madness vs rabidness

madness and rabidness both are nouns.

Word	Noun	Adjective	Verb	Adverb
madness	Yes	No	No	No
rabidness	Yes	No	No	No

As nouns, madness and rabidness are synonyms defined as:

Other synonyms of madness include rabidity.

madness (noun)	rabidness (noun)
unrestrained excitement or enthusiasm	unrestrained excitement or enthusiasm
the quality of being rash and foolish
a feeling of intense anger
obsolete terms for legal insanity
an acute viral disease of the nervous system of warm-blooded animals (usually transmitted by the bite of a rabid animal); rabies is fatal if the virus reaches the brain