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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.
imply and infer. Something is implied if it is a suggestion intended by the person speaking, whereas a conclusion is inferred if it is reached by the person listening. Standard: When Tony told me he had no money, he was implying that I should give him some. Standard: When Tony told me he had no money, I inferred that I should give him some.
Inferences are steps in logical reasoning, moving from premises to logical consequences; etymologically, the word infer means to "carry forward". Inference is theoretically traditionally divided into deduction and induction, a distinction that in Europe dates at least to Aristotle (300s BCE).
For example, in an organic foods advertisement that says "Organic foods are safe and healthy foods grown without any pesticides, herbicides, or other unhealthy additives", the terms "safe" and "healthy" are used to fallaciously imply that non-organic foods are neither safe nor healthy.
As with any logical fallacy, identifying that the reasoning behind an argument is flawed does not necessarily imply that the resulting conclusion is false. Statistical methods have been proposed that use correlation as the basis for hypothesis tests for causality, including the Granger causality test and convergent cross mapping.
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
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Note that modern formal interpretations of English sentences interpret 'every A is B ' as 'for any x, a statement that x is A implies a statement that x is B ', which does not imply 'some x is A'. This is a matter of semantic interpretation, however, and does not mean, as is sometimes claimed, that Aristotelian logic is 'wrong'.