Combining Texts
Ideas for
'The Architecture of Mathematics', 'After Finitude' and 'On What There Is'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
19677
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What is mathematically conceivable is absolutely possible [Meillassoux]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10190
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From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
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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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