mathematical vs possible

mathematical is not a noun while possible is a noun.

Word	Noun	Adjective	Verb	Adverb
mathematical	No	Yes	No	No
possible	Yes	Yes	No	No

mathematical (noun)	possible (noun)
	something that can be done
	an applicant who might be suitable

mathematical (adjective)	possible (adjective)
relating to or having ability to think in or work with numbers	capable of happening or existing
of or pertaining to or of the nature of mathematics	existing in possibility
characterized by the exactness or precision of mathematics
statistically possible though highly improbable
beyond question