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  1. Ruth Barcan Marcus on the Deduction Theorem in Modal Logic.Roberta Ballarin - forthcoming - History and Philosophy of Logic:1-21.
    In this paper, I examine Ruth Barcan Marcus's early formal work on modal systems and the deduction theorem, both for the material and the strict conditional. Marcus proved that the deduction theorem for the material conditional does not hold for system S2 but holds for S4. This last result is at odds with the recent claim that without proper restrictions the deduction theorem fails also for S4. I explain where the contrast stems from. For the strict conditional, Marcus proved the (...)
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  • Ruth Barcan Marcus.Roberta Ballarin - 2024 - Stanford Encyclopedia of Philosophy.
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  • The Early Formation of Modal Logic and its Significance: A Historical Note on Quine, Carnap, and a Bit of Church.Adam Tamas Tuboly - 2018 - History and Philosophy of Logic 39 (3):289-304.
    The aim of the paper is to show that W. V. O. Quine's animadversions against modal logic did not get the same attention that is considered to be the case nowadays. The community of logicians focused solely on the technical aspects of C. I. Lewis’ systems and did not take Quine's arguments and remarks seriously—or at least seriously enough to respond. In order to assess Quine's place in the history, however, his relation to Carnap is considered since their notorious break (...)
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  • New axiomatizations of s3 and S.Leo Simons - 1953 - Journal of Symbolic Logic 18 (4):309-316.
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  • Results concerning some modal systems that contain S.Lennart Åqvist - 1964 - Journal of Symbolic Logic 29 (2):79-87.
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  • Przegląd twierdzeń o dedukcji dla rachunków zdań.Witold A. Pogorzelski - 1964 - Studia Logica 15 (1):163-178.
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  • (1 other version)New foundations for Lewis modal systems.E. J. Lemmon - 1957 - Journal of Symbolic Logic 22 (2):176-186.
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  • The deduction theorem in a functional calculus of first order based on strict implication.Ruth C. Barcan - 1946 - Journal of Symbolic Logic 11 (4):115-118.
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  • Modern Origins of Modal Logic.Roberta Ballarin - 2010 - Stanford Encyclopedia of Philosophy.
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