logically consistent
111Entailment — 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… …
112Gödel's completeness theorem — is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… …
113Kant’s moral and political philosophy — Don Becker Practical philosophy, for Kant, is concerned with how one ought to act. His first important work in practical philosophy, Foundations of the Metaphysics of Morals, provides Kant’s argument for the fundamental principle of how one ought …
114Theodicy — (IPAEng|θiːˈɒdɪsi) (adjectival form theodicean) is a specific branch of theology and philosophy that attempts to reconcile the existence of evil or suffering in the world with the belief in an omniscient, omnipotent, and omnibenevolent God, i.e …
115ethics — /eth iks/, n.pl. 1. (used with a sing. or pl. v.) a system of moral principles: the ethics of a culture. 2. the rules of conduct recognized in respect to a particular class of human actions or a particular group, culture, etc.: medical ethics;… …
116metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …
117First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …
118metaphysics — /met euh fiz iks/, n. (used with a sing. v.) 1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology. 2. philosophy, esp. in its more abstruse branches. 3. the… …
119Wikipedia:Featured article candidates — Here, we determine which articles are to be featured articles (FAs). FAs exemplify Wikipedia s very best work and satisfy the FA criteria. All editors are welcome to review nominations; please see the review FAQ. Before nominating an article,… …
120Decidability (logic) — In logic, the term decidable refers to the decision problem, the question of the existence of an effective method for determining membership in a set of formulas. Logical systems such as propositional logic are decidable if membership in their… …
