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'On What Grounds What', 'Structuralism and the Notion of Dependence' and 'fragments/reports'
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8 ideas
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
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14085
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'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
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14084
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Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
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14086
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'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
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14087
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'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
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14089
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Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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14083
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Structuralism is right about algebra, but wrong about sets [Linnebo]
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14090
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In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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13741
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If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
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