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'Axiomatic Theories of Truth (2005 ver)', 'Mechanisms' and 'works'
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5 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
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5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
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We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
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Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
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5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
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Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
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5. Theory of Logic / K. Features of Logics / 5. Incompleteness
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Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
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