一、多值邏輯概述
西方邏輯的發(fā)展從一開始其主流觀點一直是:任何命題都有而且只有真假二值,即所謂“二值律”。但是“二值律”與“排中律”歷史上很早就受到質(zhì)疑。
參考文獻
[1]A. AVRON. Classical Gentzen-type Methods in Propositional Many-valued Logics[A]. Beyong Two: Theory and Applications of Multi-Valued Logic[C].Physica-Verlag, 2003.
[2]A. AVRON. The Method of Hypersequents in the Proof Theory of Propositional Non-Classical Logics[J]. Logic: From Foundations to Applications, European Logic Colloquium, 1996.
[3]A.AVRON. Natural 3-Valued Logics Characterization and Proof Theory[J]. Symbolic Logic, 1991.
[4]M. BAAZ, A. CIABATTONI, C.G. FERMULLER. Hypersequent Calculi for G?觟del Logics——a Survay[J]. Logic and Computation, 2003,(6).
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