OK...could you specify, oh, half a dozen medical breakthroughs that we should blame directly and obviously on trained mathematicians, rather than trained medical biologists, such as Fleming, Pauling, or Pasteur? Could you perhaps identify the mathematicians who were directly responsible for Pasteur's germ theory of disease? Pauling's (a chem major) major breakthroughs?
You are still arguing utility. That is fine as far as it goes, but I suspect we are at cross-purposes at this point.