Combining Texts

All the ideas for 'Through the Looking Glass', 'On the Frame of Reference' and 'Introduction to 'Absolute Generality''

expand these ideas     |    start again     |     specify just one area for these texts

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8 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 [Rayo/Uzquiano]

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 [Rayo/Uzquiano]

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

13449

We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]

13450

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10009

Substitutional quantification is just a variant of Tarski's account [Wallace, by Baldwin]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

13453

Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]

7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing

21982

I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]

19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning

13448

The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]