ideate

ideate | ˈīdēˌāt | verb [with object] mainly formal form an idea of; imagine or conceive: he is part of a team that ideates branding strategies (as adjective ideated) :  the arc whose ideated center is a nodal point in the composition. • [no object] form ideas; thinkORIGIN early 17th century: from medieval Latin ideat- formed as an idea’, from the verb ideare, from Latin idea (see idea).