Combining Philosophers

Ideas for David Fair, William W. Tait and Harold Hodes

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4 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10015

Higher-order logic may be unintelligible, but it isn't set theory [Hodes]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

10011

Identity is a level one relation with a second-order definition [Hodes]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

10016

When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

13416

Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]