Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Many, but almost one' and 'Introduction to Russell's Theory of Types'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
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
We have one cloud, but many possible boundaries and aggregates for it [Lewis]
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]