irrational vs mathematics

irrational and mathematics both are nouns.

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

irrational (noun)	mathematics (noun)
a real number that cannot be expressed as a rational number	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

irrational (adjective)	mathematics (adjective)
not consistent with or using reason
real but not expressible as the quotient of two integers