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The accident of logical constants
Thought: A Journal of Philosophy, 2020Work on the nature and scope of formal logic has focused unduly on the distinction between logical and extra-logical vocabulary; which argument forms a logical theory countenances depends not only on its stock of logical terms, but also on its range of grammatical categories and modes of composition. Furthermore, there is a sense in which logical terms
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Semantic Minimalism for Logical Constants
Logique et Analyse, 2014In [31], I defended a minimalist account of meaning for logical constants as a way to ward off Quine’s meaning variance charge against deviant logics. Its key idea was that some deviant propositional logics share with classical logic the operational meanings of all their connectives, as encoded in their sequent calculus operational rules, yet validate ...
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2018
A fundamental problem in the philosophy of logic is to characterize the concepts of ‘logical consequence’ and ‘logical truth’ in such a way as to explain what is semantically, metaphysically or epistemologically distinctive about them. One traditionally says that a sentence p is a logical consequence of a set S of sentences in a language L if and only ...
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A fundamental problem in the philosophy of logic is to characterize the concepts of ‘logical consequence’ and ‘logical truth’ in such a way as to explain what is semantically, metaphysically or epistemologically distinctive about them. One traditionally says that a sentence p is a logical consequence of a set S of sentences in a language L if and only ...
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The Meanings of the Logical Constants in Deontic Logic
Ratio Juris, 1999If deontic logic is to cast light on any of the normative sciences, such as legal reasoning, then certain problems regarding its logical constants must be faced. Recent studies in the area of deontic logic have tended to assume that it is our responses to the “paradoxes” of deontic implication which are fundamental to resolving problems with the use of
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Logical Form and Logical Constants
2000Abstract A general characterization of the constants of standard logic is achieved by following the suggestion, inspired by Wittgenstein's Tractatus, that the meanings of these constants can be fully explained by reference to no more than two essential features of empirical statements; all such statements must possess excluding power and
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A New Constant in Superintuitionistic Logic L3
Algebra and Logic, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Constants in Kripke Models for Intuitionistic Logic
Mathematical Logic Quarterly, 1995AbstractWe present a technique to extend a Kripke structure (for intuitionistic logic) into an elementary extension satisfying some property (cardinality, saturation, etc.) which can be “axiomatized” by a family of sets of sentences, where, most often, many constant symbols occur. To that end, we prove extended theorems of completeness and compactness.
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Classification of Novikov Complete Logics with Extra Logical Constants
Algebra and Logic, 2003Consider the usual propositional language extended by a family of constants \(\overline{\varphi}=\{\varphi_1,\dots,\varphi_n\}\). An arbitrary set of formulas containing the logic Int is called \(\overline{\varphi}\)-logic if it is closed under modus ponens and substitution.
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The Semantics of the Logical Constants
1974When logophoric terms the/an A (for instance, Husserl’s das A uberhaupt) are taken up into someone’s use of language and are burdened with great philosophical significance, these terms must then be assumed of importance for reasoning. In that case, it must be possible to connect assertions of the form the/an M is P logically with statements of other ...
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Hyperresolution for Gödel logic with truth constants
Fuzzy Sets and Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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