Titlebook: Handbook of the History and Philosophy of Mathematical Practice; Bharath Sriraman Reference work 2024 Springer Nature Switzerland AG 2024

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Definitions (and Concepts) in Mathematical PracticeMathematical Practice point of view, however, there is much more to definitions. For example, definitions can play a role in problem solving, definitions can contribute to understanding, sometimes equivalent definitions are appreciated differently, and so on. This chapter reviews the literature on d

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含水层

Leonhard Euler Between Mathematics and Natural Philosophy: An Introduction to Natural Science Anleitathematics, and even those whose object is mechanics and astronomy contain many sections that can be classified as mathematics. Today Euler’s role as a physicist, especially as a scholar of mechanics, is re-evaluated. One of the most prolific scientific writers, Euler treated all the themes of mathe

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课程

René Thom: From Mathematics to Philosophytion with Aristotle, his criticism of the modern view of science as a predictive process, his ideas on mathematical education, his position with respect to the French school of mathematics that was dominant in his time, and his relationship with the philosophical community. I will also touch upon th

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Heuristics and Mathematical Practicebut often provide new avenues of mathematical research. Jody Azzouni has argued that underlying the practice of creating mathematical proofs there is a very specific norm: to each proof there should be a corresponding algorithmic derivation, a derivation in an algorithmic system. Here a framework is

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外貌

https://doi.org/10.1007/978-3-031-40846-5Origins; Natural history; Natural philosophy; Mathematicians reflections; Influences in 20c and 21c math