assert vs postulate

assert is not a noun while postulate is a noun.

Word	Noun	Adjective	Verb	Adverb
assert	No	No	Yes	No
postulate	Yes	No	Yes	No

As verbs, postulate is a hypernym of assert; that is, postulate is a word with a broader meaning than assert:

Other hypernyms of assert include posit.

assert (noun)	postulate (noun)
	(logic) a proposition that is accepted as true in order to provide a basis for logical reasoning

assert (verb)	postulate (verb)
postulate positively and assertively	take as a given; assume as a postulate or axiom
to declare or affirm solemnly and formally as true	maintain or assert
state categorically	require as useful, just, or proper
insist on having one's opinions and rights recognized