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
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.
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
TBA
How does the imagination change us? Why should picturing ourselves a certain way have any real effect on what we are? These questions are central to debates in Buddhist tantric literature regarding the generation stage (utpattikrama), wherein practitioners visualize themselves as buddhas ensconsed in magnificent mandala-palaces. For some, this practice is what sets Buddhist tantra apart: through this “yoga of the imagination,” as David Shulman puts it, a practitioner can achieve buddhahood in a single lifetime. And yet, as the Buddhist tantric author Indrabhūti (8th century) argues, a pauper who imagines himself to be a king does not thereby become one—so, in the same way, practitioners who visualize themselves as buddhas will not thereby become buddhas. The mental imagery (ākāra) involved in this practice is just so much unreal fabrication. Why should it have real transformative effects? I’ll consider here how these debates played out in Sanskrit Buddhist tantric texts from the 10th–11th centuries. I’ll focus on early authors in the Kālacakra tradition, who upheld Indrabhūti’s critique of the generation stage, and authors like Ratnākaraśānti, Vāgīśvarakīrti, and Advayavajra (aka Maitrīpa), who each in their own way critiqued mental imagery yet defended the importance and effectiveness of generation-stage practice. In the first part of the paper, I’ll consider arguments against mental imagery as these appear in generation-stage practice texts and the early Kālacakra tradition. In the second part, I’ll turn to why we might think unreal mental imagery can nevertheless have real transformative effects, paying special attention to the ways Buddhist tantric authors writing in Sanskrit take up ideas from the tradition of dramatic theory (nāṭyaśastra) and Sanskrit culture more broadly.
With responses from Thomas Yarnall (Columbia University)
DATE: February 2nd, 2024
TIME: 5:30 pm EST
LOCATION: Philosophy Hall, Room 716, Columbia University
1150 Amsterdam Ave, New York, NY 10027
NOTE ON ENTRY FOR NON-COLUMBIA GUESTS: The door to Philosophy Hall will only open with a Columbia University ID card. If you do not have this card please arrive early where someone will be standing outside until the meeting begins. If you arrive late, you can ask someone walking nearby to let you in or contact Cole at cf2798@columbia.edu. Please only contact Cole as a final resource so as not to interrupt the talk.
NOTE REGARDING DONATIONS: Due to COVID-19, donations are only accepted through Columbia University’s secure online giving form, Giving to Columbia.
RSVP is required for dinner. Dinner will take place at a nearby restaurant. Please contact Cole at cf2798@columbia.edu for further information.
ACCESSIBILITY STATEMENT: Columbia University encourages persons with disabilities to participate in its programs and activities. The University Seminars’ participants with dis- abilities who anticipate needing accommodations or who have questions about physical access may contact the Office of Disability Services at 212.854.2388 or disability@columbia.edu. Disability accommodations, including sign-language interpreters, are available on request. Requests for accommodations must be made two weeks in advance. On campus, seminar participants with disabilities should alert a Public Safety Officer if they need assistance accessing campus.
PLEASE VISIT OUR WEBSITE: https://universityseminars.columbia.edu/seminars/comparative-philosophy/
(Please do not reply to this announcement. You may contact the Co-Chairs using the link above.)
Comparative Philosophy Seminar:
- January 19 – Alex Watson (Ashoka University)
- February 2 – Davey Tomlinson (Villanova University)
- April 5 – Laura Specker (Fordham University)
- May 3 – Daniel Stephens (University at Buffalo)