Combining Texts

All the ideas for 'The Sign of Four', 'Criterion of Validity in Reasoning' and 'What is Mathematical Truth?'

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6 ideas

2. Reason / A. Nature of Reason / 4. Aims of Reason

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I reason in order to avoid disappointment and surprise [Peirce]

3. Truth / H. Deflationary Truth / 1. Redundant Truth

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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

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Only study logic if you think your own reasoning is deficient [Peirce]

7. Existence / D. Theories of Reality / 8. Facts / a. Facts

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Facts are hard unmoved things, unaffected by what people may think of them [Peirce]

10. Modality / B. Possibility / 1. Possibility

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Mathematics eliminates possibility, as being simultaneous actuality in sets [Putnam]

14. Science / C. Induction / 1. Induction

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If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]