Syllogistics is a term used to describe the logical argument that consists of a major premise, a minor premise, and a conclusion. However, there are several antonyms for this term, such as illogical, irrational, nonsensical, unreasonable, and invalid. These words describe arguments that lack sound reasoning or evidence to support their claims. Therefore, when discussing an argument or a statement, it is essential to determine its validity by assessing its logical structure and examining the evidence presented. By considering the antonyms of syllogistics, we can avoid falling victim to fallacious thinking and promote sound and rational discourse.