Combining Texts
Ideas for
'The Boundary Stones of Thought', 'Interview with Baggini and Stangroom' and 'On What There Is'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
18842
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Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18834
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Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]
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6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
18846
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Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
1613
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Logicists cheerfully accept reference to bound variables and all sorts of abstract entities [Quine]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
1616
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Formalism says maths is built of meaningless notations; these build into rules which have meaning [Quine]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
1615
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Intuitionism says classes are invented, and abstract entities are constructed from specified ingredients [Quine]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
1614
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Conceptualism holds that there are universals but they are mind-made [Quine]
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