Peano and the Foundations of Arithmetic
The work
| Title | Peano and the Foundations of Arithmetic |
|---|---|
| Authors | Gabriele Lolli |
| Type | chapter in a collection |
| Year | 2011 |
| Citekey | lolli2011peano |
Where it appeared
| Published in | Giuseppe Peano between Mathematics and Logic |
|---|---|
| Publisher | Springer |
| Pages | 47--67 |
Identifiers
| DOI | 10.1007/978-88-470-1836-5_4 |
|---|---|
| ISBN | 978-88-470-1836-5 |
Access
| Link it arrived with | https://doi.org/10.1007/978-88-470-1836-5_4 |
|---|
Abstract
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.
Copy held
| Kind | PDF, 278.3 kB |
|---|---|
| Retrieved | 2026-08-05 |
| Held | local, for personal reference |
Where this came from
| How it got here | already cited · cited in bibtex |
|---|---|
| First seen | 2026-08-04 |
| Standing | endorsed |
| Approved | 2026-08-05 |
Cite it as
@incollection{lolli2011peano,
title = {Peano and the Foundations of Arithmetic},
author = {Gabriele Lolli},
year = {2011},
booktitle = {Giuseppe Peano between Mathematics and Logic},
pages = {47--67},
publisher = {Springer},
doi = {10.1007/978-88-470-1836-5_4},
isbn = {978-88-470-1836-5},
url = {https://doi.org/10.1007/978-88-470-1836-5_4},
}
This record lives at https://refs.drheap.org/lolli2011peano/ and will keep doing so.