Truth Functional Operators vs. Non-Truth Functional Operators. Klenk defines a truth functional operator as follows: An operator is truth functional if and only if the truth value of the compound that it forms is completely determined by the truth values of the compound parts. For example, a conjunction (•) will always be true if both of its conjuncts are true, no matter what those conjuncts are about.
http://karinhowe.com/home/courses/122/fall12/truth_functional_operators
Truth function. The truth value of a truth functional compound proposition is determined by the truth values of its components and the definition of the logical operator involved. any truth functional compound proposition that can be determined in this manner is said to be a truth function. statement variable.
https://quizlet.com/42110946/logical-operators-flash-cards/
Propositional logic, also known as sentential logic and statement logic, is the branch of logic that studies ways of joining and/or modifying entire propositions, statements or sentences to form more complicated propositions, statements or sentences, as well as the logical relationships and properties that are derived from these methods of combining ...
http://www.iep.utm.edu/prop-log/
Each assignment of truth values to propositions, by the principle of bivalence, constitutes in itself a function called truth function . For instance, a truth function with a domain of propositional variables { p, q, r } has as a route one of two possible truth values {T, F} in its codomain. Unlike truth functions, truth-functional operators have as domain truth functions and as codomain truth-values {T, F}. A truth-functional operator takes as argument all of the possible interpretations of a statement composed of two propositional variables, say, and assigns one of the two truth-values to it.
https://www.coursehero.com/file/p534dts/Truth-Functions-Truth-functional-Operators-and-the-Principle-of-bivalence-3-The/
Truth function. In logic, a truth function is function that accepts truth values as input and produces a truth value as output, i.e., the input and output are all truth values.
https://en.wikipedia.org/wiki/Truth_function
Definition: A well-formed formula (hereafter abbrevated as wff) of PL is defined recursively as follows: 1  Any statement letter is a well-formed formula. 2  If α is a well-formed formula, then so is ¬α. 3  If α and β are well-formed formulas, then so is (α & β). 4  If α and β are well-formed formulas, then so is (α v  β).
http://www.iep.utm.edu/prop-log/
Classical (or bivalent) truth-functional propositional logic is that branch of truth-functional propositional logic that assumes that there are are only two possible truth-values a statement (whether simple or complex) can have: (1) truth, and (2) falsity, and that every statement is either true or false but not both.
http://www.iep.utm.edu/prop-log/
For the moment, let's look at the definition of a truth-functional connective. A statement connective is truth-functional if and only if. the truth value of any compound statement obtained by. applying that connective is a function of (is completely. determined by) the individual truth values of the con-.
http://courses.umass.edu/phil110-gmh/text/c02_3-99.pdf
Classical propositional logic is a truth-functional propositional logic, in that every statement has exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every compound statement is a truth function.
https://en.wikipedia.org/wiki/Truth_function
Now, to say that the connective + is truth-. functional is to say this: if we know the truth values of S1 and S2 individually, then. we automatically know, or at least we can compute, the truth value of S1+S2. On.
http://courses.umass.edu/phil110-gmh/text/c02_3-99.pdf
truth functional operator and definition
An operator is truth functional if and only if the truth value of the compound that it forms is completely determined by the truth values of the compound parts.