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...

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which...

switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...

standard systems of classical logic, these connectives are interpreted as truth functions, though they receive a variety of alternative interpretations in nonclassical...

by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and 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...

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...

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...

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...

quantifiers) are truth-functional connectives that represent truth functions — functions that take truth values as arguments and return truth values as outputs...

degrees of truth. Not all logical systems are truth-valuational in the sense that logical connectives may be interpreted as truth functions. For example...

{\displaystyle \nleftrightarrow } , and ≢ {\displaystyle \not \equiv } . The truth table of A ↮ B {\displaystyle A\nleftrightarrow B} shows that it outputs...

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...

states, and practicing mindfulness and dhyana (meditation). The function of the four truths, and their importance, developed over time and the Buddhist tradition...

[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...

arguments are siblings. By convention, truth function constants start with a lower-case letter. Truth functions may be broken down into logical connectives...

operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...

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...

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...

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...

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...

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...

relations. Propositional formula Boolean-valued function Formula (logic) Sentence (logic) Truth function Open sentence Tiles, Mary (2004). The philosophy...

conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication (rule of...

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...

statement, to not only believe its truth but understand the reason for its truth. A consequence of this definition of truth was the rejection of the law of...

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...

Axiomatization Conditional proof Invalid proof Degree of truth Truth Truth condition Truth function Double negation Double negation elimination Fallacy Existential...

its fruits. By convention, function constants start with an upper-case letter and end with the string Fn. Truth functions, which can apply to one or more...

W} abbreviates "it is warm". In classical logic, disjunction is given a truth functional semantics according to which a formula ϕ ∨ ψ {\displaystyle \phi...