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Inconceivable

Not conceivable; incapable of being conceived by the mind; not explicable by the human intellect, or by any known principles or agencies; incomprehensible; as, it is inconceivable to us how the will acts in producing muscular motion. It is inconceivable to me that a spiritual substance should represent an extended figure. (Locke) Inconceivableness, Inconceivably, The inconceivableness of a quality existing without any subject to possess it. (a. Tucker)

Origin: Pref. In- not _ conceivable: cf. F. Inconcevable.