In June 2008 The Archive recorded :

 

2nd June 2008

Paris/MSH : Seminar  “Histoire des Geometries”

Klaus VOLKERT (Cologne) : Quelques Elements de la Biographie du Plan Projectif

Click here for Recording of Talk

Click here for Notes

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4th June 2008

Paris/ENS Seminaire en Philosophie et Mathematique

Marcel BERGER (IHES) : Geometrie et Imagination : Quatre Breves Nouvelles

Click here for Recording of Talk

Click here for Notes

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June 9th–13th 2008

International Workshop on Mathematical Understanding Univ Paris 7.

An International Workshop on ‘Mathematical Understanding’ organized by Prof. Ivahn Smadja (University Paris-Diderot and REHSEIS) and jointly sponsored by the Département Histoire et Philosophie des Sciences – Université Denis Diderot, REHSEIS and the Ideals of Proof Project.

For more information see: http://www.histnet.cnrs.fr/research/sfhst/spip.php?article217

This workshop was intended to contrive a fruitful confrontation between studies of conceptually rich history of mathematics and themes in the philosophy of mathematics. Taking into account some historical background, notably some of the overarching viewpoints and programs which emerged in the 19th and 20th centuries : (geometrization, algebraization, arithmetization, …), the aim was to shed light on various epistemic, cognitive and logical aspects of mathematical knowledge. Different approaches were studied in the setting of particular historical case studies and then brought into relation to general philosophical questions and approaches involving logical and formal tools.

 

Day 1 :  Monday 9 June 2008

Talk 1 :  9h30-11h00 : Jeremy Gray (Open University London) : « Understanding [and] Riemann surfaces »

Click here for link to recording of Jeremy Gray’s Talk : Size 10.8 Mb : 1 hr 31 mins 23 seconds

Click here for his Overheads

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Talk 2 :  11h15-12h45 : Karine Chemla (CNRS Rehseis) : « Understanding while proving the correctness of algorithms. Reflexions based on ancient Chinese sources »

Click here for link to recording of Karine CHEMLA’s Talk : Size 13.00 Mb : 1 hr 49 mins 40 seconds

Click here for Notes

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Talk 3 :  14h30-16h00 : Alain Michel (Université d’Aix-Marseille) : « La théorie de la mesure: origines et prolongements »

Click here for link to recording by Alain MICHEL : Size 10,2 Mb ; 1 hr 25 mins 54 seconds

Click here for Notes

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Talk 4 :  16h15-17h45 : Renaud Chorlay (Université de Paris 8 – Rehseis)

« Making sense of it with structures : the mathematical (and philosophical) background to Charles Ehresmann’s work »

Click here for Link to Renaud Chorlay’s Talk : Size : 12.5 Mb ; 1 hr 45 mins 39 seconds

Click here for Notes

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Talk 5 :  18h00-19h30 : Andrei Rodin (Université Denis Diderot de Paris 7)

«Category theory, Mathematical Structuralism & Mathematical Hermeneutics»

Click here for link to Recording of Andrei Rodin’s Talk. Requires addition of digitalised audiotape back-up for last part of Talk

Click here for Notes

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Day 2 :  Tuesday 10 June 2008

Talk 1 :  14h00-15h30 : Ken Manders (University of Pittsburgh) : « On Mathematical Understanding »

Click here to listen to recording of Ken MANDERS Talk : Size 9.80 Mb : 1 hr 22 mins 24 seconds

Click here for Notes

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15h45-17h15 : Catherine Goldstein (CNRS, Institut de Mathématiques, Paris 6)

« Charles Hermite, Mathematical Understanding and Mathematical Nature » Click here for link to recording of Catherine GOODSTEIN’s Talk : Size 10.9 Mb ; 1 hr 32 mins 13 seconds

Click here for link to File 21 : .pdf of Contents and other information on Book : The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, edited by Catherine Goldstein, Norbert Schappacher and Joachim Schwermer, Berlin, Heidelberg, New York: Springer, 2007, (available at http://www.springer.com)

This File provides Background to Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)

Click here for link to File 22 : .pdf of VERSION PRELIMINAIRE, texte prévu pour l’ouvrage La justification en mathématiques, éd. D. Flament et P. Nabonnand : Un arithméticien contre l’arithmétisation : les principes de Charles Hermite This file provides Background to Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)

Click here for links to 3 Files (Files 23 – 25) : dvi files of overheads of Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)

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17h30-19h00 : Ivahn Smadja (Université Denis Diderot Paris 7) « Diverging Thrusts. Contrasting Insightful Plasticity with Articulate Embeddings »

Click here for link to recording of Ivahn SMADJA’s Talk : Size 10.9 Mb ; 1 hr 31 mins 46 seconds

Click here for Notes

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Day 3 :  Wednesday 11 June 2008

9h30-11h00 : Jeremy Avigad (Carnegie Mellon) : « The role of the diagram in Euclid‘s Elements »

Click here for link to recording of Jeremy AVIGAD’s Talk : Duration : 1 hr 51 mins 55 seconds : 13.3 Mb

