Combining Philosophers

Ideas for Herodotus, Chilo and Harold Hodes

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5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
     Full Idea: Brand higher-order logic as unintelligible if you will, but don't conflate it with set theory.
     From: Harold Hodes (Logicism and Ontological Commits. of Arithmetic [1984], p.131)
     A reaction: [he gives Boolos 1975 as a further reference] This is simply a corrective, because the conflation of second-order logic with set theory is an idea floating around in the literature.