{"id":3453,"date":"2018-01-27T09:07:26","date_gmt":"2018-01-27T08:07:26","guid":{"rendered":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/?p=3453"},"modified":"2018-01-27T09:07:26","modified_gmt":"2018-01-27T08:07:26","slug":"lira-session-dominik-klein-2","status":"publish","type":"post","link":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/2018\/01\/lira-session-dominik-klein-2\/","title":{"rendered":"LIRa Session: Dominik Klein"},"content":{"rendered":"<p>Speaker: <a href=\"http:\/\/www.philosophie1.uni-bayreuth.de\/en\/team\/klein\/index.php\">Dominik Klein<\/a>\u00a0(University of Bayreuth)<\/p>\n<p>Date and Time: Thursday, February&nbsp;22nd 2018, 16:00-17:30<\/p>\n<p>Venue: KdVI Seminar Room F3.20, Science Park 107.<\/p>\n<p>Title: <strong>In the Long Run we\u2019re all Dead: On Kripke Models, Iterated Updates and Dynamic Systems<\/strong>.<\/p>\n<p><em>Abstract<\/em>. In this talk, we explore the universe of iterated product updates. The talk has two main components. In the first part, we show how iterated product updates\u00a0 can be understood as a dynamic system.\u00a0 In particular, we equip the space of Kripke models with a metric and prove the resulting topology compact. We then show that product updates are continuous with respect to this metric, allowing to understand iterated updates as a discrete time dynamical systems.<br \/>\nIn the second part of the talk, we apply this apparatus to the case of iterated updates with one and the same event model. There, we expand on a result by Sadzik (2006) that answered a hypothesis by Johan van Benthem to the negative. Sadzik showed that there are pairs of a Kripke Model M and an event model E, such that the process of repeatedly updating M with E\u00a0 never stabilizes nor becomes cyclic. Using our metric based apparatus, we show that Sadzik\u2019s example does, however, stabilize in the infinite, i.e. that the sequence converges to a unique limit point. In fact, we determine a set of conditions on E, the event model, under which iterated update converges in the limit. Finally, we show that Sadzik\u2019s result has an infinite counterpart: There are event models E that, when iteratedly applied to a suitable Kripke model M, display nontrivial limit behavior. They do not converge to a single point nor a limit cycle in the infinite. This is joint work with Rasmus Rendsvig.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Dominik Klein\u00a0(University of Bayreuth)<br \/>\nDate and Time: Thursday, February&nbsp;22nd 2018, 16:00-17:30<br \/>\nVenue: KdVI Seminar Room F3.20, Science Park 107.<br \/>\nTitle: In the Long Run we\u2019re all Dead: On Kripke Models, Iterated Updates and Dynamic Systems.<br \/>\nAbstract. In this talk, we explore the universe of iterated product updates. The talk has two main components. In the first part, we [&#8230;]<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-3453","post","type-post","status-publish","format-standard","hentry","category-events"],"_links":{"self":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/3453","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/comments?post=3453"}],"version-history":[{"count":2,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/3453\/revisions"}],"predecessor-version":[{"id":3456,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/3453\/revisions\/3456"}],"wp:attachment":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/media?parent=3453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/categories?post=3453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/tags?post=3453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}