assumption vs supposition

assumption and supposition both are nouns.

Word	Noun	Adjective	Verb	Adverb
assumption	Yes	No	No	No
supposition	Yes	No	No	No

As nouns, assumption and supposition are synonyms defined as:

Other synonyms of assumption include supposal.

assumption (noun)	supposition (noun)
the act of taking possession of or power over something	a hypothesis that is taken for granted
the act of assuming or taking for granted	the cognitive process of supposing
audacious (even arrogant) behavior that you have no right to	a message expressing an opinion based on incomplete evidence
a hypothesis that is taken for granted
a statement that is assumed to be true and from which a conclusion can be drawn