antilogism vs logical relation

antilogism and logical relation both are nouns.

Word	Noun	Adjective	Verb	Adverb
antilogism	Yes	No	No	No
logical relation	Yes	No	No	No

As nouns, logical relation is a hypernym of antilogism; that is, logical relation is a word with a broader meaning than antilogism:

antilogism: an inconsistent triad of propositions in logic of which two are premises of a valid syllogism while the third is the contradictory of its conclusion.
logical relation: a relation between propositions

antilogism (noun)	logical relation (noun)
an inconsistent triad of propositions in logic of which two are premises of a valid syllogism while the third is the contradictory of its conclusion.	a relation between propositions