Combining Texts

All the ideas for 'fragments/reports', 'On the General Idea of Proof Theory' and 'Introduction to 'Absolute Generality''

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9 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 / B. Logical Consequence / 1. Logical Consequence

13827

Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]

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 / 5. Second-Order Quantification

13453

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

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

13826

Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]

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]