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
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.
Jacob Soll, in conversation with Pierre Force, John Shovlin, Carl Wennerlind, and Emmanuelle Saada
After two government bailouts of the U.S. economy in less than twenty years, free market ideology is due for serious reappraisal. In Free Market: the History of an Idea, Jacob Soll details how we got to this current crisis, and how we can find our way out by looking to earlier iterations of free market thought. Contrary to popular narratives, early market theorists believed that states had an important role in building and maintaining free markets. But in the eighteenth century, thinkers insisted on free markets without state intervention, leading to a tradition of ideological brittleness. That tradition only calcified in the centuries that followed. Tracing the intellectual evolution of the free market from Cicero to Milton Friedman, Soll argues that we need to go back to the origins of free market ideology in order to truly understand it—and to develop new economic concepts to face today’s challenges.
Jacob Soll is professor of history and accounting at the University of Southern California. He has been awarded numerous prestigious prizes including two NEH Fellowships, the Jacques Barzun Prize, a Guggenheim Fellowship, and, in 2011, the MacArthur Fellowship. He also advises political and financial leaders across the globe to promote accounting standards and financial transparency.
Joining Jacob Soll to discuss his book will be: Pierre Force, Professor of French and History at Columbia; John Shovlin, Professor of History at NYU; and Carl Wennerlind, Professor of History at Barnard College. Emmanuelle Saada, Professor of History and French at Columbia, will moderate the discussion.
This event is co-sponsored by the Maison Française and the Department of History.
The COVID-19 pandemic is said to be a once-in-a-century incident, and it brought to us a sense of crisis at various levels. What is a crisis, though? Can any unnerving moment or period be called a crisis, or are there different dimensions of a crisis to which we need to be attentive? Is solidarity possible after experiencing a crisis like Covid-19? Can Buddhism make any contribution to facilitating solidarity? This presentation explores the meaning and nature of a crisis and our responses to it by drawing on modern Korean political thinker Pak Ch’iu’s (1909–1949) analysis of crisis and feminist-Buddhist thinker Kim Iryŏp’s (1896–1971) Buddhist philosophy. By doing so, this presentation considers what social, political, existential, and even religious meaning we can draw from our experience of crises, and what questions these insights present to us.
With responses from Karsten Struhl (John Jay College of Criminal Justice, CUNY)
Presented by THE COLUMBIA SOCIETY FOR COMPARATIVE PHILOSOPHY
RSVP is required for dinner. If you would like to participate in our dinner, a $30 fee is required. Please contact Lucilla at lm3335@columbia.edu for further information.
In Sanskrit epistemology, philosophers are preoccupied with the notion of pramā. A pramā, roughly, is a mental event of learning or knowledge-acquisition. Call any such mental event a knowledge-event. In A Confection of Refutation (Khaṇḍanakhaṇḍakhādya), the 12th century philosopher and poet Śrīharṣa argued that knowledge-events are indefinable. Any satisfactory (and therefore non-circular) definition of knowledge-events will have to include an anti-luck condition that doesn’t appeal back to the notion of learning or knowledge-acquisition itself. But there is no such anti-luck condition. What is novel about Śrīharṣa’s argument is that it is motivated by his commitment to a certain “knowledge first” approach to epistemology: the view that knowledge-events are epistemically prior to other non-factive mental states and events. On this view, when we are trying to determine whether an agent has undergone a knowledge-event, we don’t initially ascribe to them some other non-factive mental event, and then check if that event meets some further conditions (like truth or reliability) necessary for it to count as a knowledge-event; rather, we treat certain mental events by default as knowledge-events until a defeater comes along. Surprisingly, Śrīharṣa argues that this kind of “knowledge first” epistemology should give us reason to doubt whether our ordinary attributions of knowledge-events are reliably tracking any sui generis psychological kind. In this talk, I reconstruct Śrīharṣa’s position.
With responses from Rosanna Picascia (Swarthmore College)
RSVP is required for dinner. Dinner will take place at a nearby restaurant. Please contact Lucilla at lm3335@columbia.edu for further information.
Individuals support forms of domination with varying levels of understanding that they are doing so. In many cases, those very structures of domination distort our conceptions of them through mechanisms such as motivated reasoning, implicit bias, affected ignorance, false consciousness, and belief polarization. These various epistemic distortions, in turn, cause social conflict, notably by promoting political polarization. Those worried by social conflict have spent a great deal of energy decrying the increasingly polarized contexts in which we live. However, epistemic distortions in our sociopolitical beliefs also misrepresent, maintain systems of domination and prevent human needs from being met.
This workshop aims to go beyond pronouncements such as ‘we are polarized’ or that ‘partisanship is on the rise,’ and begin to think through epistemic distortions at the individual and intersubjective levels, the role of criticism and critique in facilitating belief and social change, and the idea of reconciliation, by asking questions such as:
- In what ways are individual beliefs about domination/social structures epistemically distorted?
- What explains why social beliefs are epistemically distorted?
- What are the normative upshots of epistemic distortion for social relationships like allyship, comradeship, and friendship?
- Ought polarization be remedied? Which epistemic resources and theoretical frameworks avail themselves of emancipatory potential?
Convenors
Ege Yumuşak is a philosopher, specializing in epistemology, the philosophy of mind, and social & political philosophy. She received a PhD in Philosophy from Harvard University in 2022. Her research examines political disagreement—its material foundations, psychological and social manifestations, and epistemic properties. She is currently writing a series of articles on the nature and significance of clashes of perspective in social life.
Nicolas Côté is a postdoctoral researcher at the University of Toronto. His research is mainly in normative ethics and social choice theory, but they also dabble in applied ethics and issues of practical rationality. Côté’s doctoral dissertation work focuses on the measurement of freedom, especially on axiomatic approaches to the measurement question, and on how deontic concerns for protecting individual rights interact with welfarist concerns for improving the general welfare. Côté’s current research focuses on the ethics of decision-making under radical uncertainty.
Invited speakers:
Sabina Vaccarino Bremner; Daniela Dover; Cain Shelley
Invited commentators
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