Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Mathematical Truth' and 'Epistemic and Metaphysical Possibility'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition

10528

Definitions concern how we should speak, not how things are [Fine,K]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

9935	Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17927

Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan]

9936	The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf]

10. Modality / A. Necessity / 6. Logical Necessity

12185

Logical necessity is epistemic necessity, which is the old notion of a priori [Edgington, by McFetridge]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

10527

An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]