Combining Texts

All the ideas for 'works', 'Reply to Hellman' and 'Letters to Russell'

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10 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

7085	The main problem of philosophy is what can and cannot be thought and expressed [Wittgenstein, by Grayling]

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]

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

10157

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

7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms

23463

Atomic facts correspond to true elementary propositions [Wittgenstein]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

9379	A sentence is obvious if it is true, and any speaker of the language will instantly agree to it [Quine]

19. Language / D. Propositions / 4. Mental Propositions

23490

A thought is mental constituents that relate to reality as words do [Wittgenstein]