• In logic, a truth function is a function that accepts truth values as input and produces a unique truth value as output. In other words: the input and...
    24 KB (2,647 words) - 01:09, 20 February 2025
  • A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which...
    43 KB (3,307 words) - 00:46, 15 April 2025
  • Thumbnail for Boolean function
    switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...
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  • Thumbnail for Logical connective
    standard systems of classical logic, these connectives are interpreted as truth functions, though they receive a variety of alternative interpretations in nonclassical...
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  • algebra. Truth functions are functions from sequences of truth values to truth values. A unary truth function, for example, takes a single truth value and...
    10 KB (954 words) - 05:13, 14 January 2025
  • by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and negation...
    117 KB (11,421 words) - 00:12, 1 May 2025
  • Thumbnail for Negation
    notions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity...
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  • letter) is an input variable (that can either be true or false) of a truth function. Propositional variables are the basic building-blocks of propositional...
    4 KB (445 words) - 04:10, 4 October 2024
  • quantifiers) are truth-functional connectives that represent truth functions — functions that take truth values as arguments and return truth values as outputs...
    32 KB (4,478 words) - 02:08, 3 May 2025
  • Thumbnail for Four Noble Truths
    states, and practicing mindfulness and dhyana (meditation). The function of the four truths, and their importance, developed over time and the Buddhist tradition...
    159 KB (19,491 words) - 00:30, 2 May 2025
  • degrees of truth. Not all logical systems are truth-valuational in the sense that logical connectives may be interpreted as truth functions. For example...
    9 KB (863 words) - 22:44, 31 January 2025
  • submit it to a "truth function", e.g., f(p1): f( NOT("Bob is hurt") AND "This bird is hurt" ), which yields a truth value of "truth". The notion of a...
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  • Thumbnail for Principia Mathematica
    [logical-] function, and, if φx ≡ ψx, the substitution of φx for p in a [logical-] function gives the same truth-value to the truth-function as the substitution...
    70 KB (9,477 words) - 14:31, 24 April 2025
  • Thumbnail for Exclusive or
    Exclusive or (redirect from XOR function)
    {\displaystyle \nleftrightarrow } , and ≢ {\displaystyle \not \equiv } . The truth table of A ↮ B {\displaystyle A\nleftrightarrow B} shows that it outputs...
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  • items. In SQL, the function, the function ANY_VALUE can differ depending on the RDBMS's behaviour relating NULLs to vacuous truth. Some RDBMS might return...
    12 KB (1,521 words) - 09:12, 18 April 2025
  • operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...
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  • Thumbnail for Tractatus Logico-Philosophicus
    with a sense. A proposition is a truth-function of elementary propositions. (An elementary proposition is a truth-function of itself.) The general form of...
    63 KB (8,192 words) - 23:46, 24 April 2025
  • connectives or Boolean operators is one that can be used to express all possible truth tables by combining members of the set into a Boolean expression. A well-known...
    16 KB (1,957 words) - 15:12, 13 January 2025
  • Thumbnail for Logical conjunction
    expression. In keeping with the concept of vacuous truth, when conjunction is defined as an operator or function of arbitrary arity, the empty conjunction (AND-ing...
    18 KB (1,465 words) - 05:16, 22 February 2025
  • The extension of a predicate – a truth-valued function – is the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of...
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  • Thumbnail for Material conditional
    natural-language conditionals are truth functional in the sense that the truth value of "If P, then Q" is determined solely by the truth values of P and Q. Thus...
    23 KB (2,109 words) - 16:56, 30 April 2025
  • arguments are siblings. By convention, truth function constants start with a lower-case letter. Truth functions may be broken down into logical connectives...
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  • assignment function (μ above) before truth values for even atomic formulas can be defined. Then the truth value of a sentence is defined to be its truth value...
    93 KB (13,068 words) - 10:43, 4 May 2025
  • semantics that takes the real unit interval [0, 1] for the system of truth values and functions called t-norms for permissible interpretations of conjunction...
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  • relations. Propositional formula Boolean-valued function Formula (logic) Sentence (logic) Truth function Open sentence Tiles, Mary (2004). The philosophy...
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  • to be a function, with objects in it considered as variables, and the value of the function being either truth or falsity, a truth function. For example...
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  • Thumbnail for Logical NOR
    Logical NOR (redirect from Webb function)
    In Boolean logic, logical NOR, non-disjunction, or joint denial is a truth-functional operator which produces a result that is the negation of logical...
    16 KB (1,235 words) - 09:41, 23 April 2025
  • NXOR, XAND and pronounced as Exclusive NOR) is a digital logic gate whose function is the logical complement of the Exclusive OR (XOR) gate. It is equivalent...
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  • conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication (rule of...
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  • Axiomatization Conditional proof Invalid proof Degree of truth Truth Truth condition Truth function Double negation Double negation elimination Fallacy Existential...
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