Results 231 to 240 of about 574,752 (282)
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META-CLASSICAL NON-CLASSICAL LOGICS
The Review of Symbolic LogicAbstractRecently, it has been proposed to understand a logic as containing not only a validity canon for inferences but also a validity canon for metainferences of any finite level. Then, it has been shown that it is possible to construct infinite hierarchies of ‘increasingly classical’ logics—that is, logics that are classical at the level of ...
BARRIO, EDUARDO +2 more
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Modal Extensions of Sub-classical Logics for Recovering Classical Logic
Logica Universalis, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Coniglio, Marcelo E., Peron, Newton M.
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1997
Abstract Classical propositional logic was created by Boole about 150 years ago (see Boole, 1947). It holds the central position among propositional logics not only due to its venerable age. In fact, it represents the simplest model of reasoning based upon the assumption that every proposition is either true or false.
Alexander Chagrov, Michael Zakharyaschev
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Abstract Classical propositional logic was created by Boole about 150 years ago (see Boole, 1947). It holds the central position among propositional logics not only due to its venerable age. In fact, it represents the simplest model of reasoning based upon the assumption that every proposition is either true or false.
Alexander Chagrov, Michael Zakharyaschev
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A new constructive logic: classic logic
Mathematical Structures in Computer Science, 1991There are two ways to present this work; the most efficient is of course to start with the main syntactical definitions, and to end with semantics: this is the presentation that we follow in the body of the text: section 1, syntex; section 2, semantics.
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1991
Abstract For the established naive realist view permeating mathematics and science the classical two-valued logic is the logic, which is naturally and unquestionably supreme. Other conceptions of logic or mathematics are quaintly ideological; other people’s ideas are distinctly metaphysical.
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Abstract For the established naive realist view permeating mathematics and science the classical two-valued logic is the logic, which is naturally and unquestionably supreme. Other conceptions of logic or mathematics are quaintly ideological; other people’s ideas are distinctly metaphysical.
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Classical vs Non-classical Logics (The Universality of Classical Logic)
1994Abstract This chapter addresses the problem of whether classical logic can be used as a universal system of logic and whether it can be applied, profitably and sensibly, in all areas where logic needs to be applied. More specifically, we focus on modal and temporal logics and ask whether the use of such special logics, as compared with ...
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2005
AbstractLogical pluralism addresses the following conditions. First, the settled core of consequence is given in the Generalised Tarski Thesis (GTT). Second, an instance of GTT is obtained by a specification of the cases in GTT, and a specification of the relation is true in a case.
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AbstractLogical pluralism addresses the following conditions. First, the settled core of consequence is given in the Generalised Tarski Thesis (GTT). Second, an instance of GTT is obtained by a specification of the cases in GTT, and a specification of the relation is true in a case.
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Translating Non-classical Logics into Classical Logic by Using Hidden Variables
Logica Universalis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2017
This chapter surveys some non-classical logics. They are closely related to the foundations of rough set theory. We provide the basics of modal, many-valued, intuitionistic and paraconsistent logic.
Seiki Akama, Tetsuya Murai, Yasuo Kudo
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This chapter surveys some non-classical logics. They are closely related to the foundations of rough set theory. We provide the basics of modal, many-valued, intuitionistic and paraconsistent logic.
Seiki Akama, Tetsuya Murai, Yasuo Kudo
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Classical vs Non-Classical Logics
1980Most philosophers writing recently on the logic of conditionals have accepted all the theses of our weak conditional logic W. No one, though, has seriously suggested that W exhausts the logic of conditionals. Indeed, almost everyone writing in the area has suggested some proper extension of W as the correct logic for conditions.
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