Combining Texts

All the ideas for 'fragments/reports', 'talk' and 'Precis of 'Limits of Abstraction''

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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]

14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox

7006	Observing irrelevant items supports both 'all x are y' and 'all x are non-y', revealing its absurdity [Schofield,J]

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

10527

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

20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will

22511

Some reasonings are stronger than we are [Philolaus]