illative vs inference

illative is not a noun while inference is a noun.

Word	Noun	Adjective	Verb	Adverb
illative	No	Yes	No	No
inference	Yes	No	No	No

illative (noun)	inference (noun)
	the reasoning involved in drawing a conclusion or making a logical judgment on the basis of circumstantial evidence and prior conclusions rather than on the basis of direct observation

illative (adjective)	inference (adjective)
relating to or having the nature of illation or inference
expressing or preceding an inference
resembling or dependent on or arrived at by inference