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Notice

AISB event Bulletin Item

CALL FOR PARTICIPATION: 2nd Workshop on the Limits and Scope of Mathematical Knowledge, 30-31 Mar 2013, Bristol, U.K.

https://www.bris.ac.uk/philosophy/department/events/mathematicalknowledge2

Second Workshop on the Limits and Scope of  Mathematical Knowledge,
University of Bristol.
Saturday 30 - Sunday 31st March 2013
Conference Description

Papers on the status of mathematical knowledge generally have been
solicited.

One particular theme of the First Workshop ran as follows: in 1951, Gdel
argued convincingly fora disjunctive thesis: either the human mathematical
mind exceeds the output of a Turing machine, or there exist absolutely
undecidable mathematical propositions. Since then, attempts have been made
to decide one or both of the disjuncts, but no decisive progress has been
made so far. For instance, Lucas? arguments for the first disjunct are
widely regarded as unconvincing. At the same time, formal frameworks have
in the decades following Gdel?s publication been developed which could be
fruitfully applied to this question: epistemic arithmetic (Shapiro *et al.*),
progressions of formal theories (Feferman, Beklemishev, *et al.*), the
logic of proofs (Artemov), ...

Thus one research question of the conference was whether some of these
formal frameworks (or combinations of these frameworks) can be used to
obtain arguments for statements that are stronger than Gdel?s disjunctive
thesis.

However the Conference is not limited to this topic.

(Details of the First Workshop can be found here:
  

https://www.bris.ac.uk/philosophy/department/events/mathematicalknowledge )

Your attendance is warmly invited.

Philip Welch,  School of Mathematics, University of Bristol


Confirmed Speakers:

Dora Achourioti (Amsterdam)
Tim Carlson  (Ohio State)
Yuri Gurevich (Microsoft)
Peter Koellner (Harvard)
Graham Leach-Krouse (Notre Dame)
Hannes Leitgeb (LMH Munich)
Yiannis Moschovakis (UCLA)
Joan Rand-Moschovakis (UCLA)
Albert Visser (Utrecht)
W. Hugh Woodin (Berkeley)

Please see:
https://www.bris.ac.uk/philosophy/department/events/mathematicalknowledge2
for further details. Attendance is free, but registration for numbers is
required. Please contact Sam Pollock (sp8777@bristol.ac.uk) with your
affiliation (if any) and email address.