Combining Texts

All the ideas for 'Critical Common-Sensism', 'On Platonism in Mathematics' and 'Theories of Truth: a Critical Introduction'

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12 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
18369 There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
19318 A 'sequence' of objects is an order set of them [Kirkham]
19319 If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
19320 If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304 Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
19315 In quantified language the components of complex sentences may not be sentences [Kirkham]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
19317 An open sentence is satisfied if the object possess that property [Kirkham]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303 Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306 Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
19322 Why can there not be disjunctive, conditional and negative facts? [Kirkham]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
14797 Vagueness is a neglected but important part of mathematical thought [Peirce]
14798 All communication is vague, and is outside the principle of non-contradiction [Peirce]