Look up implication, implicational, implications, implies, or imply in Wiktionary, the free dictionary.

Implication may refer to:

Logic

• Logical consequence (also entailment or logical implication), the relationship between statements that holds true when one logically "follows from" one or more others
• Material conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q"
  • Material implication (rule of inference), a logical rule of replacement
  • Implicational propositional calculus, a version of classical propositional calculus that uses only the material conditional connective
• Strict conditional or strict implication, a connective of modal logic that expresses necessity
• modus ponens, or implication elimination, a simple argument form and rule of inference summarized as "p implies q; p is asserted to be true, so therefore q must be true"

Linguistics

• Implicature, what is suggested in an utterance, even though neither expressed nor strictly implied
• Implicational universal or linguistic universal, a pattern that occurs systematically across natural languages
  • Implicational hierarchy, a chain of implicational universals; if a language has one property then it also has other properties in the chain
• Entailment (pragmatics) or strict implication, the relationship between two sentences where the truth of one requires the truth of the other

Other uses

• Implication table, a tool used to facilitate the minimization of states in a state machine
• Implication graph, a skew-symmetric directed graph used for analyzing complex Boolean expressions
• Implication (information science)

See also

• Material implication (disambiguation)
• Implicit (disambiguation)

This disambiguation page lists articles associated with the title Implication.
If an internal link led you here, you may wish to change the link to point directly to the intended article.