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78 November, 2011 Maximalist and Minimalist Perspectives on Infinity: A meeting on set theory and its philosophy Speakers:Tatiana Arrigoni (Fondazione Bruno Kessler, Trento & Kurt Gödel Centre, Vienna); Joan Bagaría (Universitat de Barcelona); Laura Crosilla (University of Leeds); Sy Friedman (Kurt Gödel Centre for Mathematical Logic, Vienna); Ignasi Jané (Universitat de Barcelona) Timetable and Abstracts 


It has been argued that set theoretic developments are guided
by two key methodological criteria: maximize and unify (Maddy 1997).
The first criterion in particular has been central to some of the most
successful developments of the last 50 years, namely those having to do
with large cardinal hypotheses. And it is certainly the case that ZFC
plays the role of a unifying framework in contemporary mathematics
(regardless of considerations of evidence and of obscurities which may
still be lurking behind its most basic principles). Yet there are
different sources of concern with the two maxims singled out by Maddy,
ranging from the need to supplement them with other criteria, to
– more interestingly – the possible ambiguities in
their practical application (i.e. the need to consider more specific
versions of each one of them, which might then orient research along
different directions). References:


