half a mind

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.
Categories: informal noun

'half a mind' on video