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) - 20:48, 12 May 2025
switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the...
23 KB (2,887 words) - 02:18, 11 June 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
Logical connective (redirect from Truth functional connective)
standard systems of classical logic, these connectives are interpreted as truth functions, though they receive a variety of alternative interpretations in nonclassical...
34 KB (3,164 words) - 19:28, 10 June 2025
Propositional calculus (redirect from Truth-functional propositional logic)
by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and negation...
118 KB (11,444 words) - 15:51, 30 May 2025
notions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity...
19 KB (2,236 words) - 02:31, 5 January 2025
Logic alphabet (section Truth functions)
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
Tractatus Logico-Philosophicus (redirect from Truth-grounds)
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...
64 KB (8,225 words) - 11:10, 7 June 2025
Interpretation (logic) (redirect from Truth assignment)
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) - 03:26, 11 May 2025
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
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
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 (19,492 words) - 10:22, 12 June 2025
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...
13 KB (1,535 words) - 19:45, 21 May 2025
[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 (9,476 words) - 00:13, 12 June 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...
78 KB (10,688 words) - 13:49, 25 May 2025
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...
31 KB (3,354 words) - 10:28, 2 June 2025
Functional completeness (redirect from Truth-functionally complete)
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
Logical conjunction (section Truth table)
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
operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...
25 KB (256 words) - 07:14, 18 May 2025
conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication (rule of...
2 KB (265 words) - 13:53, 10 January 2024
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...
10 KB (1,130 words) - 01:45, 11 June 2025
Wrong-Doing, Truth-Telling: The Function of Avowal in Justice is a printed text version of the series of lectures delivered at the Catholic University...
8 KB (700 words) - 01:13, 11 April 2025
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
Material conditional (redirect from Truth-functional 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...
27 KB (2,229 words) - 15:03, 10 June 2025
membership function of a fuzzy set is a generalization of the indicator function for classical sets. In fuzzy logic, it represents the degree of truth as an...
4 KB (523 words) - 23:18, 16 December 2024
arguments are siblings. By convention, truth function constants start with a lower-case letter. Truth functions may be broken down into logical connectives...
6 KB (713 words) - 05:24, 17 March 2025
W} abbreviates "it is warm". In classical logic, disjunction is given a truth functional semantics according to which a formula ϕ ∨ ψ {\displaystyle \phi...
16 KB (1,937 words) - 20:20, 25 April 2025
First-order logic (section Evaluation of truth values)
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 (12,955 words) - 19:02, 17 June 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...
22 KB (3,222 words) - 21:08, 3 April 2023
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...
69 KB (8,370 words) - 19:12, 10 June 2025