Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Armand Marie LeRoi and Carl Friedrich Gauss

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3 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy

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The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

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Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]

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]