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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

In 1804 Schelling diagnosed our impending “annihilation of nature” due to our conceptual detachment from and consequent economic exploitation of our natural world. His critique of Modernity’s Cartesian Idealisms, effected through his inversion of the Kantian categories, results in a philosophical project whose relevance to our ongoing climate crisis is difficult to overstate.

Bruce Matthews
Bard College/BHSEC, professor of philosophy, research in German Idealism and Romanticism, with a focus on life and thought of F.W.J. Schelling, whose recent work revolves around Schelling’s critique of modernity with its anticipation of, as he wrote in 1804, ‘the annihilation of nature,’ and its relevance to the Anthropocene.

“Schelling in the Anthropocene: A New Mythology of Nature,” (Symposium: Canadian Journal of Continental Philosophy, 2015), “Schelling: A Brief Biographical Sketch of the Odysseus of German Idealism,” in The Palgrave Handbook to German Idealism (2014), and “The New Mythology: Between Romanticism and Humanism,” in The Relevance of Romanticism (Cambridge University Press, 2014). Books include the forthcoming intellectual biography, Schelling: Heretic of Modernity (2018), Schelling’s Organic Form of Philosophy: Life as the Schema of Freedom (SUNY 2011).

Presented by the Philosophy Department at The New School for Social Research

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.

The violence already systematically inflicted on other earth beings (animals and the environment), and intensifying today intensified through ecological collapse and climate change, is ‘in plain sight’. Yet entrenched epistemic and institutional barriers impede its being registered in ways proportionate to its gravity. While in recent years, philosophers and social theorists have done a good job at explaining why, to use two familiar example, glass walls to abattoirs don’t stop people eating meat, and data on climate change does not catalyse mass mobilization, we have been less adept at delivering our analysis in ways that both illuminate and transform the many sites of dangerous inertia.

Through the experience of living through the Black Summer wildfires, Danielle Celermajer decided to philosophize the impact of climate catastrophe on animals and the environment through the genre of creative non-fiction. The result was Summertime; Reflections on a Vanishing Future, a book that grounds arguments about what ethics and responsibility to other earth beings means in the era of climate catastrophe in the immediate experiences of the members of the multispecies community with whom she lives. In this conversation, Celermajer and Professor Alice Crary will take Summertime as their starting point to reflect on questions of ethics, language, and the responsibility of theorists in the midst of ecological collapse.

Bios:

Danielle Celermajer is Professor of Sociology at the University of Sydney, Deputy Director of the Sydney Environment Institute and leads the Multispecies Justice project. Her books include Sins of the Nation and the Ritual of Apology and The Prevention of Torture, A Cultural History of Law in the Modern Age, The Subject of Human Rights, and Institutional Transformations. Through the experience of living through the black summer bushfires with a multispecies community, she began writing about a new crime of our age, Omnicide. Her book Summertime; Reflections on a Vanishing Future (Penguin Random House, 2021) considers the more-than-human experience of climate catastrophe.