New frontiers of infinity: mathematical, philosophical, and computational prospects


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Title New frontiers of infinity: mathematical, philosophical, and computational prospects
Period 03 / 2009 - 03 / 2014
Status Current
Research number OND1334747
Data Supplier Projectleider


The main general objectives are (i) to create an interdisciplinary forum for sharing knowledge and expertise, and stimulating the exchange of ideas among researchers working on mathematical, philosophical, and computational aspects of infinity, and (ii) to coordinate the work of different groups from different areas and countries, and training of young researchers, with special attention to women and researchers from economically less-developed countries, in an integrated European multidisciplinary environment with infinity as the common theme. The INFTY Research Networking Programme offers a unique opportunity to go beyond a mere forum for specialists. It can nucleate an efficient network that encompasses and integrates the various areas of research involving infinity in Europe. The programme envisages to: 1. Facilitate, integrate and disseminate the work carried out by the set-theoretic communities in different countries of Europe. 2. Stimulate the interdisciplinarity, by promoting the coordination and exchange of views between leading groups in different areas and disseminating their shared visions of the new frontiers to the whole community. 3. Promote the fast transmission of new concepts and techniques from the research frontiers to the basic training level. The expected benefits from the scientific programme include (i) a better understanding, and possible solution, of some fundamental problems about infinite sets through cross-fertilization of different approaches, mainly mathematical and computational, together with a philosophical analysis of the ideas involved, (ii) development of new techniques originated in set theory to deal with infinite entities to other areas of mathematics and science, (iii) identification of new application areas of set theory and the new technical and conceptual advances required, (iv) consolidation of INFTY as the common meeting ground for research on infinity in Europe, and (v) enhancing the visibility and attractiveness of European set theory for scientists and students in third countries.

The steering committee is formed by: Joan Bagaria (Spain), Mirna Dzamonja (United Kingdom), Jouko Väänänen (Finland), Sy David Friedman (Austria), Peter Koepke (Germany), Benedikt Löwe (Netherlands), Erik Palmgren (Sweden), Grzegorz Plebanek (Poland), Peter Simon (Czech Republic), Andreas Weiermann (Belgium).

Research Programme: Inftynet is part of two ESF Research Networking Programmes: *Physical and Engineering Sciences (PESC) *Humanities (SCH)

Related organisations

Other involved organisations

Universitat de Barcelona, Department of Logic, History and Philosophy of Science (prof.dr. J. Bagaria, dr. M. Dzamonja)
European Science Foundation
Austria: Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
Belgium: Fonds voor Wetenschappelijk Onderzoek - Vlaanderen (FWO)
Czech Republic: Akademie v?d ?eské republiky (ASCR); Grantová agentura ?eské republiky (GA?R)
Finland: Academy of Finland
Germany: Deutsche Forschungsgemeinschaft (DFG)
Poland: Polska Akademia Nauk (PAN)
Spain: Ministerio de Educación y Ciencia (MEC)
Sweden: Vetenskapsrådet (VR)
United Kingdom: Engineering and Physical Sciences Research Council (EPSRC)

Related people

Researcher J. Bagaria
Researcher M. Dzamonja
Project leader Prof.dr. B. Löwe
Project leader Prof.dr. J.A. Väänänen

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