existence vs face of the earth

existence and face of the earth both are nouns.

Word	Noun	Adjective	Verb	Adverb
existence	Yes	No	No	No
face of the earth	Yes	No	No	No

As nouns, existence and face of the earth are synonyms defined as:

Other synonyms of existence include being, beingness.

existence (noun)	face of the earth (noun)
everything that exists anywhere	the state or fact of existing
the state or fact of existing