Combining Philosophers

Ideas for E.M. Cioran, Shaughan Lavine and Robert Fogelin

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4 ideas

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

15926

Second-order logic presupposes a set of relations already fixed by the first-order domain [Lavine]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15934

Mathematical proof by contradiction needs the law of excluded middle [Lavine]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not

23066

Negation doesn't arise from reasoning, but from deep instincts [Cioran]

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

19632

An axiom has no more authority than a frenzy [Cioran]