Combining Texts

All the ideas for 'General Facts,Phys Necessity, and Metaph of Time', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Truth'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis

10838

To explain a concept, we need its purpose, not just its rules of usage [Dummett]

3. Truth / A. Truth Problems / 1. Truth

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It is part of the concept of truth that we aim at making true statements [Dummett]

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

10840

We must be able to specify truths in a precise language, like winning moves in a game [Dummett]

3. Truth / B. Truthmakers / 3. Truthmaker Maximalism

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The truth-maker principle is that every truth has a sufficient truth-maker [Forrest]

3. Truth / F. Semantic Truth / 2. Semantic Truth

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Tarski's truth is like rules for winning games, without saying what 'winning' means [Dummett, by Davidson]

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

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Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

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Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

18. Thought / E. Abstraction / 1. Abstract Thought

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You can't infer a dog's abstract concepts from its behaviour [Dummett]