Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Wang's Paradox' and 'Foundations of Two-Dimensional Semantics'

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6 ideas

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

10528

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

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]

7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality

21628

To say reality itself is vague is not properly intelligible [Dummett]

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

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

19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics

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'Water' is two-dimensionally inconstant, with different intensions in different worlds [Chalmers, by Sider]