皆さま、
数学史家の Jeremy Gray 先生（The Open University）と林晋先生（京都大学）をお招きして、4月7日、名古屋大学にてシンポジウムを開催いたします。本シンポジウムは応用哲学会の年次大会の一部として開催されますが、シンポジウムのみご参加の方からは参加費をいただきません。どうぞ奮ってご参加ください。また興味を持ちそうな方にお声がけいただけると幸いです。
久木田水生
Symposium on Modernism and Modernisation in Mathematics
Time: 16:15-18:30, April 7th, 2018 2018年4月7日、16:15-18:30
Place: Room A31, Liberal Arts and Sciences Building A, Higashiyama Campus, Nagoya University. (No. A4(1) of http://www.nagoya-u.ac.jp/access-map/index.html) 名古屋大学東山キャンパス全学教育棟A館A31教室。http://www.nagoya-u.ac.jp/access-map/index.html のA4(1)の建物
Lecture 1: Jeremy Gray, ``Poincaré and Weyl: two dissenters from mathematical modernism''
Around 1900 a characteristic form of modern mathematics took over the subject, which we associate with Georg Cantor, Richard Dedekind, and David Hilbert among others. It sees mathematics as an autonomous system of ideas, emphasises the formal or axiomatic aspects, and brings about a complicated relationship with the sciences. Henri Poincaré (1854-1912) and Hermann Weyl (1885-1955) preferred a much more intimate connection between mathematics and physics and argued in different ways for a symbiotic approach, which they also linked to a broader philosophical vision.
Lecture 2: Susumu Hayashi, ``How was Mathematics modernized?''
I have been developing a historical view on the modernization, in the sense of Max Weber sociology, of mathematics for the last 19 years. I will outline it in this presentation. The starting point of my research was an enigmatic (to me) claim by Kurt Godel in his unpublished philosophical essay. His claim may be interpreted as “World-views have been disenchanted (modernized) through the history since the Renaissance. Particularly in physics, this development reached a peak in the 20th century. However, mathematics alone went in the opposite direction as set theory was introduced into it.” My historical view was slightly changed from Godel’s to make it fit into Weber’s modernization theory. I will discuss how important Hilbert’s program and Godel’s incompleteness theorems were for the modernization of mathematics, and how they made the process of modernization of mathematics somewhat different from the process of modernization of physics.
Jeremy Gray short bio
Jeremy Gray is an Emeritus Professor of The Open University and an Honorary Professor in the Mathematics Department at the University of Warwick. His research interests are in the history of mathematics, specifically the history of algebra, analysis, and geometry, and mathematical modernism in the 19th and early 20th Centuries. The work on mathematical modernism links the history of mathematics with the history of science and issues in mathematical logic and the philosophy of mathematics.
He was awarded the Otto Neugebauer Prize of the European Mathematical Society in 2016 for his work in the history of mathematics, and the Albert Leon Whiteman Memorial Prize of the American Mathematical Society in 2009 for his contributions to the study of the history of modern mathematics internationally. In 2012 he was elected an Inaugural Fellow of the American Mathematical Society. In 2010 he was one of the nine founder members of the Association for the Philosophy of Mathematical Practice (APMP).
He is the author of eleven books, of which among the most recent are Plato’s Ghost: The Modernist Transformation of Mathematics (Princeton U.P. 2008), Henri Poincaré: a scientific biography (Princeton 2012), and The Real and the Complex (Springer 2015). Two more books are to be published in 2018: Under the Banner of Number: A History of Abstract Algebra, by Springer, and Simply Riemann in the Simply Charly series of e-books.
Susumu Hayashi short bio
Susumu Hayashi is a professor of Kyoto university and an emeritus professor of Kobe university. He started his academic career in mathematics, and then moved to other research areas including computer science, software engineering, science and technology policy research for Japanese goverment, history of mathematics, digital humanities, and history of ideas.
His current research interests are mainly the history of the foundations of mathematics, the history of Kyoto school of philosophy, and digital humanities.
He is the author of ten books and over fifty academic articles. He is now working on a book of Iwanami Shinsho series on Godel's incompleteness theorems and the history of the foundations of mathematics based on the sociological modernization theory.
Contact Information: Minao Kukita (久木田水生), [email protected]