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The Collaborative International Dictionary
Sophistically

Sophistic \So*phis"tic\, Sophistical \So*phis"tic*al\, a. [L. sophisticus, Gr. ?: cf. F. sophistique.] Of or pertaining to a sophist; embodying sophistry; fallaciously subtile; not sound.

His argument . . . is altogether sophistical.
--Macaulay. [1913 Webster] -- So*phis"tic*al*ly, adv. -- So*phis"tic*al*ness, n.

Wiktionary
sophistically

adv. In a sophistical fashion.

Usage examples of "sophistically".

And yet they have been often and sophistically cited by the vivisector as plausible arguments for inflicting both excessive and useless pain.