What is the logical fallacy that presents only two extreme options instead of a range of possibilities?

The logical fallacy known as a false dilemma, or false dichotomy, occurs when a situation is presented as having only two extreme outcomes, omitting other viable alternatives that may exist. This fallacy simplifies complex issues into overly simplistic binary choices, leading to flawed reasoning because it unfairly restricts the options considered and can manipulate the audience into thinking they must choose one extreme option over the other.

For instance, when discussing a policy, someone might frame the choices as "You're either with us or against us," ignoring the possibility of moderate positions or alternative solutions that could exist between those extremes. This can lead to hasty conclusions and may prevent productive dialogue about more nuanced approaches.

The other options represent different logical fallacies: slippery slope involves claiming that a small step will inevitably lead to extreme consequences; weak analogy compares two dissimilar situations that may not be relevantly alike; and appeal to authority relies on the opinion of someone deemed an authority rather than presenting a logical argument. Each of these fallacies serves a different purpose but does not capture the essence of the false dilemma.