Combining Texts

All the ideas for 'works', 'Abstract Objects:intro to Axiomatic Metaphysics' and 'Introduction to 'Absolute Generality''

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10 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 / 5. Second-Order Quantification

13453

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

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta

10414

Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

10415

Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]

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]

29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy

16713

Philosophers are the forefathers of heretics [Tertullian]

29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism

6610	I believe because it is absurd [Tertullian]