Syllogize \Syl"lo*gize\, v. i. [imp. & p. p. {Syllogized}; p.
pr. & vb. n. {Syllogizing}.] [Gr. ?: cf. F. syllogiser.]
To reason by means of syllogisms.
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Men have endeavored . . . to teach boys to syllogize,
or frame arguments and refute them, without any real
inward knowledge of the question. --I. Watts.
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