Suggest
Part of speech: verb
Definition: To imply but stop short of saying explicitly. To make one suppose; cause one to suppose (something). To ask for without demanding. To recommend.
Example sentence: It strains credulity to suggest that an agency charged with gathering intelligence affecting the national security does not have an 'intelligence interest' in drone strikes, even if that agency does not operate the drones itself.
Propose
Part of speech: verb
Definition: To suggest a plan or course of action.To ask for a person's hand in marriage.To intend.
Example sentence: I propose to construct a new chart for navigating, on which I shall delineate all the sea and lands of the Ocean in their proper positions under their bearings; and further, I propose to prepare a book, and to put down all as it were in a picture, by latitude from the equator, and western longitude.