False Dilemma or Dichotomy
A false dichotomy or false dilemma occurs when an argument presents two options and ignores, either purposefully or out of ignorance, other alternatives.
In general, a false dichotomy gives the impression that the two oppositie options are mutually exclusive (that is, only one of them may be the case, never both) and that at least one of them is true, that is, they represent all of the possible options.
False dichotomy examples
For example, the claim that “you’re either with me, or you’re against me” is an example of a false dichotomy. This form of rhetoric is used to persuade or even threaten, but it ignores the fact that the individual or group addressed may have a neutral opinion towards the speaker. It is logically possible for someone to be neither with nor against an individual.
A more obvious example would be the…
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