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Association for Symbolic Logic

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Association for Symbolic Logic
NameAssociation for Symbolic Logic
Founded1936
HeadquartersNorth America
TypeLearned society
FieldsMathematical logic, Philosophical logic, Computability theory

Association for Symbolic Logic is an international learned society devoted to the study and advancement of mathematical logic, philosophical logic, and related areas of mathematics and philosophy. It connects researchers associated with Princeton University, Harvard University, University of Oxford, University of Cambridge, and University of California, Berkeley as well as institutions such as Institute for Advanced Study, Massachusetts Institute of Technology, University of Chicago, and Stanford University. The Association fosters communication across communities represented by scholars linked to Kurt Gödel, Alonzo Church, Alan Turing, Bertrand Russell, and David Hilbert through publications, conferences, and prizes.

History

The Association was founded in 1936 amid intellectual currents shaped by figures like Emil Post, Ludwig Wittgenstein, Norbert Wiener, John von Neumann, and Hermann Weyl. Early developments involved collaborations among scholars from Princeton University, University of Göttingen, University of Cambridge, University of Vienna, and the Institute for Advanced Study. The mid-20th century period saw influential work by members associated with Kurt Gödel at Institute for Advanced Study, Alonzo Church at Princeton University, Alan Turing at University of Manchester, and Alfred Tarski at University of California, Berkeley. Later decades featured interactions with researchers at University of California, Los Angeles, University of Toronto, University of Notre Dame, Carnegie Mellon University, and University of Pittsburgh.

Organization and Governance

Governance follows traditions similar to societies at American Mathematical Society, London Mathematical Society, European Mathematical Society, and Royal Society. The Association elects officers and a council with members drawn from institutions like Yale University, Columbia University, Duke University, Brown University, Cornell University, New York University, Rutgers University, and University of Michigan. Committees include editorial boards connected to journals with contributors from University of Illinois at Urbana–Champaign, University of Pennsylvania, University of Washington, University of California, Santa Cruz, and University of Texas at Austin. Honorary presidents and speakers often have affiliations linked to Princeton University, Harvard University, University of Oxford, ETH Zurich, and University of Paris.

Publications and Journals

The Association publishes flagship journals and monograph series comparable to titles from Cambridge University Press, Springer, Elsevier, and Oxford University Press. Prominent journals include periodicals featuring work related to Kurt Gödel, Alonzo Church, Alan Turing, Alfred Tarski, and Dana Scott and draw authors from Henkin, Shoenfield, Smullyan, Feferman, and Sacks. The publications disseminate research similar in scope to articles appearing in Journal of Symbolic Logic, Bulletin of Symbolic Logic, and associated proceedings connected with conferences at Université Paris-Saclay, University of Amsterdam, Università di Bologna, and Humboldt University of Berlin.

Meetings and Conferences

Annual meetings and specialized workshops mirror gatherings hosted by International Congress of Mathematicians, Logic Colloquium, European Set Theory Conference, North American set theory workshop, and regional symposia at Banff International Research Station, Mathematical Research Institute of Oberwolfach, Isaac Newton Institute, Mathematical Sciences Research Institute, and Fields Institute. Conferences attract speakers with ties to Princeton University, Harvard University, University of Oxford, ETH Zurich, Scuola Normale Superiore, and Universidad Nacional Autónoma de México. Sessions often highlight themes explored by researchers affiliated with Gödel Prize-level work, incorporating topics related to computability theory and historical figures such as Hilbert, Cantor, Leibniz, and Peano.

Awards and Prizes

The Association administers awards and prizes recognizing achievements analogous to honors like the Gödel Prize, Tarski Lectureship, Leibniz Prize, and fellowships from National Science Foundation and Simons Foundation. Recipients often include scholars connected to Harvard University, Princeton University, University of California, Berkeley, University of Chicago, MIT, Stanford University, University of Oxford, and Cambridge University. Prize lectures and medal ceremonies are held during meetings at venues including Mathematical Research Institute of Oberwolfach, Institut Henri Poincaré, and Royal Society lecture halls.

Membership and Sections

Membership comprises researchers and students affiliated with universities and institutes such as Princeton University, Harvard University, MIT, University of California, Berkeley, Oxford, Cambridge, ETH Zurich, Université Paris-Sud, University of Toronto, McGill University, University of Sydney, and University of Tokyo. The Association supports regional sections and special interest groups that liaise with organizations like American Mathematical Society, Philosophy of Science Association, European Mathematical Society, and national academies including National Academy of Sciences and Royal Society of Canada.

Outreach and Impact on Logic and Mathematics

Outreach initiatives intersect with programs at Institute for Advanced Study, Mathematical Sciences Research Institute, Fields Institute, Banff International Research Station, and educational efforts linked to Society for Industrial and Applied Mathematics, American Philosophical Association, and Association for Computing Machinery. The Association’s influence appears in curricula at institutions such as Princeton University, Harvard University, University of Oxford, University of Cambridge, Columbia University, Stanford University, ETH Zurich, and University of California, Berkeley, and in research collaborations with centers like CERN, Perimeter Institute for Theoretical Physics, Los Alamos National Laboratory, and Microsoft Research. The community includes scholars connected to historical figures Gödel, Turing, Church, Tarski, Hilbert, Cantor, Leibniz, Peano, Frege, Russell, Wittgenstein, Brouwer, Kleene, and Post.

Category:Mathematical societies