Etymology
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inconceivable (adj.)

1630s, from in- (1) "not, opposite of" + conceivable. Related: Inconceivably; inconceivability. An Old English word for this was unasmeagendlic.

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Definitions of inconceivable

inconceivable (adj.)
totally unlikely;
Synonyms: impossible / out of the question / unimaginable
From wordnet.princeton.edu