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
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
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
8 February @Columbia
Patricia Kitcher: The Fact of Reason in Kant’s Moral Psychology
Response: Jessica Tizzard
22 February @NSSR
5 April @Columbia
Beatrice Longuenesse: Residues of First Nature
19 April @NSSR
Angelica Nuzzo: Approaching Hegel’s Logic Obliquely: Melville, Moliere, Beckett
Response: David Carlson
10 May @Columbia
Amy Allen: Turning Dead Ends into Through Streets: Psychoanalysis and the Idea of Progress
Session I – Chair: Michael Begun (Fordham)
10:00 – Samantha Matherne (Harvard University)
“Rethinking Kantian Aesthetic Normativity”
11:30 – Wiebke Deimling (Clark University)
“Kant’s Theory of Tragedy”
1:00 – Lunch Break
Session II – Chair: Daryl Tress (Fordham)
2:30 – Melissa Zinkin (SUNY Binghamton)
“Aesthetic Judgment, the Generation of Concepts, and Cognitive Mastery in Kant”
4:00 – Jay Bernstein (New School for Social Research)
“Kant and Adorno on Mind and World: From Wild Beauties to Spiral Jetty”
Sponsored by the Fordham Philosophy Department’s German Philosophy Group
Contact: Reed Winegar (bwinegar@fordham.edu)
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.
Ian Hacking wrote that probability is a Janus-faced concept with one face looking toward the world and the other toward the mind. The face looking toward the world is central to laws and explanations in physics (especially quantum mechanics and statistical mechanics) and the special sciences. The face looking toward the mind is central to epistemology and decision theory. This conference concerns both aspects and especially their relation to each other. What is probability that it possesses both aspects? This three-day conference will focus on answering this and related questions.
There is no registration fee and attendance is open to all; however, RSVP is required. Please RSVP here before Oct 15, if you plan to attend. All are welcome!
General information is available here.
Conference Organizers
Barry Loewer (Rutgers)
Denise Dykstra (Rutgers)
Invited Participants
David Albert (Columbia)
Valia Allori (NIU)
Katie Elliott (UCLA)
Ned Hall (Harvard)
Carl Hoefer (Barcelona)
Jenann Ismael (Columbia)
Christopher Meacham (Amherst)
Wayne Myrvold (Western)
Richard Pettigrew (Bristol)
Jack Spencer (MIT)
Schedule Overview
(A detailed schedule is available here.)
Thursday, October 24
- 3:00 – 6:00: Metaphysics of Objective Probability: Ned Hall (Harvard); Jenann Ismael (Columbia).
Friday, October 25
- 9:00 – 9:50: Breakfast in the philosophy department
- 9:50 – 10:00: Welcome & Introductory Remarks (Barry Loewer)
- 10:00 – 1:00: Chance: Katie Elliott (UCLA); Christopher Meacham (Amherst).
- 1:00 – 2:30: Lunch
- 2:30 – 5:30: Probabilities in the Special Sciences: Carl Hoefer (Barcelona); Wayne Myrvold (Western Ontario).
Saturday, October 26
- 9:00 – 10:00: Breakfast in the philosophy department
- 10:00 – 1:00: Chance-Credence Principles: Richard Pettigrew (Bristol); Jack Spencer (MIT).
- 1:00 – 2:30: Lunch
- 2:30 – 5:30: Typicality and the Statistical Postulate: David Albert (Columbia); Valia Allori (NIU).
Please contact the conference organizers (LawsAndChanceProject@gmail.com) if you have any questions.
We live in an era of aesthetics. Art has become both pervasive and powerful – it is displayed not only in museums and galleries but also on the walls of corporations and it is increasingly fused with design. But what makes art so powerful, and in what does its power consist?
According to a widespread view, the power of art – its beauty – lies in the eye of the beholder. What counts as art appears to be a function of individual acts of evaluation supported by powerful institutions. On this account, the power of art stems from a force that is not itself aesthetic, such as the art market and the financial power of speculators. Art expresses, in a disguised form, the power of something else – like money – that lies behind it. In one word, art has lost its autonomy.
In his talk, Markus Gabriel rejects this view. He argues that art is essentially uncontrollable. It is in the nature of the work of art to be autonomous to such a degree that the art world will never manage to overpower it. Ever since the cave paintings of Lascaux, art has taken hold of the human mind and implemented itself in our very being. Thanks to the emergence of art we became human beings, that is, beings who lead their lives in light of an image of the human being and its position in the world and in relation to other species. Due to its structural, ontological power, art itself is and remains radically autonomous. Yet, this power is highly ambiguous, as we cannot control its unfolding.
Markus Gabriel holds the chair for Epistemology, Modern and Contemporary Philosophy at the University of Bonn and is also the Director of the International Center for Philosophy in Bonn as well as the director of the Center for Science at Thought at Bonn.
Presented by The New School for Social Research and Philosophy Department and it is co-sponsored with the Liberal Studies Department.