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

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

Please join us for a talk by Eric-John Russell (Universität Potsdam), who will present chapters from his recently published book, Why Everything is as it Seems: Hegel and Debord. Jacob McNulty (University College London) will provide a response followed by a Q&A with our audience.

Guy Debord has been called many things: pseudo-philosopher, nihilist, filmmaker, megalomaniac, strategist, third-rate Mephistopheles. His book The Society of the Spectacle (1967) has fallen into a similarly motley reception, frequently enveloped within the discourses of postmodernism, media and cultural studies, and avant-garde art history. My research however, dispenses with such narratives and instead offers a sustained examination of the concept of the society of the spectacle through the two pillars upon which Debord understood his own work as a critical theory of society: Marx’s critique of political economy and Hegel’s speculative philosophy. It is the latter that will be the focus of my paper, first by offering some introductory remarks on Debord’s theory of the spectacle but then arguing  that it precisely the speculative dimension of Hegel’s dialectic that remains central for Debord’s diagnosis of twentieth century capitalism, with emphasis placed on the importance of Hegel’s Wesenslogik. I will conclude with the historical significance of Debord’s “heretical Hegelianism,” specifically as an intervention within the atmosphere of the French Hegelianism of the interwar and postwar period.

15 Feb, 4pm:

James Kreines (Claremont McKenna)

From Shapeless Abyss Towards Self-Developing Thought: Taking Hegel on Spinoza Seriously

@ The New School, Room L502, at 2 W 13th Street

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Feb 24:

Georg Spoo (Freiburg)

Grounds and Limits of Immanent Critique: Kant, Hegel, Marx

@ Columbia

Mar 3:

Heikki Ikaheimo

Hegel, Humanity, and Social Critique

@ Zoom

Mar 24:

Stephen Howard (KU Leuven)

Kant’s Late Philosophy of Nature: The Opus Postumum

@ Columbia

Apr 11:

Karin de Boer

Does Kant’s Antinomy of Pure Reason Amount to an A Priori History of Rational Cosmology?

@ Columbia

Apr 15, 4pm:

Eva von Redecker

Co-sponsored by the New School Graduate Student Conference

@ The New School

Apr 21:

Giulia Battistoni

NAture, Life, Organizm: The Legacy of Romanticism and Classical German Philosophy in Jonas’ Philosophical Biology

@ The New School