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.
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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
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
Conference Schedule
10AM Teddy Seidenfeld – Conditional Probability, Conditionalization, and Total Evidence
11AM Eleonora Cresto – Beyond Indeterminate Utilities. The Case of Neurotic Cake-Cutting
11:20AM Ignacio Ojea Quintana – Unawareness and Levi’s Consensus as Common Ground
11:40AM Rush Stewart – Uncertainty, Equality, Fraternity
1PM Nils-Eric Sahlin – Levi’s Decision Theory: Lessons Learned
1:45PM Wilfried Sieg – Scientific Theories as Set-Theoretic Predicates?
2:45PM Panel Discussion – Learning from Levi
Abstracts available in attached documents under “Supporting material.”
Memorial
A memorial service will be held at 5PM at St. Paul’s Chapel on the Columbia campus. Reception to follow on the 7th floor of Philosophy Hall.
Luca Corti (University of Padua) – March 6
Amy Allen (Penn State) – March 27
Andreja Novakovic (UC Berkeley) – April 3
Alberto Siani (University of Pisa) – May 8
Luca Corti (University of Padua) – March 6
Amy Allen (Penn State) – March 27
Andreja Novakovic (UC Berkeley) – April 3
Alberto Siani (University of Pisa) – May 8
What can science teach us about how we perceive and understand art? How can art help us understand ourselves and each other? In this event, the Zuckerman Institute explores the interactions between our brains and the artistic world, finding connections and parallels between art and science.
Event Speakers
Please visit the event webpage to view the speaker list.
Event Information
Free and open to the public, registration is required by January 28, 2022. This event will also be live-streamed. Please email zuckermaninstitute@columbia.edu with any questions.
This talk is part of the Stavros Niarchos Foundation Brain Insight Lecture series hosted by Columbia’s Mortimer B. Zuckerman Mind Brain Behavior Institute and supported by the Stavros Niarchos Foundation.
Presented by NY German Idealism Workshop
With response from Karen Ng (Vanderbilt)
Presented by NY German Idealism Workshop