logical entailment
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logical implication — noun a logical relation between propositions p and q of the form if p then q ; if p is true then q cannot be false • Syn: ↑implication, ↑conditional relation • Derivationally related forms: ↑implicational (for: ↑implication), ↑imply … Useful english dictionary
Logical positivism — (also known as logical empiricism, scientific philosophy, and neo positivism) is a philosophy that combines empiricism the idea that observational evidence is indispensable for knowledge with a version of rationalism incorporating mathematical… … Wikipedia
Logical truth — is one of the most fundamental concepts in logic, and there are different theories on its nature. A logical truth is a statement which is true and remains true under all reinterpretations of its components other than its logical constants. It is… … Wikipedia
Entailment — For other uses, see Entail (disambiguation). In logic, entailment is a relation between a set of sentences (e.g.,[1] meaningfully declarative sentences or truthbearers) and a sentence. Let Γ be a set of one or more sentences; let S1 be the… … Wikipedia
Logical connective — This article is about connectives in classical logic. For connectors in natural languages, see discourse connective. For connectives and operators in other logics, see logical constant. For other logical symbols, see table of logic symbols. In… … Wikipedia
Logical consequence — Therefore redirects here. For the symbol, see therefore sign. Logical consequence is a fundamental concept in logic. It is the relation that holds between a set of sentences (or propositions) and a sentence (proposition) when the former entails… … Wikipedia
logical implication — See entailment, logic, proof … Philosophy dictionary
Monotonicity of entailment — is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called weakening, or sometimes… … Wikipedia
Paradox of entailment — The paradox of entailment is an apparent paradox derived from the principle of explosion, a law of classical logic stating that inconsistent premises always make an argument valid; that is, inconsistent premises imply any conclusion at all. This… … Wikipedia
Idempotency of entailment — is a property of logical systems that states that one may derive the same consequences from many instances of a hypothesis as from just one. In sequent calculi this property can be captured by a structural rule called contraction and in such… … Wikipedia
