If I were construct an argument containing the postulation
Men commit more crimes than women.
I would be guilty of a logical fallacy because this statement implies
- All men commit crimes.
- The man who commits the fewest crimes still commits more than the woman who commits the most crimes.
There is a name of this type of logical fallacy. I think it is a kind of hasty generalization, but I'm not sure which. Can someone please help me find the right term?
So to try to clarify what I'm asking (since I don't have the right lingo apparently), I think I have worked out that there are really two parts to this question.
We can agree that the predicate "Men commit more crimes than women" is ambiguous.
Ambiguity is not a friend of logic; so firstly what might you call a statement that requires disambiguation before it can be considered acceptable in an argument?
Secondly, is there a term that describes the exploitation of ambiguous statements to further an argument? (Is this a logical fallacy? If so, what kind? If not, what else might we call it?)