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The history and philosophy of mathematics

Histoire et philosophie des mathématiques

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Published on Thursday, December 15, 2016 by Céline Guilleux

Summary

The seminar is the meeting point between different SPHERE (Science, philosophie, histoire) teams that are interested in mathematics. It fosters dialogue between philosophers and historians of mathematics while focusing on textual sources. Speakers are encouraged to make their sources available to the participants.

Announcement

Coordination

  • Simon Decaens,
  • Emmylou Haffner,
  • Eleonora Sammarchi,

(Univ. Paris Diderot & SPHERE)

Argument

The seminar is the meeting point between different SPHERE teams that are interested in mathematics. It fosters dialogue between philosophers and historians of mathematics while focusing on textual sources. Speakers are encouraged to make their sources available to the participants.  

Abstracts are online.

Program

Sessions on Mondays, 9:30–17:00, Room Klimt, 366A. Building Condorcet, Université Paris 7 Diderot, 4 rue Elsa Morante, 75013 Paris*

Oct. 3 (9:30–13:00) On works of Grothendieck

  • Fernando Zalamea (Université Nationale de Colombie)Une vue du Résumé de Grothendieck à partir du système de création des Portes sur l’univers.
  • Brice Halimi (Univ. Paris Ouest Nanterre, IREPH, & SPHERE) Descente et contexte

Nov. 14. A critical approach of the opposition between "real numbers" and "abstract numbers" points anthropological, historical, and educational

Session organised by Christine Proust & Eric Vandendriessche

  • Danièle Dehouve (CNRS, LESC) Le nombre abstrait et les opérations de classification : réflexions à propos des Aztèques
  • Eric Vandendriessche (CNRS, SPHERE)Qu’est-ce que les numérations utilisées dans les sociétés dites «primitives» ont de «concret» ?
  • 14:00 – 15:30 Christine Proust (CNRS, SPHERE) Nombres concrets et nombres abstraits : une construction historiographique ? Le cas des mathématiques cunéiformes
  • 14:00 – 15:30 Christine Chambris (LDAR & Université de Cergy-Pontoise) Enseigner les nombres à l’école élémentaire sans les nombres concrets ?

Dec. 5. Additive and subtractive numbers/quantities from the ancient world to the classical period

Session organised by Matthieu Husson

  • 9:30–10:30 Eleonora Sammarchi (Université Paris Diderot, SPHERE) Additive and subtractive quantities in the arithmetics of unknowns: some considerations on al-Zanjanī’s algebra.
  • 10:15–11:45 Agathe Keller (CNRS, SPHERE)Understanding “positives” and “negatives” in Kṛṣṇa Daivajña’s Bījapallava (ca 1600-1625)
  • 12:00–13:00 Karine Chemla (CNRS, SPHERE) Positive and negative in China, 1st—13th century CE: From algorithmic marks to numbers.
  • 14:30–15:30 Matthieu Husson (CNRS, SYRTE-Observatoire de Paris) How many? The diversity of numbers and quantities featuring mention of additive/subtractive or excess/default in John of Murs astronomical and algebraic works
  • 15:45–16:45 Christine Proust (CNRS, SPHERE) Excess and default in cuneiform texts.

Feb. 20, 2017 (tbc) On Kosmos of von Humboldt

Session organised by Agathe Keller 5CNRS, SPHERE) & Yvahn Smadja (Univ. Paris Diderot, SPHERE)

March 13. Small variations in the series of problems

Session organised by Charlotte De Varent

  • 9:30 – 11:00 Alain Bernard (UPEC-ESPE & Centre Koyré) Variations choisies dans les problèmes des Arithmétiques de Diophante
  • 11:30 – 13:00 Charlotte de Varent (Univ. Paris Diderot, SPHERE & LDAR) Variations numériques l’évaluation de surfaces - école des scribes de Nippur (période Paléo-Babylonienne).
  • 14:00 – 15:30 Katalin Gosztonyi (Université Eötvös Loránd, Budapest) Séries de problèmes de combinatoire dans les manuels scolaires et livres de professeur hongrois de T. Varga (1978).
  • Répondant : P. Crozet (SPHERE), M.-J. Perrin et/ou C. Chambris (à confirmer)

April 24. Links between arithmetics and geometry at Modern Age

Session organised by Sébastien Maronne (IMT, univ. de Toulouse, & SPHERE)

Speakers: C. Goldstein (IMJ Jussieu-Paris Rive gauche) (tbc), D. Descotes (Université Blaise Pascal) (tbc), D. Rabouin (CNRS, SPHERE)

May 29. Instruments and theory on geometry

Session organised by Davide Crippa

Speakers:

  • Dominique Tournès (Université de la Réunion, LIM & SPHERE),
  • Davide Crippa,
  • Pietro Milici

June 12 (half-day)On transcendental numbers

Session organised by Simon Decaens (Univ. Paris Diderot, SPHERE & LDAR)

Practical information

Webpage of the seminar: http://www.sphere.univ-paris-diderot.fr/spip.php?article797

VENUE: Metro: Line 14, RER C, "Bibliothèque François Mitterrand".

Places

  • Salle Klimt, 366A, bâtiment Condorcet, - Université Paris Diderot, 4 rue Elsa Morante
    Paris, France (75013)

Date(s)

  • Monday, October 03, 2016
  • Monday, November 14, 2016
  • Monday, December 05, 2016
  • Monday, February 20, 2017
  • Monday, March 13, 2017
  • Monday, April 24, 2017
  • Monday, May 29, 2017
  • Monday, June 12, 2017

Keywords

  • Diophante, von Humboldt, John of Murs, cuneiform mathematics, Bījapallava, al-Zanjanī’s algebra, Grothendieck, algèbre

Contact(s)

  • nad fachard
    courriel : nad [dot] fachard [at] univ-paris-diderot [dot] fr

Information source

  • nad fachard
    courriel : nad [dot] fachard [at] univ-paris-diderot [dot] fr

To cite this announcement

« The history and philosophy of mathematics », Seminar, Calenda, Published on Thursday, December 15, 2016, https://calenda.org/388508

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