Combining Texts
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'works', 'Ontology and Mathematical Truth' and 'Fact, Fiction and Forecast (4th ed)'
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5 ideas
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
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If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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A model is 'fundamental' if it contains only concrete entities [Jubien]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
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There are infinite sets that are not enumerable [Cantor, by Smith,P]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
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Cantor's Paradox: the power set of the universe must be bigger than the universe, yet a subset of it [Cantor, by Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
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The powerset of all the cardinal numbers is required to be greater than itself [Cantor, by Friend]
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