I&#x27;m having trouble understanding the significance of Hartry Field&#x27;s work. It sounds like he replaced the axiomatic system of what we call mathematics with an axiomatic system that he developed specifically for Newtonian gravity, and based on this he was able to claim that mathematics is dispensable. As an undergrad in logic class, I got the impression that mathematics is the discipline that studies axiomatic systems, so if you build an axiomatic system, you&#x27;re doing mathematics. If that&#x27;s true, then isn&#x27;t all he did is just redefining the word mathematics in a very narrow sense and then dispensing with that narrowly defined notion?