Synonyms for Posit (same or very similar meaning)
WordNet sense 1 ((logic) a proposition that is accepted as true in order to provide a basis for logical reasoning):
postulate, postulateWordNet sense 2 (put (something somewhere) firmly):
deposit, fix, situateWordNet sense 3 (put before):
state, submit, put forwardFrom the ODE community, based on WordNetadd/edit