On the ‘classical’ operations in three-valued logics
نویسندگان
چکیده
منابع مشابه
On Ãlukasiewicz and Schmitt Three – Valued Logics
We recall the basic definitions and some results from [6]. The syntax of the system L3 is the same as for the ordinary two–valued first order predicate calculus with the only exception, that it contains two negation symbols: strong and weak, denoted by ¬ and ∼, respectvely. The weak implication P ⊃ Q is an abbreviation for ∼ P ∨Q. We adopt the standard notation M = 〈M, v〉 to denote an adequate ...
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Maximality is a desirable property of paraconsistent logics, motivated by the aspiration to tolerate inconsistencies, but at the same time retain from classical logic as much as possible. In this paper, we introduce the strongest possible notion of maximal paraconsistency, and investigate it in the context of logics that are based on deterministic or non-deterministic three-valued matrices. We ...
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We consider propositional logic. Three-valued logics are old: the first one is Lukasiewicz three valued logic from 1920 [8]. Gödel in [5] from 1932 studied a hierarchy of finite-valued logics, containing Gödel three-valued logic. Our main interest pays to Kleene three-valued logic [6]. Other threevalued logics will not be considered here. Let us agree that the three truth values are 0, 1 2 , 1 ...
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By interpreting ‘p is impossible’ by ‘p is selfcontradictory’, and ‘p is always’ by ‘not p is self-contradictory’, this paper studies which of the three-valued systems of Łucasiewicz, Gödel, Kleene, Bochvar, and Post, do verify the Aristotle’s principles of Non-Contradiction (NC), and Excluded-Middle (EM). Keywords— Systems of three-valued logic, Non-Contradiction, Excluded-Middle.
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ژورنال
عنوان ژورنال: Logical Investigations
سال: 2015
ISSN: 2413-2713,2074-1472
DOI: 10.21146/2074-1472-2015-21-2-61-69