[logic-ml] Symposium on Modernism and Modernisation in Mathematics

[久木田水生]

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unpublished philosophical essay.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), minao.kukita at i.nagoya-u.ac.jp