Character and object

Por • 21 sep, 2012 • Sección: Filosofía

Jeremy Avigad, Rebecca Morris

Abstract: In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses of Dirichlet characters in presentations of Dirichlet’s proof in the nineteenth and early twentieth centuries, with an eye towards understanding some of the pragmatic pressures that shaped the evolution of modern mathematical method. We also discuss similar pressures evident in Frege’s treatment of functions, and the nature of mathematical objects.

arXiv:1209.3657v1 [math.HO]

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