state of nature vs natural state

state of nature and natural state both are nouns.

Word	Noun	Adjective	Verb	Adverb
state of nature	Yes	No	No	No
natural state	Yes	No	No	No

As nouns, state of nature and natural state are synonyms defined as:

state of nature and natural state: a wild primitive state untouched by civilization

Other synonyms of state of nature include wild.

state of nature (noun)	natural state (noun)
a wild primitive state untouched by civilization	a wild primitive state untouched by civilization