inferential vs logic

inferential is not a noun while logic is a noun.

Word	Noun	Adjective	Verb	Adverb
inferential	No	Yes	No	No
logic	Yes	No	No	No

inferential (noun)	logic (noun)
	the branch of philosophy that analyzes inference
	a system of reasoning
	reasoned and reasonable judgment
	the principles that guide reasoning within a given field or situation
	the system of operations performed by a computer that underlies the machine's representation of logical operations

inferential (adjective)	logic (adjective)
relating to or having the nature of illation or inference
derived or capable of being derived by inference
based on interpretation; not directly expressed
of reasoning; proceeding from general premisses to a necessary and specific conclusion
resembling or dependent on or arrived at by inference