When someone asserts that we must choose between two things when there are more than two options, they are commiting an Either-Or fallacy.
But, as I said, logic isn't everything.
Patrick Henry: "Give me liberty, or give me death!"
News Reporter: "Dude, isn't that a bit extreme?"
Patrick Henry: "Extreme that I would die for my country?"
News Reporter: "No, it's just you're shouting in my ear."
Patrick Henry: "Your forefathers sacrificed their lives, wealth and honor so that they could pass their freedom down to their children. Freedoms which you now enjoy! And you ask me to lower my voice? Have you no shame?!?"
News Reporter: "Well, you might have a point there, but what about your ultimatum. . . Aren't there any more options?"
Patrick Henry: "Options! We colonists are about to be shackled hand and foot by that foul tyrant King George, and you want me to give you options! I tell you that no choice remains for us today but the choice between fighting for liberty or death as slaves!!!"
News Reporter: "Dude, chill! Like, I can think of an option. What about moving to Tahiti?"
Patrick Henry: "Hhmmmm. . . Give me liberty or give me Tahiti. . . . Somehow I don't think that's going to go over well with General Washington . . ."