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...

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

of the operation for those values. A proposition's truth table is a graphical representation of its truth function. The truth function can be more useful...

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...

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

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...

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...

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

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...

elements of X. Therefore, a subobject classifier is also known as a "truth value object" and the concept is widely used in the categorical description...

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...

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...

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

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...

does not regard all perspectives and interpretations as being of equal truth or value, it holds that no one has access to an absolute view of the world cut...

logic A three-valued logic where the third truth value is the truth-value gap "neither true nor false" ("N"), and the designated values are "true" and...

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...

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...

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

Lead section, § Are Value Claims Truth Evaluable?, § Value Realism by Degrees: a Flow Chart Oddie 2013, § Are Value Claims Truth Evaluable?, § Quasi-Realism...

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...

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

assign to this statement, the strengthened liar, a classical binary truth value leads to a contradiction. Assume that "this sentence is false" is true...

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...

logical operators are truth-functional, meaning that the truth value of a compound proposition depends only on the truth values of the simple propositions...

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...

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...

terms of truth-values for the behaviour of the symbols "⊢" (assertion of truth), "~" (logical not), and "V" (logical inclusive OR). Truth-values: PM embeds...

[*This phrase is due to Frege] … the truth-value of "p ∨ q" is truth if the truth-value of either p or q is truth, and is falsehood otherwise … that of...