Combining Texts

All the ideas for 'fragments/reports', 'Nihilism without Self-Contradiction' and 'Constructibility and Mathematical Existence'

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9 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
14231 We should always apply someone's theory of meaning to their own utterances [Liggins]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
8758 We could talk of open sentences, instead of sets [Chihara, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14232 We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265 Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
8759 We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
10264 Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
14233 Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]