SYLLOGIZE
syllogize, syllogise
(verb) reason by syllogisms
Source: WordNet® 3.1
Etymology
Verb
syllogize (third-person singular simple present syllogizes, present participle syllogizing, simple past and past participle syllogized)
(intransitive) To reason by means of syllogisms.
(transitive) To deduce consequences from.
Source: Wiktionary
Syl"lo*gize, v. i. [imp. & p. p. Syllogized; p. pr. & vb. n.
Syllogizing.] Etym: [Gr. syllogiser.]
Definition: To reason by means of syllogisms.
Men have endeavored . . . to teach boys to syllogize, or frame
arguments and refute them, without any real inward knowledge of the
question. I. Watts.
Source: Webster’s Unabridged Dictionary 1913 Edition