on Mathematical Practices
here you find this site has been thoroughly changed in 2005 and/or 2006
International Conference on the Philosophy
Thursday 24 - Saturday 26 October, 2002
Brussels University (VUB), Belgium
Chair: Jean Paul Van Bendegem
Declaration of Intent
| The twentieth-century research
in philosophy of mathematics was mainly focused on foundational studies.
Either specific mathematical theories were proposed as ultimate foundations
(set theory, category theory,
), or mathematics was imbedded
in specific philosophical theories (naturalism, realism, neo-platonism,
). All these approaches were focused on the outcomes
or "products" of mathematical practice.
Since the seminal work of Imre Lakatos, Proofs and Refutations,
however, it became clear that to fully understand mathematics, must
also involve an understanding of the mathematical activity itself,
as a process.
What is it that mathematicians do when they do mathematics? This conference
is aimed at bringing together all kinds of contributions relevant
to this question. They include both discussions about the large-scale
structure of mathematics (Are there revolutions in mathematics? Is
a Popperian, a Lakatosian or some other framework best suited? How
does the mathematical community fit into society?), and reflections
on the micro-practice of mathematics (What exactly turns a piece of
text into a proof? What role do analogies and metaphors play in mathematical
practice? What role does mathematical beauty play?).
It has been the aim of the organizers to search for a balance between,
on the one hand, theoretical considerations on these issues, and,
on the other hand, case studies of specific mathematical problems.
|| Jean Paul Van Bendegem, Gustaaf
C. Cornelis, Erik Weber, Erik Myin, Sonja Smets, Bart Van Kerkhove
|Scientific Committee /
Adler (University of the Witwatersrand, Johannesburg, SA)
Azzouni (Tufts University, Medford / Somerville, MA)
(School of Education, University of Exeter, UK) - did not participate
Eduard Glas (Technische
Universiteit Delft, NL)
Reuben Hersh (Prof. Emeritus,
The University of New Mexico)
Restivo (Rensselaer Polytechnic Institute, Troy, NY)
Thomas (University of Manitoba, CA; editor Philosophia
for the final schedule (in pdf-format).
Click here to download a zip-file containing
the abstracts of all papers presented (in MS-Word format).
|| Click here
for a list of all participants with their e-mail addresses (in MS-Excell
| Part of the proceedings of this conference is now available as a double issue of the quarterly Logique
et Analyse (vol.45, nos.179-180). Another part is due to appear in the autumn of 2006 in the series Logic, Epistemology and the Unity of Science edited by S. Rahman and J. Symons for the renowned academic publisher Springer.
| Plans to start a "Mathematical Practice"
mailing group, have been made concrete. We have opted for the ongoing virtual workshop format developed by VUB's Alex Riegler. To participate, go to https://www.vub.be/CLWF/mathprac/ and register. Further instructions for convenient use can also be found at this page.
|The organizers of PMP2002 have decided to organize a follow-up event at the same location. The dates are Monday 26 to Wednesday 28 March 2007. There now is a PMP2007 website including more details on the invited speakers and a call for contributions, which ends at 15 November 2006.
||Perspectives on Mathematical
c/o Centre for
Logic and Philosophy of Science (CLWF)
Brussels University (VUB)
Pleinlaan 2 - Room 5B425
B-1050 Brussels, Belgium