Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'From Stimulus to Science' and 'Elements of Intuitionism (2nd ed)'

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6 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

6564	To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]

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

10528

Definitions concern how we should speak, not how things are [Fine,K]

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

18832

Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett]

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]