sweeping statement/generalization
From Longman Dictionary of Contemporary Englishsweeping statement/generalizationsweeping statement/generalizationa statement etc that is too general and that does not consider all the facts – used to show disapproval sweeping generalizations about women drivers → sweepingExamples from the Corpussweeping statement/generalization• He prefers a complicated sentence to a sweeping statement.• Of course, this is usually so, but I am having little niggling doubts about such a sweeping statement.• This is a sweeping statement which makes little obvious sense on first reading, so let us dissect it more carefully.