New answers tagged logic
It sounds like you may be asking for the reverse of this, but when denial of something specific raises suspicion, an applicable phrase is "The lady doth protest too much, methinks", which is a reference to Shakespeare's Hamlet. It implies that the denial itself is suspicious because if nothing weird was going on you wouldn't have to deny it. For example, ...
In rhetoric, this is called paralipsis or apophasis. Edit: added link.
The word you're looking for is probably misdirection: Misdirection is a form of deception in which the attention of the audience is focused on one thing in order to distract it's attention from another. More broadly, the phenomenon you refer to is a part of Ironic process theory.
Innuendo, insinuation, overtone & connotation come close. innuendo: a statement which indirectly suggests that someone has done something immoral, improper, etc insinuation : a usually bad or insulting remark that is said in an indirect way : the act of saying something bad or insulting in an indirect way overtone : an idea or ...
A logical fallacy is an error in the logic of an argument that prevents it from being logically valid but does not prevent it from swaying people's minds. http://rationalwiki.org/wiki/Logical_fallacy Your example looks like a case of media manipulation: a series of related techniques in which partisans create an image or argument that favours their ...
Duplicity? I just call it sneaky speech! http://www.thefreedictionary.com/duplicitous http://www.dictionary.com/browse/duplicity
Consider your sentence: The banana costs more than either the apple or the orange. You have noticed that there is a reading of this sentence where it means: The banana costs more than both the apple and the orange. This sentence, in turn, means: The banana both costs more than the apple and costs more than the orange. ...
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