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...

operation for those values. A truth table is a structured representation that presents all possible combinations of truth values for the input variables...

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...

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...

classical truth-functional propositional logic, in which formulas are interpreted as having precisely one of two possible truth values, the truth value of true...

both proposed ternary logics which have a third truth value representing that a statement's truth value is indeterminate. These logics have been applied...

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...

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...

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...

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...

truth-value of the operation or it never makes a difference. E.g., ¬, ↔, ↮ {\displaystyle \nleftrightarrow } , ⊤, ⊥. Duality To read the truth-value assignments...

truth-value links is a concept in metaphysics discussed in debates between philosophical realism and anti-realism. Philosophers who appeal to truth-value...

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...

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...

contradiction; in any symbolism, a tautology may be substituted for the truth value "true", as symbolized, for instance, by "1". Tautologies are a key concept...

Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in...

then I don't wear my coat." Unlike the contrapositive, the inverse's truth value is not at all dependent on whether or not the original proposition was...

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...

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...

formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional...

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...

In logic, a four-valued logic is any logic with four truth values. Several types of four-valued logic have been advanced. Nuel Belnap considered the challenge...

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...

In formal semantics, truth-value semantics is an alternative to Tarskian semantics. It has been primarily championed by Ruth Barcan Marcus, H. Leblanc...

(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...

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...

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...

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...

propositional logic, an assignment of truth values to propositional variables, with a corresponding assignment of truth values to all propositional formulas with...

propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity...