Combining Texts

All the ideas for 'Whitehead and the Rise of Modern Logic', 'Substitutional Classes and Relations' and 'Many, but almost one'

expand these ideas     |    start again     |     specify just one area for these texts

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10 ideas

2. Reason / D. Definition / 7. Contextual Definition

21560

Any linguistic expression may lack meaning when taken out of context [Russell]

2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes

21561

'The number one is bald' or 'the number one is fond of cream cheese' are meaningless [Russell]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18130

Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

13639

Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

21557

Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]

7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic

15538

Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]

8. Modes of Existence / A. Relations / 1. Nature of Relations

21562

There is no complexity without relations, so no propositions, and no truth [Russell]

9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail

15537

If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

15536

We have one cloud, but many possible boundaries and aggregates for it [Lewis]

19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity

15539

Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]