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
Neuroprediction, the use of neuroscientific data to predict human behavior, can sound like science fiction. But with the advent of neuroimaging and the continuing rapid development of other non-invasive brain measurements, neuroprediction is increasingly a real-world phenomenon.
Deep philosophical, legal, and neuroscientific questions arise regarding the use of these methods to predict behavior. Like all scientific tools, whether or not these technologies are used responsibly depends on who uses them. For instance, recent research illustrates the potential use of neuroprediction to assess an individual’s risk of (re-)engaging in antisocial conduct in forensic contexts. While the use of brain-based data may add predictive value to existing risk assessment tools, at the same time, the use (or misuse) of neuroprediction in courtrooms may imply violations of individual rights and liberties under the pretext of enhancing public safety. In addition to these legal implications, neuroprediction presents several technological and neuroscientific challenges. The non-invasive measures currently available are only indirect measures of cognitive activity. Understanding the conceptual, ethical, and legal dimensions surrounding the use of neuroprediction technologies helps crystallize the issues at hand and potentially provides moral guidance for those who wish to capitalize on these new tools as their prevalence and specificity continue to advance.
In this seminar, four experts from neuroscience, law, and philosophy will discuss recent findings in neuroprediction research, the predictive power of brain-based evidence compared to behavioral evidence, as well as the ethical and legal concerns emerging from the entrance of neuroprediction in the courts of law.
Speakers:
Arielle Baskin-Sommers, Assistant Professor of Psychology and Psychiatry, Yale University
Martha Farah, Annenberg Professor of Natural Sciences, University of Pennsylvania
Kent Kiehl, Professor of Psychology and Neuroscience, University of New Mexico
Walter Sinnott-Armstrong, Chauncey Stillman Professor of Practical Ethics, Duke University
Discussant:
Jeffrey A. Fagan, Isidor and Seville Sulzbacher Professor of Law and Professor of Epidemiology, Columbia University
Moderator:
Federica Coppola, Presidential Scholar in Society and Neuroscience, Columbia University
Free and open to the public, but RSVP is required via Eventbrite. This event is part of the Seminars in Society and Neuroscience series.
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