Combining Texts

All the ideas for 'Improvement of Understanding', 'Introduction to 'Absolute Generality'' and 'Review of Parsons (1983)'

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

---

9 ideas

2. Reason / D. Definition / 2. Aims of Definition

16541

All the intrinsic properties of a thing should be deducible from its definition [Spinoza]

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 / 5. Second-Order Quantification

13453

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

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18198

Mathematics is part of science; transfinite mathematics I take as mostly uninterpreted [Quine]

14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence

13073

To understand the properties we must know the essence, as with a circle [Spinoza]

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]