implicational vs implication

implicational is not a noun while implication is a noun.

Word	Noun	Adjective	Verb	Adverb
implicational	No	Yes	No	No
implication	Yes	No	No	No

implicational (noun)	implication (noun)
	a meaning that is not expressly stated but can be inferred
	something that is inferred (deduced or entailed or implied)
	an accusation that brings into intimate and usually incriminating connection
	a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
	a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false

implicational (adjective)	implication (adjective)
relating to or concerned with logical implication