みなさま、

重複して受け取られた場合はどうかご容赦願います。名古屋大学・JSPSの高橋優太 と申します。

3月28日に、Jeremy Gray教授による以下の連続講義及び討論会が、慶応大学三田 キャンパスにて開催されます。どうぞご参加ください。

高橋 優太 yuuta.taka84@gmail.com

************************************************************ *********************** 「ポアンカレとワイルの数学の哲学」Gray教授連続講義と討論会（3月28日）

Philosophy of Mathematics of Poincare and Weyl Two lectures by Professor Jeremy Gray and Discussion

3月28日 (水) 15:00-18:00 Wed., Mar. 28th

慶應大三田キャンパス 東館4階セミナー室（オープンラボ） Mita Campus, Keio University, Meeting Room, 4F of East Research Building

（Gray教授のBiographyおよびAbstractsは下にあります。）

（最新情報 http://abelard.flet.keio.ac.jp/seminar/poincare-and-weyl-2018/ ） ************************************************************ ***********************

場所 Venue:

慶應義塾大学三田キャンパス 東館4階セミナー室（オープンラボ）

（東館は下記キャンパスマップの3です）

Mita Campus, Keio University, Meeting Room, 4F of East Research Building

(Number 3 of the Campus Map below)

構内図 Campus Map: https://www.keio.ac.jp/en/maps/mita.html

日時 Date & Time:

3月28日（水） 15:00-18:00 Wed., Mar. 28th

プログラム Program:

15:00-16:00

The philosophy of mathematics of Henri Poincaré

16:00-17:00

The philosophy of mathematics of Hermann Weyl

17:00-18:00 Discussion

Gray教授プロフィールと各講義のアブストラクトが下にあります。

このMeetingは名古屋大学情報学研究科・久木田水生先生のご協力により実現いたしました。

最新情報は

http://abelard.flet.keio.ac.jp/seminar/poincare-and-weyl-2018/

及び

http://www.carls.keio.ac.jp/gcarls/

にあります。

問い合わせ先：慶應義塾大学文学部哲学専攻 岡田光弘研究室

事務局アドレス logic@abelard.flet.keio.ac.jp

主催：慶應義塾大学 論理と感性のグローバル研究センター

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.

Abstracts:

Poincaré on proof and understanding

Poincaré has an exaggerated reputation not being rigorous in his work. In this talk I shall show that he cared about rigour in mathematics, but had justified criticisms of it. However, the more important task was to understand mathematics and physics, and this meant to be enabled to discover new ideas. Certainty in abstract mathematics was provided by the principle of recurrence, which imposed limits on any theory of sets. Thereafter, a pragmatic sense of certainty was provided in applied mathematics and physics by the use of conventions. Conventions, he believed, govern our choice of a geometry for space and the choice of the laws of mechanics and other branches of physics. Objectivity, he said, depended on discourse, and I shall argue that Poincaré’s fundamental position is that the use of mathematics in science is close to Wittgenstein’s idea of a language game.

The philosophy of Hermann Weyl

By 1910, the year he turned 25, Weyl was developing a finitist philosophy of mathematics, based on a logical theory of relations. He also believed that the human mind can understand ideas only sequentially. He developed this approach on his book The Continuum (1918), and for a time came close to agreeing with Brouwer’s intuitionism, but he abandoned them in the mid-1920s when he became involved in exploring the theory of Lie groups. He then had to turn back towards Hilbert’s ideas about mathematics and physics, and developed his own theory of what he called the symbolic universe in which mathematics and physics supported each other in complementary ways. Weyl sought a unified philosophy that would govern not only his scientific practice but be rooted in a theory of knowledge and an understanding of how it is acquired.

Jeremy Gray

Open University, Milton Keynes, MK7 6AA, U.K. and University of Warwick, Coventry, CV4 7AL, U.K.