Monday May 14,
Tel Aviv University

Tuesday May 15,
Tel Aviv University

Wednesday 16, Van Leer Jerusalem Institute

Thursday 17, Van Leer Jerusalem Institute

9:30 - 13:00
ANCIENT MATHEMATICAL CULTURES REVISITED
Part 1: Greeks

Greetings: Gideon Freudenthal

Chair:Sabetai Unguru

Ian Mueller: A minimalist Interpretation of Plato's Account of Arithmetic and Geometry in the Republic.

Ido Yavetz: Eudoxian Spheres and Greek Astronomy; A new interpretation

9:30 - 13:00
MODERN MATHEMATICAL STYLES IN THE MAKING

Chair: Karine Chemla

Ivo Schneider: A question of style: The background of Descartes' claim to the creation of a new mathematics.

Eric Brian: Mathematics and all that: Integrals, Series, Approximations around 1780

9:30 - 13:00
REASSESSING THE CONTRIBUTIONS OF GREEK MATHEMATICIANS

Chair: Itamar Pitowsky

Vassilis  Karasmanis: The method of Hippocrates of Chios

Christian Marinus Taisbak: Completing Euclid's Data

9:30 - 13:00
GOETTINGEN, JERUSALEM, VIENNA, AND PRINCETON: THE MAKING OFMATHEMATICAL TRADITIONS

David Rowe :  Mathematical Productivity as an Expression of Oral and Written Culture: the Case of Goettingen

Shaul Katz : A Pinch of Goettingen in Jerusalem:  Landau, Fraenkel, and the Einstein Institute of Mathematics

Coffee Break
11:00 - 11:30

Coffee Break
11:00 - 11:30

Coffee Break
11:00 - 11:30

Coffee Break
11:00 - 11:30

Michael Fried: The Use of Analogy in Book VII of Apollonius

General Discussion

Jeremy Gray: Anxiety and Abstraction in 19th Century  Mathematics

General Discussion

Hans-Joachim Waschkies: Operative foundations and deductive proofs in Greek arithmetic

Alain Bernard: Analysis and Sophistics in Pappus's 'Collectio Mathematica'

General Discussion

Mark Steiner: Wittgenstein as his own worst enemy: The Case of Goedel’s Theorem

General Discussion

Lunch Break
13:00 - 14:30

Lunch Break
13:00 - 14:30

Lunch Break
13:00 - 14:30

Lunch Break
13:00 - 14:30

14:30 - 18:30
ANCIENT MATHEMATICAL CULTURES REVISITED
Part II: EGYPTIAN, HEBREW, ARABIC, CHINESE

Chair: Orna Harari-Eshel

Annette Imhausen: Egyptian Mathematical texts in their Contexts

Tzvi Langermann: Pythagorean Texts and Traditions in Hebrew and Arabic.

14:30 - 18:30
MODERN MATHEMATICAL STYLES IN THE MAKING (Cont.)

Chair: Gideon Freudenthal

José Ferreirós: The emergence of the set-theoretical approach in mathematics

Erhard Scholz:  H. Weyl's treatment of the problem of space and the origin of gauge  structures

14:30 - 18:30
Tour of Jerusalem

14:30 - 18:30
WITTGENSTEIN, ARISTOTLE, AND THEIR COMMENTATORS: LOGIC,MATHEMATICS, AND PHYSICS

Chair: Menachem Fisch

Ruth Glasner: From Physics VI to VII: A turning point in the application of mathematics to physics

Orna Harari-Eshel: Syllogistic logic and Greek mathematical reasoning: a reassessment of the relationship between Aristotle's posterior analytics and Euclid's Elements

Coffee Break
16:00 - 16:30

Coffee Break
16:00 - 16:30

Coffee Break
16:00 - 16:30

Karine Chemla: The practice of mathematics in ancient China : problems and algorithms, computing devices and figures, proofs and related philosophical interests

General Discussion

Moritz Epple: The importance of local traditions: The making of modern knot theory in Vienna and Princeton during the 1920's.

General Discussion

General Discussion

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