No Vicious Circularity without Classical Logic

Joseph Vidal-Rosset (1)

1 LHSP - Laboratoire d'Histoire des Sciences et de Philosophie - Archives Henri Poincaré

This paper proves that the paradoxes called "vicious circles" like Russell's, require classical logic, since the double negation elimination plays a key role in their derivation.

Domaines: Philosophie; Logique [math.LO]

Joseph Vidal-Rosset. No Vicious Circularity without Classical Logic. Al-Mukhatabat. Trilingual Journal for Logic, Epistemology and Analytic Philosophy, In press. ⟨hal-02472896⟩