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  1. Subformula and separation properties in natural deduction via small Kripke models: Subformula and separation properties.Peter Milne - 2010 - Review of Symbolic Logic 3 (2):175-227.
    Various natural deduction formulations of classical, minimal, intuitionist, and intermediate propositional and first-order logics are presented and investigated with respect to satisfaction of the separation and subformula properties. The technique employed is, for the most part, semantic, based on general versions of the Lindenbaum and Lindenbaum–Henkin constructions. Careful attention is paid to which properties of theories result in the presence of which rules of inference, and to restrictions on the sets of formulas to which the rules may be employed, restrictions (...)
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  • Near-equational and equational systems of logic for partial functions. I.William Craig - 1989 - Journal of Symbolic Logic 54 (3):795-827.
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  • Free Logic, Description, and Virtual Classes.W. V. Quine - 1997 - Dialogue 36 (1):101-.
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  • Ontology, quantification, and fundamentality.Jason Theodore Turner - unknown
    The structuralist conception of metaphysics holds that it aims to uncover the ultimate structure of reality and explain how the world's richness and variety are accounted for by that ultimate structure. On this conception, metaphysicians produce fundamental theories, the primitive, undefined expressions of which are supposed to 'carve reality at its joints', as it were. On this conception, ontological questions are understood as questions about what there is, where the existential quantifier 'there is' has a fundamental, joint-carving interpretation. Structuralist orthodoxy (...)
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