Combining Texts

All the ideas for 'Physiologia', 'Introduction to 'Modality'' and 'works'

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8 ideas

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]

9. Objects / C. Structure of Objects / 4. Quantity of an Object

16674

The quantity is just the matter, in that it has extended parts and is diffuse [Charleton]

10. Modality / A. Necessity / 1. Types of Modality

14528

Maybe modal thought is unavoidable, as a priori recognition of necessary truth-preservation in reasoning [Hale/Hoffmann,A]