Click here for Notes

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11h15-12h45 :  Philippe Nabonnand (Université de Nancy 2) « La polémique entre Poncelet et Von Staudt : comprendre la dualité »

Click here for link to recording of Philippe Nabonnand’s Talk : Size 10.9 Mb : 1 hr 18 mins 58 seconds

Click here for Notes

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14:30-16:00 : Gerhard Heinzmann (Université de Nancy 2)  « Mathematical Comprehension and Intuition »

Click here for link to recording of Gerhard HEINZMANN’s Talk : Size 10.2 Mb : 1 hr 13 mins 49 seconds

Click here for Notes

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16h15-17h45 : Mark Steiner (University of Jerusalem) : « Getting more out of mathematics than we put in: the case of complex numbers and their generalizations »

Click here for link to recording of Mark STEINER’s Talk ; Duration 1 hr 29 mins 21 seconds

Click here for Notes

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18:00-19:30 : Michel Paty (CNRS Rehseis) : « La Structure du rationnel dans l’invention de la theorie de la relativite et de la theorie quantique »

Click here for link to recording of Michel PATY’s Talk : Size 10.7 Mb : 1 hr 17 mins 37 seconds.

Click here for Notes

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Wednesday 11 June 2008

Seminar on Historical and Epistemological Approaches to the Study of Mathematical Concepts : IHP (Institut Henri Poincare) 14:00 hrs

Talk by Michel SERFATI (Convenor of Seminar) : Marshal Stone : Ideals and Duality : Stone’s contributions to the conceptual transformation of notions of algebraic structure 1920 – 1950 and the role of his work in the genesis of Category theory.

Click here for link to recording of Michel SERFATI’s Talk and sunsequent discussions : Duration : 1 hr 45 mins 37 seconds

Click here for Notes

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Thursday 12 June 2008

List of recordings of June 9th–13th 2008 : International Workshop on Mathematical Understanding (continued)

Talk 1 :  9h30-11h00 : Jan von Plato (University of Helsinki) « A combinatorial view of mathematical proofs »

Click here for link to recording of Jan von PLATO’s Talk : Duration : 1 hour 29 mins 09 seconds

Click here for Notes

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11h15-12h45 : Joël Merker (ENS Ulm, DMA & LATP) « Insights towards the speculative thought of formal computation »

Click here for link to recording of Joel MERKER’s Talk : Duration : 1 hour 24 minutes 30 seconds

14h30-16h45 : Andrew Arana (Kansas State University) & Mic Detlefsen (University of Notre-Dame)« Purity and Understanding »

 

LOGICA 2008 : Klasta Hejnice, Czech Republic

16^th-20^th JUNE 2008   (mf0608)

 

22nd – 28th JUNE 2008   :   ICTM 2008 :

INTERNATIONAL CATEGORY THEORY MEETING 2008 : At CALAIS : University of La Litoral

Details of Programme and  Information on Recordings of Talks to appear here.

Recordings and copies of overheads etc to be posted later with permission of the Speakers and Conference Organisers.

Documentation includes contemporary notes/ aide memoire of an exposition by FW LAWVERE in discussions/conversations of 25th June 2008 on the sense(s) in which set theory may be viewed as a fragment of algebraic geometry and other topics

 

JUNE 26^th 2008

Talks  in ICTM 2008 International Category Theory Meeting Calais June 22^nd-28^th 2008

Pedro RESENDE : Part I : Frobenius Objects in Cartesian BiCategories (Report on Joint Work with RFC Walters) plus Part II  : Invertibility and Rubano’s 1972 Theorem :  Monoidal Natural Transformations between Strong Monoidal Functors and their Duals

Taslyn KUSHALIK : On The Continuum Hypothesis in the setting of Topos Theory and Algebaric Set Theory

Aide-memoire/memorandum of short discussion with FWLawvere : How did Dedekind’s conception of the Continuum arise ? Could mathematicss have taken a different turn faced with the so-called “pathological functions” of 19th century Analysis – towards questioning the definition of continuity rather than expanding the notion of function ?

Keywords/threads  : Grothendieck topology ; preservation of coverings under pullback – along what ? arbitrary maps ? or those preserving a smaller class of coverings ? ;  piecewise analytic functions and the program of tame topology;  putting continuity (and cohesion) back into the continua

End of Section of Recordings of ICTM 2008

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23rd June 2008 : Paris/MSH Seminar  “Histoire des Geometries”

Pauline ROMANA-LEBRET (Univ. de NANTES) : La Nouvelle Geometrie du Triangle a la fin du XIXeme Siecle (1878-1881)

 

June 26th- 28th 2008 IHPST : Paris / London / St Andews Workshop on Language and Ontology

See Link to Abstracts of Talks and further information on Workshop

 

Monday 30^th June 2008  at IHPST and  Tuesday 1^st July 2008 at Univ Paris- Dauphine

Seminaire on Perspectives Philosophiques sur L’Aggregation des Jugements  (mf 0608)

Responsables : M. Cozic et P. Mongin

See Link to Abstracts of Talks

 

Many further entries to be added.