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v. i. [ imp. & p. p. Syllogized p. pr. & vb. n. Syllogizing ] [ Gr. &unr_;: cf. F. syllogiser. ] To reason by means of syllogisms. [ 1913 Webster ]

Men have endeavored . . . to teach boys to syllogize, or frame arguments and refute them, without any real inward knowledge of the question. I. Watts. [ 1913 Webster ]