A false dilemma, also referred to as false dichotomy, is an informal fallacy based on a premise that erroneously limits what options are available. ... For example, a false dilemma is committed when it is claimed that, "Stacey spoke out against capitalism; therefore, she must be a communist".

What is the meaning of a false dichotomy?

: a branching in which the main axis appears to divide dichotomously at the apex but is in reality suppressed, the growth being continued by lateral branches (as in the dichasium)

What is an example of a false dichotomy fallacy?

A false dichotomy is typically used in an argument to force your opponent into an extreme position -- by making the assumption that there are only two positions. Examples: "If you want better public schools, you have to raise taxes.