syllŏgistĭcus

a, um, adj.
I. of or belonging to a syllogism, syllogistic: (Cicero) statum syllogisticum ratiocinativum appellat, Quint. 5, 10, 6.—Hence, adv.: syllŏgistĭcē, syllogistically, in syllogisms, Boëth. Arist. Anal. Post. 1, 9, p. 530.
Lewis & Short
A Latin Dictionary, 1879
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