Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Paul Bernays and Alexander Baumgarten

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7 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Baumgarten founded aesthetics in 1750 [Baumgarten, by Tolstoy]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Beauty is an order between parts, and in relation to the whole [Baumgarten, by Tolstoy]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Perfection comes through the senses (Beauty), through reason (Truth), and through moral will (Good) [Baumgarten, by Tolstoy]