Combining Texts

All the ideas for 'Realism in Mathematics', 'Introduction to Philosophical Papers II' and 'The Value Problem'

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9 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
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
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
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
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
Humean supervenience says the world is just a vast mosaic of qualities in space-time [Lewis]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
If value is practical, knowledge is no better than true opinion [Greco]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalist theories don't explain why knowledge has value [Greco]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The world is just a vast mosaic of little matters of local particular fact [Lewis]