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Ideas for 'Metaphysics', 'Isolation and Non-arbitrary Division' and 'Philosophy of Mathematics'

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7 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

9792	Mathematicians study quantity and continuity, and remove the perceptible features of things [Aristotle]

9077	Mathematicians suppose inseparable aspects to be separable, and study them in isolation [Aristotle]

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

10231

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

18. Thought / E. Abstraction / 8. Abstractionism Critique

9075	If health happened to be white, the science of health would not study whiteness [Aristotle]