Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'works'

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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]

3. Truth / A. Truth Problems / 2. Defining Truth

10153

In everyday language, truth seems indefinable, inconsistent, and illogical [Tarski]

3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth

19141

Tarski thought axiomatic truth was too contingent, and in danger of inconsistencies [Tarski, by Davidson]

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 / 4. Pure Logic

10048

There is no clear boundary between the logical and the non-logical [Tarski]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

10694

Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall]

10479

Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W]

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]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

10157

Tarski improved Hilbert's geometry axioms, and without set-theory [Tarski, by Feferman/Feferman]

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

21958

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