The way a thesis is worded is as important as its arguability. The wording of a thesis, especially its key terms, must be clear and precise.
Consider the following assertion: “Democracy is a way of life.” The meaning of this claim is uncertain, partly because the word democracy is abstract and partly because the phrase way of life is inexact. Abstract ideas like democracy, freedom, and patriotism are by their very nature hard to grasp, and they become even less clear with overuse. Too often, such words take on connotations that may obscure the meaning you want to emphasize. Way of life is fuzzy: What does it mean? Does it refer to daily life, to a general philosophy or attitude toward life, or to something else?
Thus, a thesis is vague if its meaning is unclear; it is ambiguous if it has more than one possible meaning. For example, the statement “My English instructor is mad” can be understood in two ways: The teacher is either angry or insane. Obviously, these are two very different assertions. You would not want readers to think you mean one when you actually mean the other.
Whenever you write argument, you should pay special attention to the way you phrase your thesis and take care to avoid vague and ambiguous language.