Sentence:  Or, to put the three views concretely, the formal <WSD>disciplinist</WSD> would say that training the reasoning power by mathematics would make one a better lawyer or medical diagnostician; the non-transferrist would say that training in geometry helped geometry but had nothing to do with, say, trigonometry, except in so far as you used identical factors in both; and the inductionist would grant a slight transfer from one form of mathematics to a similar form, regardless of a common element, while denying any appreciable spread to legal reasoning or medical diagnosis. 
Meaning of the word marked with <WSD> tags:  A proponent of disciplinism.