Combining Texts

All the ideas for 'Frege on Apriority (with ps)', 'Precis of 'Limits of Abstraction'' and 'Reply to Richards'

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems

22140

The greatest philosophers are methodical; it is what makes them great [Grice]

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 / 2. Geometry

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

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]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892

Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]

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

10527

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