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Dedekinds Sätze und Peanos Axiomata

The work

AuthorsReinhard Kahle
Editors
Typearticle
Year2021
Citekeykahle2021dedekinds

Where it appeared

Published inPhilosophia Scientiae
Volume25
Issue1
Pages69--93

Identifiers

DOI10.4000/philosophiascientiae.2846
OpenAlexW3136271803

Access

Landing pagehttps://doi.org/10.4000/philosophiascientiae.2846
Free full texthttps://journals.openedition.org/philosophiascientiae/pdf/2846

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.

A copy is held

pdf, 529.5 kB. Not published — it may be under copyright. The facts and links here are.

How it got here

How it got hereagent via openalex
Added2026-08-05 00:00 UTC
Not denied bya person 2026-08-05 18:50 UTC

Filed under

the-axioms-before-peano

Cite it as

@article{kahle2021dedekinds,
  title        = {Dedekinds Sätze und Peanos Axiomata},
  author       = {Reinhard Kahle},
  year         = {2021},
  journal      = {Philosophia Scientiae},
  volume       = {25},
  number       = {1},
  pages        = {69--93},
  doi          = {10.4000/philosophiascientiae.2846},
}

This record lives at https://refs.drheap.org/kahle2021dedekinds/ and will keep doing so.