syllogism vs syllogistic

syllogism and syllogistic both are nouns.

Word	Noun	Adjective	Verb	Adverb
syllogism	Yes	No	No	No
syllogistic	Yes	Yes	No	No

syllogism (noun)	syllogistic (noun)
deductive reasoning in which a conclusion is derived from two premises	in logic, the formal analysis of logical terms and operators and the structures that make it possible to infer true conclusions from given premises.

syllogism (adjective)	syllogistic (adjective)
	of or relating to or consisting of syllogism