After discussing all three authors selected in the historical research and contextualizing them with the help of the Inferential Conception and Hacking’s styles of reasoning, we can wrap things up in this chapter and discuss the final philosophical points, including the sum of styles of mathematization. That is the concept of epistemic projects—an umbrella-like concept that swallows styles of mathematizations that are in some way similar to one another. In it, Aepinus’ and Coulomb’s styles can be seen as part of the same project—named the Newtonian project—because they share a defining characteristic: they are guided by mathematical reasoning. Johann Euler’s case differs. Euler’s style is guided by his mechanicism (and mechanistic considerations); therefore, he belongs to another project that only received development a century later.

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Conclusions

  • Lucas Marcelo Cavalari Nardi

摘要

After discussing all three authors selected in the historical research and contextualizing them with the help of the Inferential Conception and Hacking’s styles of reasoning, we can wrap things up in this chapter and discuss the final philosophical points, including the sum of styles of mathematization. That is the concept of epistemic projects—an umbrella-like concept that swallows styles of mathematizations that are in some way similar to one another. In it, Aepinus’ and Coulomb’s styles can be seen as part of the same project—named the Newtonian project—because they share a defining characteristic: they are guided by mathematical reasoning. Johann Euler’s case differs. Euler’s style is guided by his mechanicism (and mechanistic considerations); therefore, he belongs to another project that only received development a century later.