Calendar

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

*Zoom link can be requested if you are not on the email list, please send an email to ap3097@columbia.edu

THE COLUMBIA SOCIETY FOR COMPARATIVE PHILOSOPHY

Welcomes you to an IN-PERSON meeting:

Allison Aitken (Columbia University)

« A Case against Simple-mindedness: Śrīgupta on Mental Mereology »

With responses from Alexander Englert (Princeton University)

ABSTRACT: There’s a common line of reasoning which supposes that the phenomenal unity of conscious experience is grounded in a mind-like simple subject. To the contrary, Mādhyamika Buddhist philosophers beginning with Śrīgupta (seventh-eighth century) argue that any kind of mental simple is incoherent and thus metaphysically impossible. Lacking any unifying principle, the phenomenal unity of conscious experience is instead an ungrounded illusion. In this talk, I will present an analysis of Śrīgupta’s “neither-one-nor-many argument” against mental simples and show how his line of reasoning is driven by a set of implicit questions concerning the nature of and relation between consciousness and its intentional object. These questions not only set the agenda for centuries of intra-Buddhist debate on the topic, but they are also questions to which any defender of unified consciousness or a simple subject of experience arguably owes responses.

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

Artificial intelligence (AI) promises to automate and scale solutions to perennial accessibility challenges (e.g., generating image descriptions for blind users). However, research shows that AI-bias disproportionately impacts people already marginalized based on their race, gender, or disabilities, raising questions about potential impacts in addition to AI’s promise. In this talk, Cynthia Bennett will overview broad concerns at the intersection of AI, disability, and accessibility. She will then share details about one project in this research space that led to guidance on human and AI-generated image descriptions that account for subjective and potentially sensitive descriptors around race, gender, and disability of people in images.

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.

When someone is in a conscious state, must they be aware of that state?  The Buddhist philosopher Dignāga offers a brilliant route to answering this question by leveraging the role awareness might play as a constraint on memory.  I begin by clarifying his strategy and what conclusions it might be used to establish.  Here I examine different candidate directions of explanation between consciousness and inner awareness.  I interpret the metaphor of consciousness as a lamp that lights itself, and use the metaphor to distinguish between his view and contemporary higher-order theories of consciousness.  I then turn to explain why the memory argument fails.  The first main problem is that, contrary to Dignāga’s contemporary defenders, there is no good way to use the argument to reach a conclusion about all conscious states.  The second main problem is that the proposed awareness constraint on memory is highly problematic, in tension both with ancient objections as well as current psychology.

With responses from Lu Teng (NYU Shanghai)