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DTSTART;TZID=Europe/London:20191212T100000
DTEND;TZID=Europe/London:20191212T120000
DTSTAMP:20200211T153414Z
CREATED:20200129T153328Z
LAST-MODIFIED:20200211T153414Z
UID:10000794-1576144800-1576152000@www.st-andrews.ac.uk
SUMMARY:Super Special Seminar Walter Dean (Warwick) On consistency and existence in mathematics
DESCRIPTION:Abstract:  Following the publication of his Foundations of Geometry in 1899\, David Hilbert engaged in a well-known debate with Frege which concerned (amongst other things) the question of whether the consistency of a set of axioms entails the existence of a model in which they are satisfied.   I will consider this dimension of the so-called Frege-Hilbert controversy in light of the subsequent work in logic and philosophy which it inspired.  I will argue for the following claims: i) the controversy both anticipated Gödel’s completeness theorem and shaped its reception (in which Bernays played a central role); ii) Frege was right to maintain that consistency checking is as difficult as it can be; ii) Hilbert was also right to maintain that given consistency\,  demonstrating the existence of a model is as easy as it can be.
URL:/philevents/event/super-special-seminar-walter-dean-warwick-on-consistency-and-existence-in-mathematics/
LOCATION:A virtual seminar by Zoom\, The University\, 58�Թ�\, KY16 9L\, United Kingdom
CATEGORIES:Super Special Seminar series
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DTSTART;TZID=Europe/London:20191212T120000
DTEND;TZID=Europe/London:20191212T133000
DTSTAMP:20200129T153329Z
CREATED:20200129T153329Z
LAST-MODIFIED:20200129T153329Z
UID:10000795-1576152000-1576157400@www.st-andrews.ac.uk
SUMMARY:Epistemology Seminar: Fleisher (2019). “Endorsement and Assertion” (Katharina Bernhard)
DESCRIPTION:
URL:/philevents/event/epistemology-seminar-fleisher-2019-endorsement-and-assertion-katharina-bernhard/
LOCATION:A virtual seminar by Zoom\, The University\, 58�Թ�\, KY16 9L\, United Kingdom
CATEGORIES:Epistemology Seminar
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