Combining Texts

All the ideas for 'Theory of Knowledge (2nd ed 1977)', 'Elements of Intuitionism (2nd ed)' and 'Remarks on the definition and nature of mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

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Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett]

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

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To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

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It is untenable that mathematics is general physical truths, because it needs infinity [Curry]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

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Saying mathematics is logic is merely replacing one undefined term by another [Curry]

11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth

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We have a basic epistemic duty to believe truth and avoid error [Chisholm, by Kvanvig]