possible vs mathematical

possible is a noun but mathematical is not a noun.

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

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

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