Combining Texts

All the ideas for 'talk', 'Criterion of Validity in Reasoning' and 'Our Knowledge of Mathematical Objects'

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8 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason
14779 I reason in order to avoid disappointment and surprise [Peirce]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
14777 That a judgement is true and that we judge it true are quite different things [Peirce]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
14780 Only study logic if you think your own reasoning is deficient [Peirce]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
9224 Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
9222 The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
9223 My Proceduralism has one simple rule, and four complex rules [Fine,K]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
14778 Facts are hard unmoved things, unaffected by what people may think of them [Peirce]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]