rabidity vs madness

rabidity and madness both are nouns.

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

As nouns, rabidity and madness are synonyms defined as:

Other synonyms of rabidity include rabidness.

rabidity (noun)	madness (noun)
unrestrained excitement or enthusiasm	unrestrained excitement or enthusiasm
The property of being very extreme, unreasonable, or fanatical in opinion; excessively zealous; comparable to one with rabies.	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