syllogize
verb
syl·lo·gize ˈsi-lə-ˌjīz 
syllogized; syllogizing
intransitive verb
: to reason by means of syllogisms
transitive verb
: to deduce by syllogism
syllogizes moral laws
Word History
Etymology
Middle English sylogysen, from Late Latin syllogizare, from Greek syllogizesthai
First Known Use
15th century, in the meaning defined at intransitive sense