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The Collaborative International Dictionary
Syllogistically

Syllogistically \Syl`lo*gis"tic*al*ly\, adv. In a syllogistic manner.

Wiktionary
syllogistically

adv. In a syllogistic way.

Usage examples of "syllogistically".

It follows, syllogistically, that only identical types of narcissist and inverted narcissist can survive in a couple.

And how did it all interlock with certain impossibly, though syllogistically necessary conclusions that flowed from his recent research into the history of human knowledge?