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CfP special issue of JICPR on "Pluralism in Mathematics", Deadline: 15 Jul 2016

Call for Papers

Special Issue of The Journal of Indian Council of Philosophical Research on 
"Pluralism in Mathematics"

Professors Mihir Kumar Chakraborty and Michele Friend are co-editing a special 
issue of the Journal of Indian Council of Philosophical Research (JICPR). This 
will be the first collection of edited papers on the subject of mathematical 
pluralism in the world.

"Mathematical pluralism" means many things. It is a family resemblance concept 
that includes at least:

(1)pluralism in methodology or procedure;

(2)pluralism in theories (individuated by sets of axioms and rules of 
inference);

(3)pluralism in underlying logic;

(4)pluralism in truth;

(5)pluralism in ontology; and

(6)pluralism in foundations.

"Pluralism" is an attitude. It means having a principled tolerance towards 
whatever it is one is pluralist about. The tolerance is principled, that is, it 
is not a kindness or a quietism. It is not a laissez-faire attitude that comes 
from giving up trying to find what is correct. Moreover, the tolerance can be 
principled in different ways. One is that the pluralist might think that he or 
she can learn more, and not be led too far astray, by seriously employing or 
entertaining several: methodologies, theories, types of theory etc. A second 
reason is that on present evidence there is no good enough reason to be monist 
about: methodology, theory, type of theory, foundations and so on. This is a 
sort of principled sceptical attitude. A third reason is that one observes 
pluralism in the successful practice of mathematics.

The above words apply for plurality in mathematics due to causes internal to 
modern mathematical practices. There are external reasons that also give rise 
to plurality . these stem from the society and culture in which mathematics is 
born. The traditions of Arabic, Chinese and Indian mathematics were different 
from the Greek. Besides, mathematical practices of various ethnic communities 
are diverse. This volume will track both kinds of plurality, internal as well 
as external and project pluralism in mathematics through representative 
articles.

We shall accept papers on these, or related, themes. If you are not sure that 
your topic falls within "mathematical pluralism", you may send in an abstract 
for evaluation of relevance to Michele@gwu.edu or mihirc4@gmail.com by 20 May 
Regardless of whether you have sent in an abstract, papers are due 15 July 
2016. Papers should be between 6,000 and 10,000 words. Please submit the paper 
online in both MSWord/Latex and PDF formats through the Editorial Manager 
System of JICPR, clearly mentioning that the paper is meant for the special 
issue on Pluralism in Mathematics. Instructions for online submission are 
available at the JICPR-Springer website 
(http://www.springer.com/philosophy/journal/40961/PSE). After being refereed 
and approved papers will be collated in JICPR, volume 33.3.

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