• logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic...
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  • operation for those values. A truth table is a structured representation that presents all possible combinations of truth values for the input variables...
    44 KB (3,532 words) - 06:50, 21 May 2024
  • of truth; identifying things as truth-bearers capable of being true or false; if truth and falsehood are bivalent, or if there are other truth values; identifying...
    105 KB (13,161 words) - 21:38, 8 July 2024
  • classical truth-functional propositional logic, in which formulas are interpreted as having precisely one of two possible truth values, the truth value of true...
    111 KB (11,036 words) - 06:53, 22 July 2024
  • Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in...
    30 KB (3,346 words) - 23:05, 6 November 2023
  • that logical truths are necessary truths. Instead he posits that the truth-value of any statement can be changed, including logical truths, given a re-evaluation...
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  • Thumbnail for Logic
    both proposed ternary logics which have a third truth value representing that a statement's truth value is indeterminate. These logics have been applied...
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  • output of a truth function are all truth values; a truth function will always output exactly one truth value, and inputting the same truth value(s) will always...
    22 KB (2,239 words) - 16:19, 1 April 2024
  • many-valued logic systems in which there are three truth values indicating true, false, and some third value. This is contrasted with the more commonly known...
    26 KB (2,419 words) - 18:20, 14 July 2024
  • truth-value links is a concept in metaphysics discussed in debates between philosophical realism and anti-realism. Philosophers who appeal to truth-value...
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  • Fuzzy logic (category CS1: long volume value)
    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 concept of partial truth, where...
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  • elements of X. Therefore, a subobject classifier is also known as a "truth value object" and the concept is widely used in the categorical description...
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  • Thumbnail for Logical connective
    truth-value of the operation or it never makes a difference. E.g., ¬, ↔, ↮ {\displaystyle \nleftrightarrow } , ⊤, ⊥. Duality To read the truth-value assignments...
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  • world to a truth value. For instance, the proposition that the sky is blue can be modeled as a function which would return the truth value T {\displaystyle...
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  • In formal semantics, truth-value semantics is an alternative to Tarskian semantics. It has been primarily championed by Ruth Barcan Marcus, H. Leblanc...
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  • considered vacuous truths because the fact that the antecedent is false prevents using the statement to infer anything about the truth value of the consequent...
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  • Thumbnail for Conditioned disjunction
    connective introduced by Church. Given operands p, q, and r, which represent truth-valued propositions, the meaning of the conditioned disjunction [p, q, r] is...
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  • inspection) has exactly one truth value, either true or false. A logic satisfying this principle is called a two-valued logic or bivalent logic. In formal...
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  • Thumbnail for Sorites paradox
    indeterminate and not-heap. The third truth-value can be understood either as a truth-value gap or as a truth-value glut. Alternatively, fuzzy logic offers...
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  • concerning truth are the value of truth, the liar paradox, and the principle of bivalence of truth. Central to logic is the notion of logical truth. Logical...
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  • assign to this statement, the strengthened liar, a classical binary truth value leads to a contradiction. If "this sentence is false" is true, then it...
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  • [*This phrase is due to Frege] … the truth-value of "p ∨ q" is truth if the truth-value of either p or q is truth, and is falsehood otherwise … that of...
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  • propositional logic, an assignment of truth values to propositional variables, with a corresponding assignment of truth values to all propositional formulas with...
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  • First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables...
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  • Then the truth value of a sentence is defined to be its truth value under any variable assignment, and it is proved that this truth value does not depend...
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  • Truth Social (stylized as TRUTH Social) is an alt-tech social media platform owned by Trump Media & Technology Group (TMTG), an American media and technology...
    156 KB (13,322 words) - 11:21, 15 July 2024
  • negative truth value and is a nullary logical connective. In a truth-functional system of propositional logic, it is one of two postulated truth values, along...
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  • does not regard all perspectives and interpretations as being of equal truth or value, it holds that no one has access to an absolute view of the world cut...
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  • Thumbnail for Semantics
    particular, at their truth value. A conclusion follows semantically from a set of premises if the truth of the premises ensures the truth of the conclusion...
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  • Thumbnail for Logical disjunction
    (b\lor c))} Truth-preserving: The interpretation under which all variables are assigned a truth value of 'true', produces a truth value of 'true' as...
    16 KB (1,870 words) - 22:50, 10 June 2024