Английский словарь американских идиом - half a mind

also half a notion {n. phr.}, {informal} A wish or plan that you have not yet decided to act on; a thought of possibly doing something. - Used after "have" or "with" and before "to" and an infinitive. * /I have half a mind to stop studying and walk over to the brook./ * /Jerry went home with half a mind to telephone Betty./