Combining Texts
Ideas for
'Thinking About Mathematics', 'Philosophy of Mathematics' and 'Modes of Extension: comment on Fine'
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6 ideas
18. Thought / E. Abstraction / 2. Abstracta by Selection
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Simple types can be apprehended through their tokens, via abstraction [Shapiro]
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18. Thought / E. Abstraction / 3. Abstracta by Ignoring
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We can apprehend structures by focusing on or ignoring features of patterns [Shapiro]
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We can focus on relations between objects (like baseballers), ignoring their other features [Shapiro]
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18. Thought / E. Abstraction / 7. Abstracta by Equivalence
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Abstract objects might come by abstraction over an equivalence class of base entities [Shapiro]
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Any equivalence relation among similar things allows the creation of an abstractum [Simons]
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Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]
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