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
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
Thursday, September 29th, 2022
Christina Van Dyke (Barnard College)
Title “I feel it in my fingers, I feel it in my toes: Imaginative Meditation and Experience of Love in Medieval Contemplative Philosophy”
4:10-6:00 PM
716 Philosophy Hall
The pandemic compels us to ask fundamental questions about our place in the world: the many ways humans rely on one another, how we vitally and sometimes fatally breathe the same air, share the surfaces of the earth, and exist in proximity to other porous creatures in order to live in a social world. What we require to live can also imperil our lives. How do we think from, and about, this common bind?
In What World Is This? A Pandemic Phenomenology, Judith Butler shows how COVID-19 and all its consequences—political, social, ecological, economic—have challenged us to reconsider the sense of the world that such disasters bring about. Drawing on the work of Max Scheler, Maurice Merleau-Ponty, and critical feminist phenomenology, Butler illuminates the conditions in which we seek to make sense of our disorientation, precarity, and social bonds. What World Is This? offers a new account of interdependency in which touching and breathing, capacities that amid a viral outbreak can threaten life itself, challenge the boundaries of the body and selfhood. Criticizing notions of unlimited personal liberty and the killing forces of racism, sexism, and classism, this book suggests that the pandemic illuminates the potential of shared vulnerabilities as well as the injustice of pervasive inequalities.
Exposing and opposing forms of injustice that deny the essential interrelationship of living creatures, Butler argues for a radical social equality and advocates modes of resistance that seek to establish new conditions of livability and a new sense of a shared world.
Speaker
Judith Butler is a Distinguished Professor in the Graduate School at the University of California, Berkeley. They are the author of several books, most recently The Force of Nonviolence: An Ethico-Political Bind (2020). Butler’s previous Columbia University Press books include Parting Ways: Jewishness and the Critique of Zionism (2012), Antigone’s Claim: Kinship Between Life and Death (2000), and Subjects of Desire: Hegelian Reflections in Twentieth-Century France (1987).
Respondents
Mia Florin-Sefton is a Ph.D. candidate and University Writing Instructor in the English & Comparative Literature Department at Columbia University, where she specializes in 20th and 21st-century transatlantic anglophone literatures and culture. She is also working on a project that looks at the history of sex glands and early history of hormone replacement therapy in the context of theories of racial degeneration and eugenics post-World War I.
Professor Goyal is an Assistant Professor of Emergency Medicine at the Columbia University Medical Center and founding director of the major in Medical Humanities. Professor Goyal completed his residency in Emergency Medicine as Chief Resident while finishing his PhD in English and Comparative Literature. His research interests include the health humanities, the study of the novel, and medical epistemology. His writing has appeared in The Living Handbook of Narratology, Aktuel Forskning, Litteratur, Kultur og Medier, and The Los Angeles Review of Books, among other places. He is a Co-Founding Editor of the online journal, Synapsis: A Health Humanities Journal
Marianne Hirsch is the William Peterfield Trent Professor Emerita of English and Comparative Literature at Columbia University and Professor in the Institute for the Study of Sexuality and Gender. She is a member of the American Academy of Arts and Sciences and a former President of the Modern Language Association of America. Along with a group of local scholars, artists and activists, Hirsch is currently co-directing the Zip Code Memory Project, an initiative that seeks to find art and community-based ways to repair the devastating losses resulting from the Coronavirus pandemic while also acknowledging its radically differential effects on Upper New York City neighborhoods.
How do we experience space? And what does this mean for the spaces we design? We explore these questions by bringing together speakers from Architecture, Neuroscience, and Virtual Reality, with two specific aims: First, we explore what Architecture and Virtual Reality can learn from each other, as two distinct approaches to “spatial design”. Whilst spatial experience has long been a central question of Architecture, Virtual Reality is only beginning to grapple with these questions, as technology transitions from 2D screens to 3D spatial interfaces. Second, we explore the nature of spatial experience itself, with two approaches to understanding the human mind. Whilst contemporary Architecture is influenced by Philosophy (specifically the “Phenomenological” tradition), the tools of Neuroscience are increasingly being applied to questions of Architecture as well. Through this multidisciplinary exchange we hope to deepen our understanding of spatial experience, and how it informs the physical and virtual spaces we design.
Event Speakers
- Nitzan Bartov, Designer at Meta Reality Labs Research
- Anjan Chatterjee, Professor of Neurology, Psychology, and Architecture at the University of Pennsylvania
- Steven Holl, Professor of Architecture, Planning, and Preservation at Columbia University
- Moderated by Paul Linton, Presidential Scholar in Society and Neuroscience and Fellow of the Italian Academy for Advanced Studies in America at Columbia University
Event Information
Free and open to the public. Registration is required via Eventbrite. Online attendees will receive a Zoom link from Eventbrite. Please email presidentialscholars@columbia.edu with any questions.
This event is hosted by the Presidential Scholars in Society and Neuroscience as part of the Seminars in Society and Neuroscience series. Co-sponsored by the Italian Academy for Advanced Studies in America and the Zuckerman Institute at Columbia University.
The Center for Science and Society makes every reasonable effort to accommodate individuals with disabilities. If you require disability accommodations to attend a Center for Science and Society event, please contact us at scienceandsociety@columbia.edu or (212) 854-0666 at least 10 days in advance of the event. For more information, please visit the campus accessibility webpage.
Samantha Matherne has written the first recent book in English on the philosophy of Cassirer, covering the full range of his thought. Her research also explores the reciprocal relationship between perception and aesthetics. She approaches these issues largely through a historical lens, as they are taken up by Kant and developed in Post-Kantian traditions in the 19th and 20th centuries, especially Phenomenology and Neo-Kantianism.