Giuseppe Peano and his School: Axiomatics, Symbolism and Rigor

Philosophia Scientiae 25:3-14 (2021)
  Copy   BIBTEX

Abstract

Peano’s axioms for arithmetic, published in 1889, are ubiquitously cited in writings on modern axiomatics, and his Formulario is often quoted as the precursor of Russell’s Principia Mathematica. Yet, a comprehensive historical and philosophical evaluation of the contributions of the Peano School to mathematics, logic, and the foundation of mathematics remains to be made. In line with increased interest in the philosophy of mathematics for the investigation of mathematical practices, this them...

Categories

Add categories

Keywords

Reprint years

DOI

10.4000/philosophiascientiae.2788

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,571

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Giuseppe Peano and his School: Axiomatics, Symbolism and Rigor.Paola Cantù & Erika Luciano - 2021 - Philosophia Scientiae 25:3-14.
The mathematical philosophy of Giuseppe peano.Hubert C. Kennedy - 1963 - Philosophy of Science 30 (3):262-266.
Alessandro Terracini. Prefazione. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 5–7. - Beppo Levi. L'opera matematica di Giuseppe Peano. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 9–21. - Guido Ascoli. I motivi fondamentali dell'opera di Giuseppe Peano. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 23–30. - Beniamino Segre. Peano ed il Bourbakismo. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 31–39. - Francesco Barone. Un'apertura filosofica della logica simbolica peaniana. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 41–50. - Ludovico Geymonat. I fondamenti dell'aritmetica secondo Peano e le obiezioni “filosofiche” di B. Russell. In memoria di Giuseppe Peano, Presso il Liceo Scientifico Statale, Cuneo1955, pp. 51–63. - Tommaso Boggio. Il calcolo geometrico di Peano. In memoria di Giuseppe Peano, Presso. [REVIEW]Robert Feys - 1957 - Journal of Symbolic Logic 22 (3):306-307.
Frege, Peano and the Interplay between Logic and Mathematics.Joan Bertran-San Millán - 2021 - Philosophia Scientiae 25 (1):15-34.
Life and Works of Giovanni Vailati.Paola Cantù & De Zan Mauro - 2009 - In Arrighi Claudia, Cantù Paola, De Zan Mauro & Suppes Patrick (eds.), Life and Works of Giovanni Vailati. CSLI Publications.
A new reading and comparative interpretation of Gödel’s completeness (1930) and incompleteness (1931) theorems.Vasil Penchev - 2016 - Логико-Философские Штудии 13 (2):187-188.
Essays in the philosophy and history of logic and mathematics.Roman Murawski - 2010 - New York, NY: Rodopi. Edited by Thomas Bedürftig, Izabela Bondecka-Krzykowska & Jan Woleński.
Peano’s Reception in the USA. Wilson’s Review of Russell’s Principles.Gabriele Lolli - 2021 - Philosophia Scientiae 25:49-67.
Peano e la filosofia della matematica.Enrico Pasini - 2004 - In Elisa Gallo - Livia Giacardi - Clara Silvia Roero (ed.), Conferenze E Seminari 2003-2004. Associazione Subalpina Mathesis. pp. 203-220.
Il carteggio fra Peano e Camillo Berneri.Enrico Pasini - 2001 - In Clara Silvia Roero (ed.), Giuseppe Peano. Matematica, Cultura E Società. L’Artistica. pp. 49-59.
Quantum Mathematics.J. Michael Dunn - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:512 - 531.
Frege, Peano and the Interplay between Logic and Mathematics.Joan Bertran-San Millán - 2021 - Philosophia Scientiae 25:15-34.
Selected Works of Giuseppe Peano.Hubert C. Kennedy & Giuseppe Peano - 1980 - Journal of Symbolic Logic 45 (1):177-180.
The Foundations of Geometry by Peano’s School and Some Epistemological Considerations.Paolo Freguglia - 2018 - In Hassan Tahiri (ed.), The Philosophers and Mathematics: Festschrift for Roshdi Rashed. Cham: Springer Verlag. pp. 101-116.
Why Axiomatize Arithmetic?Charles Sayward - 2005 - Sorites 16:54-61.

Analytics

Added to PP
2021-06-20

Downloads
19 (#793,132)

6 months
3 (#967,806)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Paola Cantù
Centre National de la Recherche Scientifique

Citations of this work

No citations found.

Add more citations

References found in this work

On the relationship between plane and solid geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.

View all 10 references / Add more references