"false dilemma" is correct and usable in written English.
It is a logical fallacy in which a limited number of options are presented, when in fact there are more options available. For example, "You can either accept this role on the team, or not get involved at all, it's a false dilemma".
"That's a false dilemma," he says.
However, this is a false dilemma.
"It is a false dilemma," the report says.
"It's a false dilemma," Felipe Calderón, the former president of Mexico, told the gathering.
Ms. Greenberg's response to Frank Bruni's column points up a false dilemma.
As an internist with chronic lymphoma, I believe this is a false dilemma.
China could do its part, too, by extending respect to neighbors: no longer supporting insurgencies that weaken neighbors; de-escalating conflicts in the South and East China seas; and discarding false dilemmas such as security demands social controls, escape from a humiliating past requires humiliation of others, or China's rise means the West's descent.
It also lends itself to further false dilemmas, as Andrew Mitchell – defending continuing aid to India as its economy booms – notes, "In India there are more poor people in three states than there are in the whole of sub-Saharan Africa," as if development spending were an ugly kind of Miss World competition.
He is also right that Europeans are free to choose: for instance, to tolerate more unemployment if that is the price of greater wage equality, or to maintain tougher planning controls even if they slow economic growth.But sometimes he presents the reader with false dilemmas.
False dilemmas, hasty generalizations and straw man fallacies were also common.
According to Nelson, it is in the shape of false dilemmas that errors in reasoning always emerge, and false dilemmas are always the result of the same mechanism--the unwitting replacement of one concept for another.
