I know already that theoreticians usemathematics with research, how I don’t know. I know that pure mathematics andapplied mathematics work together by just making purely mathematical ideas thatcan later be found to be useful in physics, and since mathematics is a languageyou use in order to deal with how many ever mathematical parts of the wholeprocess of experiment and theory, the more ways you can think of the data,because the more ways you have of describing something with ordinary languageyou will have more ways to handle and thus think about whatever you are talkingabout. Mathematics is the language that physics is spoken in and that meansthat the more pure math you can develop and have sitting on the shelf (so tospeak), the more possibly you will be able to have in describing new ideas inphysics right away. How does logic work in general and in physics?