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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Peano and the Foundations of Arithmetic
verfasst von : Gabriele Lolli
Erschienen in: Giuseppe Peano between Mathematics and Logic
Verlag: Springer Milan
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At the end of the 1880s two episodes occurred in rapid succession which formed the bases of what we call the foundations of arithmetic: the publication in 1888 of
Was sind und was sollen die Zahlen
by Richard Dedekind and in 1889 of
Arithmetices Principia, nova methodo exposita
by Giuseppe Peano. This work was to give Peano lasting fame, in that he had for the first time expounded the axioms for the system of natural numbers; from that time on they were linked to his name, and from the English “Peano Arithmetic” were known by the acronym PA.