[FOM] CFA: Foundations of Mathematical Structuralism, Munich, Oct. 12-14, 2016

[John Wigglesworth]

CFA: Foundations of Mathematical Structuralism

12-14 October 2016, Munich Center for Mathematical Philosophy, LMU Munich

In the course of the last century, different general frameworks for the
foundations of mathematics have been investigated. The orthodox approach to
foundations interprets mathematics in the universe of sets. More recently,
however, there have been other developments that call into question the
whole method of set theory as a foundational discipline. Category-theoretic
methods that focus on structural relationships and structure-preserving
mappings between mathematical objects, rather than on the objects
themselves, have been in play since the early 1960s. But in the last few
years they have found clarification and expression through the development
of homotopy type theory. This represents a fascinating development in the
philosophy of mathematics,  where category-theoretic structural methods are
combined with type theory to produce a foundation that accounts for the
structural aspects of mathematical practice. We are now at a point where
the notion of mathematical structure can be elucidated more clearly and its
role in the foundations of mathematics can be explored more fruitfully.

The main objective of the conference is to reevaluate the different
perspectives on mathematical structuralism in the foundations of
mathematics and in mathematical practice. To do this, the conference will
explore the following research questions: Does mathematical structuralism
offer a philosophically viable foundation for modern mathematics? What role
do key notions such as structural abstraction, invariance, dependence, or
structural identity play in the different theories of structuralism? To
what degree does mathematical structuralism as a philosophical position
describe actual mathematical practice? Does category theory or homotopy
type theory provide a fully structural account for mathematics?



Confirmed Speakers:

Prof. Steve Awodey <https://www.andrew.cmu.edu/user/awodey/> (Carnegie
Mellon University)

Dr. Jessica Carter
<http://findresearcher.sdu.dk:8080/portal/da/person/jessica> (University of
Southern Denmark)

Prof. Gerhard Heinzmann
<http://poincare.univ-lorraine.fr/fr/membre-titulaire/gerhard-heinzmann>
(Université
de Lorraine)

Prof. Geoffrey Hellman
<http://philosophy.umn.edu/people/FacultyProfile.php?UID=hellm001> (University
of Minnesota)

Prof. James Ladyman
<http://www.bristol.ac.uk/school-of-arts/people/james-a-ladyman/> (University
of Bristol)

Prof. Elaine Landry <http://philosophy.ucdavis.edu/people/emlandry> (UC
Davis)

Prof. Hannes Leitgeb
<http://www.mcmp.philosophie.uni-muenchen.de/people/faculty/hannes_leitgeb/index.html>
(LMU
Munich)

Dr. Mary Leng
<https://www.york.ac.uk/natural-sciences/staff-profiles/mary-leng/> (University
of York)

Prof. Øystein Linnebo
<http://www.hf.uio.no/ifikk/english/people/aca/oysteinl/> (University of
Oslo)

Prof. Erich Reck <http://www.faculty.ucr.edu/~reck/> (UC Riverside)



Call for Abstracts:


We invite the submission of abstracts on topics related to mathematical
structuralism for presentation at the conference. Abstracts should include
a title, a brief abstract (up to 100 words), and a full abstract (up to
1000 words), blinded for peer review. Authors should send their abstracts
(in pdf format), together with their name, institutional affiliation and
current position to mathematicalstructuralism2016 at lrz.uni-muenchen.de. We
will select up to five submissions for presentation at the conference. The
conference language is *English*.



Dates and Deadlines:

Submission deadline: *30 June, 2016*

Notification of acceptance: *31 July, 2016*

Registration deadline: *1 October, 2016*

Conference: *12 - 14 October, 2016*

For further details on the conference, please visit:
http://www.mathematicalstructuralism2016.philosophie.uni-muenchen.de/index.html


Organizers:

Georg Schiemer (MCMP & University of Vienna), John Wigglesworth (MCMP)
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