Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Anselm and Actuality' and 'On Euclidean Geometry'

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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]

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic

16456

For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886

The truth of an axiom must be independently recognisable [Frege]

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]

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

10527

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