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Logical consequence (also entailment or implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
The hearer can now draw the contextual implications that +> Susan needs to be cheered up. +> Peter wants me to ring Susan and cheer her up. If Peter intended the hearer to come to these implications, they are implicated conclusions. Implicated premises and conclusions are the two types of implicatures in the relevance theoretical sense. [51]
A male cat paying a "call" on a female cat, who then serves up kittens, insinuating that the "results" of children is predicated on a male "catcall". An innuendo is a hint, insinuation or intimation about a person or thing, especially of a denigrating or derogatory nature.
An innuendo is a figure of speech which indicates an indirect or subtle, usually derogatory or sexually suggestive implication in expression; an insinuation; sometimes originating from multiple meanings of words or similarly spelled and/or pronounced wording.
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
In propositional logic, modus ponens (/ ˈ m oʊ d ə s ˈ p oʊ n ɛ n z /; MP), also known as modus ponendo ponens (from Latin 'mode that by affirming affirms'), [1] implication elimination, or affirming the antecedent, [2] is a deductive argument form and rule of inference. [3] It can be summarized as "P implies Q. P is true. Therefore, Q ...
In propositional logic, hypothetical syllogism is the name of a valid rule of inference (often abbreviated HS and sometimes also called the chain argument, chain rule, or the principle of transitivity of implication). The rule may be stated:
The first implication suggests that S is a sufficient condition for N, while the second implication suggests that S is a necessary condition for N. This is expressed as " S is necessary and sufficient for N ", " S if and only if N ", or S ⇔ N {\displaystyle S\Leftrightarrow N} .