Etymology
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actually (adv.)

early 15c., "in fact, in reality" (as opposed to "in possibility"), from actual + -ly (2). Meaning "actively, vigorously" is from mid-15c.; that of "at this time, at present" is from 1660s. As an intensive added to a statement and suggesting "as a matter of fact, really, in truth" it is attested from 1762, often used as an expression of mild wonder or surprise.

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Definitions of actually

actually (adv.)
in actual fact;
to be nominally but not actually independent
large meteorites actually come from the asteroid belt
no one actually saw the shark
Synonyms: really
actually (adv.)
used to imply that one would expect the fact to be the opposite of that stated; surprisingly;
you may actually be doing the right thing by walking out
she actually spoke Latin
Synonyms: in reality
actually (adv.)
at the present moment;
the transmission screen shows the picture that is actually on the air
actually (adv.)
as a sentence modifier to add slight emphasis;
actually, I haven't seen the film
she hasn't proved to be too satisfactory, actually
actually, we all help clear up after a meal
I'm not all that surprised actually
From wordnet.princeton.edu