Source : Webster's Revised Unabridged Dictionary (1913)

Syllogistic \Syl`lo*gis"tic\, Syllogistical \Syl`lo*gis"tic*al\,
   a. [L. syllogisticus, Gr. ?: cf. F. syllogistique.]
   Of or pertaining to a syllogism; consisting of a syllogism,
   or of the form of reasoning by syllogisms; as, syllogistic
   arguments or reasoning.

Source : WordNet®

syllogistic
     adj : of or relating to or consisting of syllogism; "syllogistic
           reasoning"