• ICPR


A research community that could be described with the phrase Practice and Cultures of Mathematics has studied mathematics as a human subject with different practices and cultures in recent years. This research has been closely linked to the Philosophy of Mathematical Practice community and its Association for the Philosophy of Mathematical Practice, but is broader in the sense that it is interested in the study of mathematical practices and cultures independently of whether there is an interaction with traditional philosophical questions (such as epistemology or ontology).

In addition to many other meetings associated to the research community, there has been a series of meetings dealing specifically with the phenomenon of diversity of research cultures in mathematics: the traditional view claims that all of the differences between mathematical research cultures are superficial and do not touch the nature of mathematics; it is the goal of this research community to evaluate that claim by studying concrete examples. Here, culture should be understoosd very widely, and cultural differences can be found distinguishing mathematical subdisciplines, national cultures, cultures imposed by university or institute structures, etc.

Previous meetings of this series include Mathematics as Culture and Practice in Bielefeld, Germany (May 2010), Mathematics as Culture and Practice II in Greifswald, Germany (December 2011), and Cultures of Mathematics and Logic in Guangzhou, China (November 2012). The upcoming meeting in New Delhi is the fourth meeting in this series. Closely related to these conferences was the research network Mathematical Cultures funded by the Arts and Humanities Research Council with three workshops held in London (September 2012, September 2013, and April 2014).

The meeting will focus on case studies from mathematical research that highlight cultural differences, methodological discussions of the use of empirical data from the study of mathematical practice for gaining insight in the phenomenon of mathematics, and fundamental questions about mathematics that require a view towards mathematics as a human discipline to be discussed. The Programme Committee will issue a Call for Papers in the fall of 2014 and welcomes submissions from researchers of mathematical practice from the entire world.

The meeting is generously supported by the Indian Council for Philosophical Research (ICPR), the International Association for Science and Cultural Diversity (IASCUD), and the Indo-European Research Training Network in Logic (IERTNiL).

Programme Committee. Mihir Chakraborty (Calcutta, India), Karine Chemla (Paris, France), Benedikt Löwe (Amsterdam, The Netherlands & Hamburg, Germany), Thomas Müller (Konstanz, Germany), Jean Paul Van Bendegem (Brussels, Belgium), Bart Van Kerkhove (Brussels, Belgium).

 


Schedule.

Sunday
22 March 2015

Monday
23 March 2015

Tuesday
24 March 2015

Wednesday
25 March 2015

9:30-10:30

Danielle Macbeth
Haverford College, U.S.A.:
Mathematical Meaning in Mathematics Pedagogy

Albrecht Heeffer
Universiteit Gent, Belgium:
Scholarly and sub-scientific mathematical cultures: a reassessment

Karen François
Vrije Universiteit Brussel, Belgium:
Socially pushing mathematics into the objective A lecture on Husserl's Origin of Geometry

10:30-10:45

COFFEE BREAK

10:45-11:45

Norma B. Goethe / Gustavo Morales
National University of Cordoba & CONICET, Argentina:
Guiding ideas, cognition and working tools against the background of a variety of mathematical cultures

Nikhil Maddirala
Deloitte, India:
Cultures of logic: an empirical investigation into the aims, goals and values of a scientific discipline

Emil Simeonov
Fachhochschule Technikum Wien, Austria:
Living Mathematics—some limits for abstraction in mathematics and their relation to experience

11:45-12:00

COFFEE BREAK

12:00-13:00

Brendan Larvor
University of Hertfordshire, England:
What does it mean to study mathematical practice?

Keith Weber
Rutgers University, U.S.A.:
Proof as a cluster concept

Discussion about the future of the "Cultures of Mathematics" series

13:00-14:15

LUNCH BREAK

14:15-15:15

Welcome & Opening of the Conference

Madeline Muntersbjorn
University of Toledo, U.S.A.:
Algebra, Accreditation, & the American Academy

Sunita Vatuk
City University of New York, U.S.A.:
Mathematical Thinking among Experts in Kolam

15:15-15:30

COFFEE BREAK

15:30-16:30

Kenji Ito
Graduate University for Advanced Studies, Japan:
Mathematical Physics and Cultural Practices in Japan: The Question of Cultural Explanations

Krishnamurthi Ramasubramanian
Indian Institute of Technology Bombay, India:
Mathematics in Metrical form: Its pros and cons

Santanu Chacraverti / Mihir Chakraborty
Society for Direct Initiative for Social and Health Action, India / Calcutta University, India:
Śubhańkarī: Exploring some features of a popular mathematical culture in pre-colonial Bengal

16:30-16:40

COFFEE BREAK

16:40-17:40

Isabel Cafezeiro / Ricardo Kubrusly
Universidade Federal Fluminense, Brazil / Universidade Federal do Rio de Janeiro, Brazil:
Paulo Freire and mathematics.

Karen François / Eric Vandendriessche
Vrije Universiteit Brussel, Belgium / Université Paris Diderot, France:
Reassembling mathematical practices. A philosophico-anthropological approach

Fenner Tanswell
University of St Andrews, Scotland:
Proof in Mathematics and the Open Texture of Mathematical Concepts

17:40-17:50

COFFEE BREAK

17:50-18:50

Matthew Inglis
Loughborough University, England:
The Heterogeneity of Mathematical Practice

Smita Sirker
Jadavpur University, India:
Why Look Beyond The Given Information?: The Effect of Evidentiality

Alison Pease
University of Dundee, Scotland:
An empirical investigation into explanation in mathematical conversations