totality vs completeness

totality and completeness both are nouns.

Word	Noun	Adjective	Verb	Adverb
totality	Yes	No	No	No
completeness	Yes	No	No	No

As nouns, completeness is a hypernym of totality; that is, completeness is a word with a broader meaning than totality:

totality: the state of being total and complete
completeness: the state of being complete and entire; having everything that is needed

totality (noun)	completeness (noun)
the whole amount	(logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system
the quality of being complete and indiscriminate	the state of being complete and entire; having everything that is needed
the state of being total and complete