Name of the rhetorical device that limits consideration to only two alternatives when there are in fact more than two?

The rhetorical device that limits consideration to only two alternatives when there are in fact more than two is called a false dichotomy or false dilemma. It presents a situation where only two options are presented as possible, when in reality, there may be more. This device is often used to oversimplify complex situations or to force a choice between two undesirable options.