Combining Texts

All the ideas for 'Realism in Mathematics', 'The Value Problem' and 'Elimination of Metaphysics by Analysis of Language'

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8 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
19735 Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
16252 Metaphysics uses empty words, or just produces pseudo-statements [Carnap]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755 Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718 A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756 Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733 We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19734 If value is practical, knowledge is no better than true opinion [Greco]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
19733 Externalist theories don't explain why knowledge has value [Greco]