mathematics vs imaginary

mathematics and imaginary both are nouns.

Word	Noun	Adjective	Verb	Adverb
mathematics	Yes	No	No	No
imaginary	Yes	Yes	No	No

mathematics (noun)	imaginary (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1

mathematics (adjective)	imaginary (adjective)
	not based on fact; existing only in the imagination