A standard way to challenge convergence-based accounts of inductive success is to claim that they are too weak to constrain inductive inferences in the short run. We respond to such a challenge by answering some questions raised by Juhl (1994). When it comes to predicting limiting relative frequencies in the framework of Reichenbach, we show that speed-optimal convergence—a long-run success condition—induces dynamic coherence in the short run. This is joint work with Eric Wofsey.
Michael Nielsen (Columbia University).
4:10 pm, Friday, November 16th, 2018
Faculty House, Columbia University
What does it mean that an event C “actually caused” event E? The problem of defining actual causation goes beyond mere philosophical speculation. For example, in many legal arguments, it is precisely what needs to be established in order to determine responsibility. (What exactly was the actual cause of the car accident or the medical problem?) The philosophy literature has been struggling with the problem of defining causality since the days of Hume, in the 1700s. Many of the definitions have been couched in terms of counterfactuals. (C is a cause of E if, had C not happened, then E would not have happened.) In 2001, Judea Pearl and I introduced a new definition of actual cause, using Pearl’s notion of structural equations to model counterfactuals. The definition has been revised twice since then, extended to deal with notions like “responsibility” and “blame”, and applied in databases and program verification. I survey the last 15 years of work here, including joint work with Judea Pearl, Hana Chockler, and Chris Hitchcock. The talk will be completely self-contained.
Daniel King (BS, Lafayette College. MS, PhD, University of Virginia) is a mathematics scholar with special interests in mathematics education, game theory, history and philosophy of mathematics, and the outreach of mathematics to the social sciences and the humanities. He currently teaches an undergraduate course, Game Theory: The Study of Strategy and Conflict.
In this talk, King will focus on two particularly intriguing “games:” Newcomb’s Problem and the Prisoners’ Dilemma. The analysis of both games leads us to a curious paradox of sorts. Fascinating and perplexing, these games and the paradoxes they unleash serve to challenge some of our most cherished beliefs and philosophical viewpoints. No prior knowledge of game theory (or advanced-level mathematics) is required in order to enjoy and fully engage with the ideas we explore in this talk.
This event is sponsored by Friends of Sarah Lawrence College and is open to the public.
To register for this event, or for more information on the Friends of Sarah Lawrence College, please e-mail friends@sarahlawrence.edu or call 914.323.6154.
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
There are two approaches to life. The first one, which we are identifying with Sir Karl Popper, is to think before we act and to let our hypotheses die in our stead when the overall outcome is likely to be negative. We act now for a better future, and we think now which action will bring the best future. Both decision theory and backward induction are technical versions of this train of thought. The second approach, which we will identify with the Buddha, is to live in the present and not allow the future to pull us away from living in the ever present Now. The Buddha’s approach is echoed in many others who came after him, Jelaluddin Rumi, Kahlil Gibran, and even perhaps Jesus. It occurs in many contemporary teachers like Eckhart Tolle and Thich Nhat Hanh. We may call Popper’s approach “futurism” and the Buddha’s approach “presentism.”
In this talk, we will discuss various aspects of the discourse on presentism and futurism. The purpose is to contrast one with the other. We will not attempt to side with one against the other, and instead leave it as a future project to find a prescriptive action-guiding choice between the two. We merely conjecture that a better optimal choice between these two positions may be somewhere in between. (This is joint work with Jongjin Kim.)
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
Presented by SWIP-Analytic
Scholars working under the broad umbrella of New Materialism have offered compelling reappraisals of the ways in which we know, interact with, and exist in the world. This scholarship also intersects with recent work on music and sound, which raises rich sets of questions regarding human agency, material, ethics, aesthetics, embodiment, and the subject/object dichotomy, among other issues.
We invite scholars working in the humanities, arts and sciences to submit proposals for papers and performances that engage with the themes of sound and new materialism, broadly construed. We welcome work that adopts historical, technological, analytical, philosophical, materialist, and creative vantage points, among others. Overall, this conference will direct these diverse disciplinary and methodological perspectives towards convergent and critical issues, creating new, interdisciplinary lines of enquiry and generating original research.
The one-day conference will consist of panels that comprise of papers with short reflections by a moderator, as well as an evening concert that includes opportunities for discussion. The concluding concert of work that engages with these themes from creative perspectives will afford attendees with an opportunity to consider and discuss issues concerning sound, material, and agency in a forum that contrasts with, but also complements, our events during the day. Conference participants are strongly encouraged to attend both the daytime and evening portions of the conference.
Proposals are called for:
Paper presentations of 20 minutes with 10 minutes of Q&A.
Artistic presentation of 20 minutes with 10 minutes of discussion
Submission: Proposals of no more than 500 words (300 words for artistic presentation) should be submitted as a PDF by August 14th 2019 to jc5036@columbia.edu
and include “NMAS Submission” in the subject line. If you’re applying for an artistic presentation please include three representative 2 minute audio/video examples. Please also include the title of your proposed paper and anonymize your submission. Include your name, affiliation, and contact information in the body of the email, and also nominate any audio/visual requirements for your paper or performance.
There is a broad consensus that Aristotle introduced the concept of matter in order to develop a consistent account of substantial change. However, it is disputed which role matter fulfills in substantial change. According to the traditional interpretation, matter persists while taking on or losing a substantial form. According to a rival interpretation, matter does not persist in substantial change; instead, it is an entity from which a new substance can emerge and which ceases to exist in this process. In my view, both interpretations are problematic in the light of Aristotle’s broader ontological project and are at odds with the way Aristotle describes the substantial generation of living beings. On the basis of Aristotle’s biological theory, I will suggest that Aristotelian matter is a continuant in substantial generation, but does not satisfy the common criteria for persistence that apply to individual substances.
Anna Schriefl
Anna Schriefl is Wissenschaftliche Mitarbeiterin (assistant professor) at the University of Bonn, and currently a visiting scholar at the New School. She has published a book about Plato’s criticism of money and wealth, and most recently an introduction into Stoicism (both in German).