Combining Philosophers
Ideas for B Hale / C Wright, Matthew Cobb and Gideon Rosen
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11 ideas
18. Thought / E. Abstraction / 2. Abstracta by Selection
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The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen]
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18. Thought / E. Abstraction / 5. Abstracta by Negation
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Nowadays abstractions are defined as non-spatial, causally inert things [Rosen]
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Chess may be abstract, but it has existed in specific space and time [Rosen]
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Sets are said to be abstract and non-spatial, but a set of books can be on a shelf [Rosen]
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18. Thought / E. Abstraction / 6. Abstracta by Conflation
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Conflating abstractions with either sets or universals is a big claim, needing a big defence [Rosen]
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18. Thought / E. Abstraction / 7. Abstracta by Equivalence
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Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]
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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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Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
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Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
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8918
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Functional terms can pick out abstractions by asserting an equivalence relation [Rosen]
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Abstraction by equivalence relationships might prove that a train is an abstract entity [Rosen]
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