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Home > Axes of research > History and Philosophy of Mathematics

History and Philosophy of Mathematics



- Thematics of research / RG Philmath / Seminar / Groupe de travail / Members / 2018–2022


  • Mathematical Practices: Writings and Instruments, Calculations and Diagrams ... - Historical, Anthropological and Philosophical Approaches 2018–2022
    The research developed in this theme aims, in part, to reconstruct and analyze the various mathematical practices that we can observe by relying on our sources and, on the other hand, to develop a philosophical and anthropological reflection. about these practices as such. We propose a study of the practices which breaks them up in a systematic way, before examining the modalities of the recomposition of their elements in various contexts. [...]
  • Mathematics and Philosophy from Ancient to Modern Age 2018–2022
    Mathematics and philosophy have maintained rich and consistent relationships throughout history. From Plato and Aristotle, one finds closely mixed mathematical and philosophical considerations, according to a tradition which is perpetuated via the commentators until the classical period at least. Theory of science, status of demonstrations, axioms and postulates, classification of propositions, analysis and synthesis, treatment of infinity, later place and role of algebra, differential calculus, etc., continually nourish the reflections of mathematicians and philosophers in a fruitful interaction. This interaction is not only interesting at a historical level: it still allows the present a mutual enrichment. [...]
  • Mathematics and Philosophy, 19th – 21st Centuries 2018–2022
    This theme brings together a body of research on the history and philosophy of mathematics in the nineteenth and twentieth centuries, according to two distinct and complementary orientations:
    – on the one hand, research on the history of mathematics which focuses more specifically on the study of mathematics in the 19th and 20th centuries in the context of various unifying projects or research groups.
    – on the other hand, research in the philosophy of mathematics covering a broad spectrum from the history of the philosophy of mathematics of the 19th and 20th centuries to contemporary issues related to 20th and 21st century mathematics (foundations and theory categories, topoi, theories of abstraction, philosophy of mathematical practices, logic and formalization).
    Although relatively independent in their own methods and forms of questioning, these two research orientations [...]



RG
2012–2017

  • GDR Philosophy of Mathematics
    The GDR 3719 was formed in March 2015 for a four year term. it brings together members of 17 laboratories. Its mission is to unite and develop works in Philosophy of Mathematics.



Seminar of the axis
History and Philosophy of Mathematics


Working group


Members / Thematics

Researchers – Phds students – Post–Phds students
BANCEL Faïza
BELLA Sandra
BARBIN Évelyne

BULLYNCK Maarten

CATREN Gabriel
CHAIGNEAU Pierre
CHEMLA Karine
BERTIN Pascal
CONFALONIERI Sara
CORTESE João
COUSIN Marion
CRIPPA Davide
CROZET Pascal
DEBROISE Philippe
DE RISI Vincenzo
DECORPS-FOULQUIER Micheline
DE GLAS Michel
DE VARENT Charlotte
DURAND-RICHARD Marie-José
FERREIROS Jose
GASTALDI Juan Luis
GONCALVES Carlos
GROSHOLZ Emily
HAFFNER Emmylou
HOUG Morgan
HOUZEL Christian
IKONICOFF Roman
KELLER Agathe
KOUTEYNIKOFF Odile
LEVY Tony
LOIZELET Guillaume
MALET Antoni
METIN Frédéric
MICHEL Nicolas
MORELON Regis
MORICE-SINGH Catherine
PENCHEVRE Erwan
PETROLO Mattia
PROUST Christine
RASHED Roshdi
RABOUIN David
REMAKI Arilès
REYNAUD Adeline
de RISI Vincenzo
ROMMEVAUX Sabine
SAMMARCHI Eleonora
SCHWARTZ Claire
SMADJA Ivahn
SZCZECINIARZ Jean-Jacques
TIMMERMANS Benoît
TROUILLOT Alexis
VANDENDRIESSCHE Éric
VERGNERIE Cédric
WANG Xiaofei
ZHOU Célestin

1 Mathematical practices: writings and instruments, calculations and diagrams

—Historical, Anthropological and Philosophical Approaches


Workshop Mathesis

Sub-axis Mathematics and Philosophy from Ancient to Modern Age


Research Group “Axioms & definitions”

Organization: Vincenzo de Risi (CNRS, SPHERE), Paola Cantù (Centre G.-G. Granger)


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