separateness vs independence

separateness and independence both are nouns.

Word	Noun	Adjective	Verb	Adverb
separateness	Yes	No	No	No
independence	Yes	No	No	No

As nouns, independence is a hypernym of separateness; that is, independence is a word with a broader meaning than separateness:

Other hypernyms of separateness include independency.

separateness (noun)	independence (noun)
the quality of being not alike; being distinct or different from that otherwise experienced or known	the successful ending of the American Revolution
political independence	freedom from control or influence of another or others
the state of being several and distinct