proposition vs undertaking

proposition and undertaking both are nouns.

Word	Noun	Adjective	Verb	Adverb
proposition	Yes	No	Yes	No
undertaking	Yes	No	No	No

As nouns, undertaking is a hypernym of proposition; that is, undertaking is a word with a broader meaning than proposition:

Other hypernyms of proposition include labor, labour, project, task.

proposition (noun)	undertaking (noun)
a task to be dealt with	any piece of work that is undertaken or attempted
(logic) a statement that affirms or denies something and is either true or false	the trade of a funeral director
a proposal offered for acceptance or rejection
the act of making a proposal
an offer for a private bargain (especially a request for sexual favors)

proposition (verb)	undertaking (verb)
suggest sex to