[FOM] "Proof, Truth, Computation" Summer School 20-25 July 2014 Chiemsee

[Peter Schuster]

Summer School "Proof, Truth, Computation" (PTC 2014)

20-25 July 2014, Chiemsee, Germany

Call for applications by young researchers. Deadline: 17 March 2014.

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This is to invite young researchers (PhD students and post-docs) to apply 
for the upcoming summer school

"Proof, Truth, Computation. Modern Foundations of Mathematics and Contemporary Philosophy".

Application by female scientists is particularly encouraged.

The event will take place from 21st to 25th July 2014 (arrival 20th July 
afternoon, departure 25th July after noon) in the Benedictine nunnery 
Frauenwoerth on the Fraueninsel in Chiemsee between Munich and Salzburg:

  http://www.frauenwoerth.de/english/

The Volkswagen Foundation will kindly sponsor this event:

  http://www.volkswagenstiftung.de/en/foundation.html

To get an idea of this summer school, especially of its interdisciplinary 
character, please see the material provided at end of this message. Junior 
participants will be particularly expected to contribute to the questions 
and answers sessions and to the round table discussions.

Important dates:

  Deadline for application: 17th March 2014
  Notification of acceptance: 24st March 2014
  Communication of precise air fare (if applicable): 31st March 2014

Applications are to be sent, in a single PDF document, by email, to

  ptc14 at math.lmu.de

PhD students need to send a CV of at most 2 pages, a brief letter of 
motivation and one letter of reference. Postdocs only need to send a CV of 
at most 2 pages. All applicants need to tell whether they also apply for 
funding and, if so, to which extent. Only a limited amount of funding is 
available. Applicants for funding are expected to stay for the whole week, 
and to tell the extent to which they can be funded by other sources.

If your application for funding is successful, then you will be offered 
reimbursement of the travel and lodging expenses that you cannot cover 
from other sources. This will require that you choose the cheapest travel 
option, and that you book your trip by 31st March 2014 in case of flights 
and by the earliest possible date in case of long-distance trains. We hope 
to be able to contribute partially to your subsistence expenses (meals).

Meals (breakfast, lunch and dinner - the latter two excluding drinks) for four 
and a half days will be EUR 180. PhD students and postdocs are expected to 
share double rooms, for EUR 125 each person for the whole week (5 nights).

Organising committee:

  Hannes Leitgeb <hannes.leitgeb at lmu.de>
  Iosif Petrakis <petrakis at math.lmu.de>
  Peter Schuster <pschust at maths.leeds.ac.uk>
  Helmut Schwichtenberg <schwicht at math.lmu.de>

Enquiries are to be directed to:

  ptc14 at math.lmu.de

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Main Topics

  Truth Theories
  Predicativity
  Constructivity
  Proof Theory
  Formal Epistemology
  Set-theoretic Truth

Further topics will include:

  Homotopy, Types and Univalence
  Program Extraction from Proofs
  Coalgebraic and Categorical Semantics
  Minimal Type Theory

Speakers and disputants (preliminary list)

  Tatiana Arrigoni
  Steve Awodey
  Marco Benini
  Ulrich Berger
  Andrea Cantini
  Thierry Coquand (to be confirmed)
  Laura Crosilla
  Branden Fitelson
  Sy Friedman (to be confirmed)
  Volker Halbach
  Hajime Ishihara
  Peter Koellner
  Hannes Leitgeb
  Maria Emilia Maietti
  David Makinson
  Yiannis Moschovakis
  Sara Negri
  Erik Palmgren
  Dirk Pattinson
  Dieter Probst
  Joan Rand-Moschovakis
  Michael Rathjen
  Giuseppe Rosolini (to be confirmed)
  Giovanni Sambin
  Monika Seisenberger
  Philip Welch
  Andreas Weiermann

Aims and Scope

Mathematical methods are about to shape some branches of contemporary 
philosophy just as they have formed most of the natural and many of the social 
sciences. The thread of the school we propose is to mirror this development, 
known as mathematical philosophy or formal epistemology; to highlight the 
challenges that arise from it; and to display its repercussions in mathematics. 
As for theoretical computer science, a quite comparable spin-off of 
mathematics, the principal counterpart within mathematics is mathematical 
logic.

Since many of the objects of study lie beyond the typical commitment of 
contemporary mathematics, it is decisive to include non-classical issues such 
as predicativity and constructivity. Proof theory does indeed play a pivotal 
role: as the area of mathematical logic that is closest to the understanding of 
logic as the science of formal languages and reasoning, it is predestined for 
interaction both with philosophical and computer science logic.

A hot topic that crosses over wide ranges of the school, and is most 
prominently represented within, is whether axiomatic theories of truth and of 
related notions, such as provability and knowledge, are possible at all in the 
stress field between syntax and semantics. Rational belief and rational choice, 
epistemic issues of principal philosophical relevance, are put under 
mathematical scrutiny by applying probabilism: that is, the thesis that a 
rational agent's degrees of belief should conform to the axioms of probability 
theory.

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