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i have a b.a. in english. i know exactly what it means. i used it exactly in that sense and applied to what i said above, used it correctly.
inconceivable is "not to be conceived of" as in, impossible to think of, as in, impossible to believe, as in, "It's impossible that this has happened, I don't believe it!"
And I keep using it (untrue, the number of times can be counted on one hand, I believe), most particularly in relation to the very topic this thread is on. The film uses it, so i made a joke.