He could see the first moment they came into the room (the Warren Smiths they were called); he was certain directly he saw the man; it was a case of extreme gravity. It was a case of complete breakdown – complete physical and nervous breakdown, with every symptom in an advanced stage, he ascertained in two or three minutes (writing answers to questions, murmured discreetly, on a pink card). (4.106)
Dr Bradshaw notices the madness that Dr Holmes seems all too willing to ignore. Septimus is an extreme example.
But he was not mad, was he? Sir William said he never spoke of "madness"; he called it not having a sense of proportion. (4.119)
Dr Bradshaw’s way of managing his patients is by denying that they’re "mad," and instead considering psychological problems in light of proportion. He is much more of a scientist than a caretaker.