entertain

(verb) provide entertainment for.

(verb) take into consideration, have in view. Synonyms: think of, toy with, flirt with, think about. Example: "He entertained the notion of moving to south america."

(verb) maintain (a theory, thoughts, or feelings). Synonyms: harbor, harbour, hold, nurse. Examples: "Bear a grudge." "Entertain interesting notions." "Harbor a resentment."