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Methodological Approaches in the study of recent mathematics

17-21 Sep 2018
Konstanz, Germany

1st Call for Papers

Methodological Approaches in the Study of Recent Mathematics: Mathematical 
Philosophy and Mathematical Practice

September 17-21, 2018, Zukunftskolleg, University of Konstanz, Germany

1st instalment of the Forcing Project Networking Conferences (FPNC) series

Website: http://network2018.forcing-project.com 
<http://network2018.forcing-project.com/>

Organization: Carolin Antos, Daniel Kuby (University of Konstanz)

Invited Speakers

Neil Barton (University of Vienna)
José Ferreirós (University of Seville)
Victoria Gitman (CUNY)
Joel David Hamkins (CUNY)
Deborah Kant (HU Berlin)
Benedikt Löwe (University of Amsterdam/University of Hamburg)
Roy Wagner (ETH Zurich)

Call for Papers

The project ?Forcing: Conceptual Change in the Foundations of Mathematics 
<https://forcing-project.com/>? (2018-2023) aims to analyse, from a 
historical and philosophical point of view, the development of modern set 
theory since the introduction of the forcing technique. It brings together 
methods and research questions from different research areas in the 
history and philosophy of mathematics to investigate if and how the 
extensive use of the forcing method brought about a conceptual change in 
set theory; and in which ways this may influence the philosophy of set 
theory and, finally, the foundations of mathematics.

Over the next years, the research group will organise a series of 
Networking Conferences with the goal of reaching out to researchers from 
these different areas. The first Forcing Project Networking Conference 
(FPNC2018) is devoted to methodological approaches in the study of recent 
mathematics and focuses on the topics of mathematical philosophy and 
mathematical practice:

1. Mathematical philosophy uses mathematical tools to analyze 
philosophical questions. In the philosophy of set theory, this approach 
comes naturally as the research object provides the mathematical methods 
with which it is examined. This includes a particularly interesting form 
of close interplay between mathematics and philosophy, namely, how 
philosophical questions can lead to new mathematical research.

2. Recent research programs in the philosophy of set theory use 
set-theoretic practice in many contexts, from arguing for or against an 
ontological position to justifying methodological choices. Yet, in most 
cases, the term itself remains un-analyzed and "practice", as a form of 
evidence, deficitary. This can be remedied by using insights and methods 
from the philosophy of mathematical practice, ranging from historical data 
sets to questionnaires and statistical analysis of online resources.

Topics

We welcome contributions which

a) discuss crucial methodological issues arising from the use of 
mathematical tools in the philosophy of mathematics;

b) discuss crucial methodological issues in the study of recent 
mathematical practice;

c) present interesting results and methodological lessons from actual 
research on contemporary mathematical practices;

d) take on the relationship between different methodological approaches to 
the study of recent mathematics, in particular the relationship between 
mathematical philosophy and mathematical practice;

and, more specifically,

e) discuss the viability of the notion of "conceptual change" and 
"revolution" in the development of mathematics, in particular from the 
perspective of mathematical practice;

f) discuss how to track changes in the development of mathematical 
knowledge and methods through the analysis of mathematical practices.

Contributions do not have to tackle the forcing technique or set theory 
necessarily. Rather, the goal of the conference is to share insights from 
the study of mathematical practices more generally, which eventually could 
become fruitful for the study of the development of the forcing technique.

Submissions

Abstracts of 300-500 words should be submitted in PDF or Word format no 
later than May 31st, 2018, via email to <submissions@forcing-project.com 
<mailto:submissions@forcing-project.com?subject=Submission%20FPNC2018>>. 
Notification of acceptance will be issued by June 18th, 2018.

Financial support

Partial financial support will be available for contributing speakers.

Conference registration

The conference is free (no conference fee) and everyone is welcome to 
attend. For logistical reasons, please register by sending an email to 
<registration@forcing-project.com 
<mailto:registration@forcing-project.com?subject=Registration%20FPNC2018>> 
before August 15th, 2018.

Dates

May 31, 2018: Deadline for submissions to CfP
June 15, 2018: Notification of acceptance
August 15, 2018: Conference registration deadline
September 17-21, 2018: Conference
Contact

For inquiries please send an email to Daniel Kuby 
<fpnc2018@forcing-project.com 
<mailto:fpnc2018@forcing-project.com?subject=Information%20regarding%20FPNC2018>>.
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