Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Alexander Baumgarten and Nicholas P. White

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
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]