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Ideas for 'Philosophy of Mathematics', 'works' and 'Abstract Objects'

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11 ideas

18. Thought / E. Abstraction / 2. Abstracta by Selection
10229 Simple types can be apprehended through their tokens, via abstraction [Shapiro]
8917 The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
10217 We can apprehend structures by focusing on or ignoring features of patterns [Shapiro]
9554 We can focus on relations between objects (like baseballers), ignoring their other features [Shapiro]
18. Thought / E. Abstraction / 5. Abstracta by Negation
8912 Nowadays abstractions are defined as non-spatial, causally inert things [Rosen]
8913 Chess may be abstract, but it has existed in specific space and time [Rosen]
8914 Sets are said to be abstract and non-spatial, but a set of books can be on a shelf [Rosen]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
8916 Conflating abstractions with either sets or universals is a big claim, needing a big defence [Rosen]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10231 Abstract objects might come by abstraction over an equivalence class of base entities [Shapiro]
8918 Functional terms can pick out abstractions by asserting an equivalence relation [Rosen]
8919 Abstraction by equivalence relationships might prove that a train is an abstract entity [Rosen]