HPS391H1 Chapter Notes - Chapter 3: Euclidean Geometry, George Berkeley, Imaginary Number
29 Apr 2016
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Ten laws concerning patterns of change in the history of mathematics. Although the historiography of mathematics is well studied, it hasn"t changed much since cantor published his vorlesungen a century ago. The historiography of science, conversely, has changed quite a bit through the works of people like t. kuhn. Many historians are doubtful as to whether the insights from the philosophy of science can be applied to the historiography of mathematics. The works of the major historiography of science writers often neglect talking about mathematics. It"s hard to tell whether the conceptual structures of science and mathematics are too different for them to have similar patterns of development, however, some parts of the historiography of science might be applicable to mathematics. Ten laws: new concepts in mathematics don"t arise from mathematicians willingly. They might be against the idea at first.
