Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Intro to 'Philosophy of Logic''

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10 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

21959

Metaphysics is the most general attempt to make sense of things [Moore,AW]

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic

9456	Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

9457	The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette]

5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism

9458	Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette]

5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism

9461	Intensionalists say meaning is determined by the possession of properties [Jacquette]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

21958

Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]

19. Language / C. Assigning Meanings / 7. Extensional Semantics

9460	Extensionalist semantics forbids reference to nonexistent objects [Jacquette]

9459	Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette]