Dedekinds Sätze und Peanos Axiomata

Philosophia Scientiae 25:69-93 (2021)
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Abstract

In this paper, we discuss the question how Peano’s Arithmetic reached the place it occupies today in Mathematics. We compare Peano’s approach with Dedekind’s account of the subject. Then we highlight the role of Hilbert and Bernays in subsequent developments.

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10.4000/philosophiascientiae.2846

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Reinhard Kahle
University Tübingen

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
Hilbert's Programs: 1917–1922.Wilfried Sieg - 1999 - Bulletin of Symbolic Logic 5 (1):1-44.
Peano's axioms in their historical context.Michael Segre - 1994 - Archive for History of Exact Sciences 48 (3-4):201-342.

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