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CfP special issue of Philosophia Scientiae on Giuseppe Peano & his school, Deadline: 1 Mar 2020

Call for Articles

Giuseppe Peano and his School: logic, epistemology and didactics

Thematic issue of Philosophia Scienti

Guest editors: Paola Cant and Erika Luciano

Submission Deadline: 1 March 2020
Acceptance Notification: 1 July 2020
Final version due: 1 September 2020

Please send submissions to: paola.cantu@univ-amu.fr, erika.luciano@unito.it

Peano?s axioms for arithmetic, published in 1889, are ubiquitously cited 
in the writings on modern axiomatics. And his Formulary is often quoted as 
the precursor of Russell?s Principia Mathematica, but a comprehensive 
historical and philosophical evaluation of the contributions of the Peano 
School to mathematics, logic, and the foundation of mathematics is still 
to be achieved.

Even if the contributions by Padoa, Peano, Burali-Forti, Pieri, and 
Vailati impressed Russell as well as most participants in the 1900 Paris 
Conferences in Mathematics, Philosophy and Psychology, several reasons 
explain the loss of philosophical interest for the member of the school: 
the non-academic nature of the group, the multiform topics of interest 
(going from mathematical analysis to geometry, from linguistics to 
universal languages, from philosophical pragmatism to logicism), the 
scarce attention given to the transformation of mathematics and to the 
development of set theory after 1910, and the non monolithic philosophical 
perspective developed in the school.

Yet, notwithstanding a general lack of interest in the school (among the 
few notable exceptions I will cite here Kennedy, Grattan-Guinness, 
Ferreiros, and several Italian scholars, including Ugo Cassina, Paolo 
Mancosu, Gabriele Lolli, Clara Silvia Roero, Livia Giacardi, Erika 
Luciano, Enrico Pasini and Paola Cant), the views held by Peano and other 
members of the school not only had a strong impact on the writings by 
Frege, Russell, Carnap and Gdel, but can also be fruitfully explored in 
order to understand the development of certain philosophical isms, such as 
logicism and structuralism.

The thematic issue will publish two kinds of contributions: historical 
analyses of the logical, mathematical, foundational and didactical 
writings by Peano and the members of the school; philosophical 
investigations on the relation between Peano?s axiomatics and the 
approaches by Dedekind, Frege, Hilbert, Russell, Carnap, and Gdel.

One could deal with the following issues:

 	? What are the relations between Peano?s interests for 
mathematical analysis, linguistics, universal language, foundations of 
arithmetic and logic?

 	? Is there any relation between the interdisciplinary and 
collaborative approach of the group and its mathematical, logical and 
foundational results?

 	? What was the impact of the school on contemporaries? Was Peano?s 
figure dominant or were the figures of Pieri, Padoa, Burali-Forti and 
Vailati also influential?

 	? Was there any significant difference between Peano?s and 
Dedekind?s approach? If the latter is considered as a form of 
structuralism, should the former also be considered as such?

 	? What is the relation between Frege?s logicism and Peano?s 
approach?

 	? Was there any specific influence of the Peano School on the 
Vienna Circle?

 	? What are the main differences between the project of the 
Principia Mathematica and the project of the Formulary?

 	? Was there any relevant influence of the Peano School on 
Hilbert?s geometry, or vice-versa?

 	? What was the impact of Peano?s approach to didactics on the 
school?s epistemology?


Manuscripts should be submitted in French, English, or German, and 
prepared for anonymous peer review. Abstracts in French and English of 
200-300 words in length should be included. Articles should not exceed 50 
000 characters (spaces, list of references and footnotes included). Please 
send submissions to: paola.cantu@univ-amu.fr, erika.luciano@unito.it

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