postulate vs require

postulate is a noun but require is not a noun.

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

As verbs, postulate and require are synonyms defined as:

Other synonyms of postulate include ask, call for, demand, involve, necessitate, need, take.

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

postulate (verb)	require (verb)
take as a given; assume as a postulate or axiom	make someone do something
maintain or assert	consider obligatory; request and expect
require as useful, just, or proper	have need of
	require as useful, just, or proper