Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Karl Weierstrass and John Greco

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6 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]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18086 Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18092 Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
20653 Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]