Also, especially British, syl⋅lo⋅gise.
Origin: 1375–1425; late ME
silogysen < LL
syllogizāre < Gk
syllogízesthai to reason, equiv. to
syl- syl- +
logízesthai to reckon, infer, equiv. to
lóg(
os) discourse (
see logos ) +
-izesthai -ize 
Related forms: syl⋅lo⋅gi⋅za⋅tion, noun
syl⋅lo⋅giz⋅er, noun