Combining Texts

All the ideas for 'The Varieties of Necessity', 'Syntactic Structure' and 'Mathematics and the Metaphysicians'

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9 ideas

2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
18009 Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
7557 To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
10059 In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
7556 A collection is infinite if you can remove some terms without diminishing its number [Russell]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
9216 Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
7554 Self-evidence is often a mere will-o'-the-wisp [Russell]
13. Knowledge Criteria / C. External Justification / 7. Testimony
9214 Unsupported testimony may still be believable [Fine,K]
19. Language / C. Assigning Meanings / 1. Syntax
18007 Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9215 Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]