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First order mathematical logic

New York: Dover Publications (1967)

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  1. A Logic for Multiple-source Approximation Systems with Distributed Knowledge Base.Md Aquil Khan & Mohua Banerjee - 2011 - Journal of Philosophical Logic 40 (5):663-692.
    The theory of rough sets starts with the notion of an approximation space , which is a pair ( U , R ), U being the domain of discourse, and R an equivalence relation on U . R is taken to represent the knowledge base of an agent, and the induced partition reflects a granularity of U that is the result of a lack of complete information about the objects in U . The focus then is on approximations of concepts (...)
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  • What's So Logical about the “Logical” Axioms?J. H. Harris - 1982 - Studia Logica 41 (2-3):159 - 171.
    Intuitionists and classical logicians use in common a large number of the logical axioms, even though they supposedly mean different things by the logical connectives and quantifiers — conquans for short. But Wittgenstein says The meaning of a word is its use in the language. We prove that in a definite sense the intuitionistic axioms do indeed characterize the logical conquans, both for the intuitionist and the classical logician.
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