The title of my dissertation is Let Me See What I Think: Frege and Kant on Writing Mathematics. What is striking about mathematics as a field of study is that its practitioners paradigmatically can, do, and must make their discoveries, demonstrate their findings, and convince their peers simply by writing things out. Some of what is recognizably mathematics may be carried out in a natural language, but robust participation in the discipline requires learning one or more formal languages, contrived systems of techniques for meaningfully inscribing, arranging, and rearranging arrays of sign designs. The burden of this essay is to explain what i…

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