects

19. Language / H. Pragmatics / 5. Contextual Meaning
13448

The domain of an assertion is restricted by context, either semantically or pragmatically
