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The Collaborative International Dictionary
Exceptionableness

Exceptionable \Ex*cep"tion*a*ble\ ([e^]k*s[e^]p"sh[u^]n*[.a]*b'l), a. Liable to exception or objection; objectionable. -- Ex*cep"tion*a*ble*ness, n.

This passage I look upon to be the most exceptionable in the whole poem.
--Addison.

Wiktionary
exceptionableness

n. The quality of being exceptionable.