Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Eduard Hanslick and Nicholas Bourbaki

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

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From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction

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Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]

21. Aesthetics / C. Artistic Issues / 4. Emotion in Art

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Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]