Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in Aristotle's...
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In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems...
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In logic, a four-valued logic is any logic with four truth values. Several types of four-valued logic have been advanced. Nuel Belnap considered the challenge...
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In logic, an infinite-valued logic (or real-valued logic or infinitely-many-valued logic) is a many-valued logic in which truth values comprise a continuous...
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Principle of bivalence (redirect from Two-valued logic)
exactly one truth value, either true or false. A logic satisfying this principle is called a two-valued logic or bivalent logic. In formal logic, the principle...
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In logic, a finite-valued logic (also finitely many-valued logic) is a propositional calculus in which truth values are discrete. Traditionally, in Aristotle's...
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Rule of inference (redirect from Laws of Logic)
nothing in between. In many-valued logics, some propositions are neither true nor false. Kleene logic, for example, is a three-valued logic that introduces the...
66 KB (7,327 words) - 08:42, 9 June 2025
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the...
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Łukasiewicz as a three-valued modal logic; it was later generalized to n-valued (for all finite n) as well as infinitely-many-valued (ℵ0-valued) variants, both...
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truth values, see the Brouwer–Heyting–Kolmogorov interpretation and Intuitionistic logic § Semantics. Multi-valued logics (such as fuzzy logic and relevance...
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Jaina seven-valued logic is a system of argumentation developed by Jaina philosophers and thinkers in ancient India to support and substantiate their theory...
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assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely...
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topics including modal logic, intuitionistic logic, many-valued logic, relevant logic, and fuzzy logic. The book has been published in two editions by...
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proof theory and semantics of many-valued logics and paraconsistent logics. His tableau method for many-valued logics generalized all previous treatments...
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many-valued logics are three-valued logics: they contain a third truth value. In Stephen Cole Kleene's three-valued logic, for example, this third truth value is...
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In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms...
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First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a collection of formal systems used in mathematics,...
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many-valued logics are paraconsistent). Dialetheic logics, which are also many-valued, are paraconsistent, but the converse does not hold. The ideal 3-valued paraconsistent...
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Classical logic (or standard logic) or Frege–Russell logic is the intensively studied and most widely used class of deductive logic. Classical logic has had...
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Axiomatic system (redirect from Axiomatic logic)
In mathematics and logic, an axiomatic system is a set of formal statements (i.e. axioms) used to logically derive other statements such as lemmas or...
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Lemma (mathematics) (redirect from Lemma (logic))
of lemmas Objection Porism Theorem Theorem terminology Such as informal logic, argument mapping, and philosophy. [1] "Lemma." Merriam-Webster.com Dictionary...
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Smetanich's logic). Kurt Gödel's work involving many-valued logic showed in 1932 that intuitionistic logic is not a finite-valued logic. (See the section...
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behaviours Many-valued logic rejects bivalence, allowing for truth values other than true and false. The most popular forms are three-valued logic, as initially...
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MV-algebra (category Many-valued logic)
MV-algebras are the algebraic semantics of Łukasiewicz logic; the letters MV refer to the many-valued logic of Łukasiewicz. MV-algebras coincide with the class...
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In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers...
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Logical conjunction (redirect from And (logic))
In logic, mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical...
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In logic, especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language. In universal algebra, a signature...
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using many-valued logic implies that a measured value is a mixture of two extreme possibilities. Using the subset of many-valued logic, fuzzy logic, it...
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Intuitionistic logic Linear logic Many-valued logic Mathematical logic Metalogic Minimal logic Modal logic Non-Aristotelian logic Non-classical logic Noncommutative...
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IEEE 1164 (redirect from 9-valued logic)
completely destroy itself. Four-valued logic IEEE 1364 defines a four-valued logic (among other things) "VHDL and Logic Synthesis". Retrieved 22 January...
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