Generalizations of the Weak Law of the Excluded Middle

Notre Dame Journal of Formal Logic 56 (2):321-331 (2015)
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Abstract

We study a class of formulas generalizing the weak law of the excluded middle and provide a characterization of these formulas in terms of Kripke frames and Brouwer algebras. We use these formulas to separate logics corresponding to factors of the Medvedev lattice.

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References found in this work

Modal Logics Between S 4 and S 5.M. A. E. Dummett & E. J. Lemmon - 1959 - Mathematical Logic Quarterly 5 (14‐24):250-264.
Consciousness, Philosophy, and Mathematics.L. E. J. Brouwer - 1949 - Proceedings of the Tenth International Congress of Philosophy 2:1235-1249.
Modal Logics Between S 4 and S 5.M. A. E. Dummett & E. J. Lemmon - 1959 - Mathematical Logic Quarterly 5 (14-24):250-264.
Modal Logics Between S4 and S5.M. A. E. Dummett, E. J. Lemmon, Iwao Nishimura & D. C. Makinson - 1959 - Journal of Symbolic Logic 32 (3):396-397.

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