The Overwhelming exception reference article from the English Wikipedia on 24-Jul-2004
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Overwhelming exception

Helping orphans the way you would do it
An overwhelming exception is a logical fallacy similar to a hasty generalization. It is a generalization which is accurate, but comes with one or more qualifications which eliminate so many cases that what remains is much less impressive than what the initial statement might have led one to assume.

Examples:

See also faulty generalization for other fallacies involving generalization.