Learner's definition of EXCEPTION
1 : someone or something that is different from others : someone or something that is not included
I like all his books, with one exception. [=I like all but one of his books]
The decision was supported by almost everyone, the single/sole exception being me. [=everyone supported the decision but me]
Her parties are always elegant, and last night's party was no exception. [=last night's party was also elegant]
2 : a case where a rule does not apply
: to object to something : to feel or express disagreement with or opposition to something — usually + to
— used to say that a statement is true in all or almost all cases
Without exception, his books have been widely read and admired.
The critics have praised her films almost without exception. [=the critics have praised almost every one of her films]
with the exception of
: not including (someone or something)
It's all here, with the exception of [=except for, except] the sweater.
With the (notable) exception of the bland soup, the food was very good.
Everyone should be there, with the (possible) exception of my brother.