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Douglas Harper's Etymology Dictionary
conceptually

1842, from conceptual + -ly (2).

Wiktionary
conceptually

adv. In a conceptual manner

WordNet
conceptually

adv. in a conceptual manner; "he can no longer think conceptually"; "conceptually, the idea is quite simple"

Usage examples of "conceptually".

A BSU staff member joined the VICAP Task Force, and the Behavioral Science Unit programs merged conceptually with VICAP.

Many contemplatives, on the other hand, seek to disengage from their conceptually structured experiences derived from both sensory and mental perception and to enter a state free of all subjective constructs.

She was beautiful, broad as a manysectioned cubistic bather, conceptually new, cloudbosomed, ultimate.

Conceptually, the universe had been a reasonably comfortable place to live in, in primitive atomic theory which offered the assurance that everything, earth, air, fire or water, steel and oranges, man or star, was ultimately composed of submicroscopic vortices called protons and electrons leavened a little with neutrons and neutrinos which had no charge, and bound together by a disorderly but homely family of mesons.

He gets to the point, conceptually, where his grandfather was when he commenced breaking the Arethusa messages.

I believe that making the BeOS less conceptually accessible and far less reliable will require developers to band together, thus developing the kind of community where strangers talk to one- another, kind of like at a grocery store before a huge snowstorm.