Combining Philosophers
Ideas for Archimedes, Otto Neurath and David Lewis
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6 ideas
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007
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Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
10808
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Mathematics is generalisations about singleton functions [Lewis]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
15524
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Zermelo's model of arithmetic is distinctive because it rests on a primitive of set theory [Lewis]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
15517
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Giving up classes means giving up successful mathematics because of dubious philosophy [Lewis]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
15515
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To be a structuralist, you quantify over relations [Lewis]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10815
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We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
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