During this time she was also a teacher at Downe School and Bedford School. She returned to Oxford in 1947 to do graduate work with Gilbert Murray. She began research on Plotinus's view of the soul, which she has described as "so unfashionable and so vast that I never finished my thesis". In retrospect Midgley has written of her belief that she is "lucky" to have missed out in having a doctorate. She argues that one of the main flaws in doctoral training is that, while it "shows you how to deal with difficult arguments", it does not "help you to grasp the big questions that provide its context – the background issues out of which the small problems arose."