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Ideas for 'Frege's Concept of Numbers as Objects', 'Philosophy of Mathematics' and 'Address to the Voters of Bristol'

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5 ideas

18. Thought / E. Abstraction / 2. Abstracta by Selection

10229

Simple types can be apprehended through their tokens, via abstraction [Shapiro]

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 / 7. Abstracta by Equivalence

13898

If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]

10231

Abstract objects might come by abstraction over an equivalence class of base entities [Shapiro]