Propositional dynamic logic (PDL) is a framework for reasoning about nondeterministic program executions (or, more generally, nondeterministic actions). In this setting, nondeterminism is taken as a primitive: a program is nondeterministic iff it has multiple possible outcomes. But what is the sense of “possibility” at play here? This talk explores an epistemic interpretation: working in an enriched logical setting, we represent nondeterminism as a relationship between a program and an agent deriving from the agent’s (in)ability to adequately measure the dynamics of the program execution. More precisely, using topology to capture the observational powers of an agent, we define the nondeterministic outcomes of a given program execution to be those outcomes that the agent is unable to rule out in advance. In this framework, determinism coincides exactly with continuity: that is, determinism is continuity in the observation topology. This allows us to embed PDL into (dynamic) topological (subset space) logic, laying the groundwork for a deeper investigation into the epistemology (and topology) of nondeterminism.
The seminar is concerned with applying formal methods to fundamental issues, with an emphasis on probabilistic reasoning, decision theory and games. In this context “logic” is broadly interpreted as covering applications that involve formal representations. The topics of interest have been researched within a very broad spectrum of different disciplines, including philosophy (logic and epistemology), statistics, economics, and computer science. The seminar is intended to bring together scholars from different fields of research so as to illuminate problems of common interest from different perspectives. Throughout each academic year, meetings are regularly presented by the members of the seminar and distinguished guest speakers.
details tba
02/08/2019 Faculty House, Columbia University
4:00 PM
03/29/2019 Faculty House, Columbia University
4:00 PM
04/19/2018 Faculty House, Columbia University
4:00 PM
PoPRocks (formerly known as ‘WoPoP’) is an ongoing series in the NYC area for early career researchers – typically grad students, postdocs, people who got their PhD within the last few years, advanced undergrads etc. – working on philosophy of psychology/mind/perception/cognitive science/neuroscience/… . We usually meet roughly once every 2-3 weeks to informally discuss a draft paper by one of our members. Typically presenters send a copy of their paper around 1 week in advance, so do join the mailing list (by emailing poprocksworkshop@gmail.com or one of the organizers) or email to ask for a copy of the paper. We aim for a friendly, constructive discussion with the understanding that the drafts discussed are typically work in progress.
Presenters Spring 2019
All presentations will be on Thursdays at 7-9pm in 302 Philosophy Hall, Columbia University (Morningside Heights Campus).
February 28th – Kate Pendoley (CUNY)
March 14th – Amogh Sahu (Columbia)
April 18th – Nemira Gasiunas (Columbia)
If anyone else would like to present on other Thursdays, get in touch.
Convergence to the truth is viewed with some ambivalence in philosophy of science. On the one hand, methods of inquiry that lead to the truth in the limit are prized as marks of scientific rationality. But an agent who, by using some method, expects to always converge to the truth seems to fail a minimum standard of epistemic modesty. This point was recently brought home by Gordon Belot in his critique of Bayesian epistemology. In this paper I will study convergence to the truth theorems within the framework of Edward Nelson’s radically elementary probability theory. This theory provides an enriched conceptual framework for investigating convergence and gives rise to an appropriately modest from of Bayesianism.
The seminar is concerned with applying formal methods to fundamental issues, with an emphasis on probabilistic reasoning, decision theory and games. In this context “logic” is broadly interpreted as covering applications that involve formal representations. The topics of interest have been researched within a very broad spectrum of different disciplines, including philosophy (logic and epistemology), statistics, economics, and computer science. The seminar is intended to bring together scholars from different fields of research so as to illuminate problems of common interest from different perspectives. Throughout each academic year, meetings are regularly presented by the members of the seminar and distinguished guest speakers.
details tba
02/08/2019 Faculty House, Columbia University
4:00 PM
03/22/2019 Faculty House, Columbia University
4:00 PM
04/19/2018 Faculty House, Columbia University
4:00 PM
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond
July 5 — Becky Keller – note Friday meeting because of “some kind of American holiday”July 11 — Alex Kiefer – room will be Philosophy 201B (downstairs to the right)July 18 — Kathryn PendoleyJuly 25 — Andrew LeeAug 1 — Simon BrownAug 8 — tbdAug 12ish— Henry ShevlinAug 22 — Andrew Richmond