Results 11 to 20 of about 2,869,949 (320)
New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic [PDF]
Intuitionistic logic, in which the double negation law not-not-P = P fails, is dominant in categorical logic, notably in topos theory. This paper follows a different direction in which double negation does hold.
Bart Jacobs
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Game semantics for first-order logic [PDF]
We refine HO/N game semantics with an additional notion of pointer (mu-pointers) and extend it to first-order classical logic with completeness results.
Olivier Laurent
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Structural Rules in Natural Deduction with Alternatives
Natural deduction with alternatives extends Gentzen–Prawitz-style natural deduction with a single structural addition: negatively signed assumptions, called alternatives.
Greg Restall
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Traditional Logic and Computational Thinking
In this contribution, we try to show that traditional Aristotelian logic can be useful (in a non-trivial way) for computational thinking. To achieve this objective, we argue in favor of two statements: (i) that traditional logic is not classical and (ii)
J.-Martín Castro-Manzano
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Humberstone on Ayer’s Emotivism [PDF]
In The Connectives, Lloyd Humberstone offers an interpretation of A. J. Ayer’s emotivism using W. S. Cooper’s semantics for ordinary logic. In this discussion note, I argue that this proposed interpretation fails to stay true to Ayer’s view.
Jeremiah Joven Joaquin
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The creation of three logical connectors to reapprove how comprehensive and effective the Neutrosophic logic is compared to the fuzzy logic and the classical logic [PDF]
The main objective of this research is a simple attempt to suggest three new logical connectors and establish an equation a chart of truth for each of them.
Salah Bouzina, Djamel Hamoud
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Philosophical Foundations of Hajhosseini's Logics [PDF]
Recently, Morteza Hajhosseini (2023) published his second edition of the book (2017) Two Non-Classical Logic Systems, A new Outlook on Elements of Logic, where he developed various non-standard logical systems based on specific philosophical foundations.
Asadollah Fallahi
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Logic as a Puzzle-Solving Activity
Some authors have recently argued in favor of anti-exceptionalism about logic. The general idea is that logic is not different from the other sciences, and its principles are as revisable as scientific principles. This paper has three sections.
Diego Tajer
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Nicolai Vasiliev’s Imaginary Logic and Semantic Foundations for the Logic of Assent
The Russian philosopher Nicolai Vasiliev is known as a forerunner of substantially non-classical logics, i.e., logics that differ from classical logic by dropping principles that are sound in classical logic.
Werner Stelzner
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Fuzzy Logic and Practical Mentally_ posited (i’tibari) Sciences in Moral Propositions [PDF]
The nature of moral propositions from the point of view of Allameh Tabatabai and the validity of the "goodness and badness" that underlie them suggest that one cannot evaluate and deduce moral propositions by using either classical logic or even ...
Sima Torabi Dashtbayaz +2 more
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