folly vs madness

folly and madness both are nouns.

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

As nouns, folly and madness are synonyms defined as:

Other synonyms of folly include craziness, foolishness.

folly (noun)	madness (noun)
foolish or senseless behavior	unrestrained excitement or enthusiasm
a stupid mistake	the quality of being rash and foolish
the trait of acting stupidly or rashly	a feeling of intense anger
the quality of being rash and foolish	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