Neurologists love to observe and measure. Historically, their tools have been the percussion hammer for knee jerks, the vibrating fork for bone conduction, and the pins for determining whether the patient is numb or faking it. Today, neurologists use electroencephalograms to tell when we're brain dead.
Medical students can spot a neurology professor a ward away.
No doubt the doctor peering into the centaur's skull is about to pronounce the poor fool as suffering from anencephaly.