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Complement-Topoi and Dual Intuitionistic Logic
Australasian Journal of Logic 9:26-44 (2010)
Abstract
Mortensen studies dual intuitionistic logic by dualizing topos internal logic, but he did not study a sequent calculus. In this paper I present a sequent calculus for complement-topos logic, which throws some light on the problem of giving a dualization for LJ.Author's Profile
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Citations of this work
Connexive Negation.Luis Estrada-González & Ricardo Arturo Nicolás-Francisco - 2023 - Studia Logica (Special Issue: Frontiers of Conn):1-29.
Hegel of the gaps? Truth, falsity and conjunction in Hegelian contradictions.Luis Estrada-González - 2024 - Asian Journal of Philosophy 3 (1):1-13.
Connexive Negation.Luis Estrada-González & Ricardo Arturo Nicolás-Francisco - 2023 - Studia Logica 112 (1):511-539.
Structuring Co-constructive Logic for Proofs and Refutations.James Trafford - 2016 - Logica Universalis 10 (1):67-97.
Beyond Transcendentalism and Naturalization: A Categorial Framework for the Semiotic Phenomenology.Martina Properzi - 2019 - International Journal of Philosophy 7 (3):122.
References found in this work
An algebraic and Kripke-style approach to a certain extension of intuitionistic logic.Cecylia Rauszer - 1980 - Warszawa: [available from Ars Polona].
A remark on Gentzen's calculus of sequents.Johannes Czermak - 1977 - Notre Dame Journal of Formal Logic 18 (3):471-474.
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