In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is...

ambiguous expressions: the law of identity (ID), the law of contradiction (or non-contradiction; NC), and the law of excluded middle (EM). Sometimes, these...

objected to the use of the law of excluded middle over infinite sets. Hilbert responded: "Taking the Principle of the Excluded Middle from the mathematician...

this in natural English. The law is not to be confused with the law of excluded middle which states that at least one of two propositions like "the house...

noncontradiction, and the law of excluded middle. However, few systems of logic are built on just these laws. The earliest recorded use of the law appears in Plato's...

principle of bivalence is related to the law of excluded middle though the latter is a syntactic expression of the language of a logic of the form "P...

to derive it from the law of the excluded middle, as follows. We assume ¬¬P and seek to prove P. By the law of excluded middle P either holds or it does...

propositional logic. It can be thought of as the law of excluded middle written in a form that involves only one sort of connective, namely implication. In...

the topic of thought. The term "law of thought" refers to three fundamental laws of logic: the law of contradiction, the law of excluded middle, and the...

the law of excluded middle is not taken as axiom), it is consistent to adopt non-classical axioms that contradict consequences of the law of excluded middle...

Improper descriptions raise some difficult questions about the law of excluded middle, denotation, modality, and mental content. As France is currently...

in terms of discrete entities. One aspect of this formulation is that the law of excluded middle does not hold. The law of excluded middle is also rejected...

Contradictories follow the law of the excluded middle but contraries do not. For example, the sentence "the exact number of marbles in the urn is either...

early formulation of the law of trichotomy Dichotomy Law of noncontradiction Law of excluded middle Three-way comparison Trichotomy Law at MathWorld Jerrold...

constructive proof. In particular, systems of intuitionistic logic do not assume the law of the excluded middle and double negation elimination, which are...

still used principium tertii exclusi (the "law of excluded middle"). The principle of the excluded middle does lead to some strange situations. For instance...

by their rules of inference. Classical set theory and logic have the law of excluded middle. When a type theory encodes the concepts of "and" and "or"...

For the sake of argument, assume that either (or both) of the following are the case: 1. Intuitionism is false. 2. The law of excluded middle is true. Presumably...

definition of dichotomy at Wiktionary Binary opposition Bipartite (disambiguation) Class (set theory) Dichotomy paradox Dilemma Law of excluded middle, which...

fact, Aristotle did not contest the universality of the law of excluded middle, but the universality of the bivalence principle: he admitted that this principle...

and not be.' The law of excluded middle: 'Everything must either be or not be.' In accordance with the law of excluded middle or excluded third, for every...

TND (TV station), in Darwin, Australia Tertium non datur, the law of excluded middle, a law in logic The National Desk, an American television news program...

existence of objects that are not explicitly built. This excludes, in particular, the use of the law of the excluded middle, the axiom of infinity, and...

formula when applied to an appropriate number of terms. In set theory with the law of excluded middle, predicates are understood to be characteristic...

Since p ⇒ q and ~q ⇒ ~p are equivalent by the principle of transposition (see law of excluded middle), p ⇒ q is indirectly proved. Proof methods that are...

non-constructive foundational material such as the axiom of infinity, the axiom of choice or the law of excluded middle. Such theorems provide no indication as to how...

intuitions shared by many, like the law of excluded middle, the double negation elimination, and the bivalence of truth. Extended logics are logical systems...

Furthermore, the law of the excluded middle requires that one of the following propositions, for example, must be true: either "the current Emperor of Kentucky...

set of basic logical intuitions accepted by most logicians. They include the law of excluded middle, the double negation elimination, the principle of explosion...

consequence of Stalnaker's acceptance of the uniqueness assumption is that, if the law of excluded middle is true, then all instances of the formula (A...