New answers tagged logic
This is diasyrmus, which, according to the Silva Rhetoricae definition is "[r]ejecting an argument through ridiculous comparison." In this case the comparison is implied: person A's statement is as false or absurd as the notion of flying pigs.
To me, the first option is definitely more common, but gives slightly more of a feeling that something was imposed than "within me". Both are fine IMO.
The phrase you're thinking of is pathological example. This is used in maths for an unnaturally contrived situation, often devised just to disprove some theory which usually does hold true. For instance, pretty much any function that's continuous everywhere is also differentiable somewhere (and indeed almost everywhere). But that's not true as a theorem, ...
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