Combining Philosophers
Ideas for B Hale / C Wright, Timothy Smiley and William W. Tait
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9 ideas
18. Thought / E. Abstraction / 2. Abstracta by Selection
9981
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Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
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9982
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Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
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18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10630
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Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
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8786
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One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
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12227
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Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
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12228
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Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
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9985
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Abstraction may concern the individuation of the set itself, not its elements [Tait]
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18. Thought / E. Abstraction / 8. Abstractionism Critique
9972
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Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
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9980
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If abstraction produces power sets, their identity should imply identity of the originals [Tait]
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