Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Set Theory and the Continuum Hypothesis' and 'Why Propositions Aren't Truth-Supporting Circumstance'

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7 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
19. Language / C. Assigning Meanings / 2. Semantics
Semantics as theory of meaning and semantics as truth-based logical consequence are very different [Soames]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Semantic content is a proposition made of sentence constituents (not some set of circumstances) [Soames]