M-à-J : Monday 5 December 2005 -
Morning sessions how does one identify and analyze a movement in the hitory of mathematics? An unexpected form of Newtonianism in Tobias Mayer’s lunar tables Les doutes de D’Alembert sur le développement des fonctions en séries entières "ein blosses Anweisen und Abschreiben" - On mathematical tables in late 18th century Germany On fluid, yet fundamental, concepts in Abel’s mathematics Movements in the history od XVIII-XXth century Mathematics sessions 1 & 2
Afternoon sessions Evolution of the notion of neighborhood and emergence of the local Carl Störmer and his numerical method On the identity of a theorem throughout history: a history of the Jordan canonical form (1870-1930) Les patrons de l’entre-deux-guerres dans le milieu mathématique français et universitaire P.M.S. Blackett: An epistemic approach to the emergence of Operational Research The cooperation of Heinrich Behnke (1898-1979) and Henri Cartan (*1904) Movements in the history od XVIII-XXth century Mathematics sessions 3 & 4
Morning sessions History of mathematics sessions The Tabule tabularum of John of Murs Mathematical rapports and proportions in the interpretation of gods and of other spiritual principles of the ancient Egyptian religious philosophy. The case from The Book of Bas, Berlin Papyrus 10477 Le problème d’oiseaux de Zhang Qiujian à Léonard de Pise : procédés de résolution The Epistle of the Number- a Hisaab treatise on the Medieval Hebrew Bookshelf About congruent numbers, as studied by Guillaume Gosselin, an algebraist in Renaissance France History of mathematics session 1 & 2 Philosophy of mathematics sessions Edmund Husserls: “The question of the Origin of the Geometry” Le propensionnisme: une interprétation métaphysique du calcul des probabilités When I talk about language I must speak the language of every day Les mathématiques: tautologies ou propositions ? Hilbert and Wittgenstein on Consistency proofs and infinity Philosophy of mathematics sessions 1 & 2
History of mathematics sessions The Tabule tabularum of John of Murs Mathematical rapports and proportions in the interpretation of gods and of other spiritual principles of the ancient Egyptian religious philosophy. The case from The Book of Bas, Berlin Papyrus 10477 Le problème d’oiseaux de Zhang Qiujian à Léonard de Pise : procédés de résolution The Epistle of the Number- a Hisaab treatise on the Medieval Hebrew Bookshelf About congruent numbers, as studied by Guillaume Gosselin, an algebraist in Renaissance France History of mathematics session 1 & 2
Philosophy of mathematics sessions Edmund Husserls: “The question of the Origin of the Geometry” Le propensionnisme: une interprétation métaphysique du calcul des probabilités When I talk about language I must speak the language of every day Les mathématiques: tautologies ou propositions ? Hilbert and Wittgenstein on Consistency proofs and infinity Philosophy of mathematics sessions 1 & 2
Afternoon sessions History of mathematics sessions Ulugh Beg: A Scientist of Astronomy and Mathematics in the 15th Century Ali Kuscu’s Contributions to Astronomy and Mathematics in the ottoman Empire The windmills of Simon Stevin Mathematics in the Jesuit Province of Flandro-Belgica during the Seventeenth Century On proportions of proportions: one aspect of the application of mathematics to music in the seventeenth century New planets in the solar system 200 years ago History of mathematics session 3 & 4 Philosophy of logic sessions What is a correct description of the ancient analytical -synthetical method? The Standard Interpretation of Higher-Order Variables in Modern Logic and the Concept of Arbitrary Function in Mathematics A not trivial intersection of logic and geometry: n-opposition theory Abstract Tendencies: The Recursive Thought of Alan Turing Post’s machine Philosophy of logic sessions 1& 2 Philosophy of mathematics session How does it happen? The tacit (human-bounded) part of mathematics. What can be known about it? Empirical aspects of mathematics Philosophy of mathematics sessions 3
History of mathematics sessions Ulugh Beg: A Scientist of Astronomy and Mathematics in the 15th Century Ali Kuscu’s Contributions to Astronomy and Mathematics in the ottoman Empire The windmills of Simon Stevin Mathematics in the Jesuit Province of Flandro-Belgica during the Seventeenth Century On proportions of proportions: one aspect of the application of mathematics to music in the seventeenth century New planets in the solar system 200 years ago History of mathematics session 3 & 4
Philosophy of logic sessions What is a correct description of the ancient analytical -synthetical method? The Standard Interpretation of Higher-Order Variables in Modern Logic and the Concept of Arbitrary Function in Mathematics A not trivial intersection of logic and geometry: n-opposition theory Abstract Tendencies: The Recursive Thought of Alan Turing Post’s machine Philosophy of logic sessions 1& 2
Philosophy of mathematics session How does it happen? The tacit (human-bounded) part of mathematics. What can be known about it? Empirical aspects of mathematics Philosophy of mathematics sessions 3
History of geometry History of Descriptive Geometry in England Les Annales : de Gergonne à Liouville. Intentions, ruptures et continuité rédactionnelles Plücker’s Geometrical Models Alicia Boole Stott and four-dimensional geometry Did János Bolyai define the term “parallela” in the first paragraph of his Appendix at all? Clifford’s Curved World: Riemannian geometry and British philosophy in the 1860s History of geometry sessions 1& 2
History of Mathematics Bieberbach’s solution to the 18th Hilbert problem Van der Waerden and nationalsocialism: a reevaluation Kurt Hensel and the creation of p-adic numbers Ramanujan - A Mathematical Genius History of mathematics session 5
