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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.

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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

With responses from Mark Siderits (Illinois State University)

ABSTRACT: Buddhist philosophers often draw a distinction between two different kinds of truth: conventional truth (saṃvṭi-satya) and ultimate truth (paramārtha-satya). Abhidharma Buddhists philosophers typically understand this distinction in terms of an ontological distinction between two different kinds of entities: ultimately real entities (paramārtha-sat) and conventionally real entities (saṃvṛti-sat). Similar to contemporary philosophical discussions about ordinary objects, Buddhist philosophers debate the ontological status of conventional entities and the semantics of discourse concerning them. Mark Siderits (2015, 2021, 2022) has influentially argued for an eliminitivist position he calls “Buddhist reductionism” that interprets the Abhidharma position as one that denies conventional entities exist but that retains discourse involving apparent reference to them. However, in a recent article Kris McDaniel (2019), a prominent defender of ontological pluralism, challenges that view by proposing that the Abhidharma Buddhist distinction between conventional truth and ultimate truth be “defined up” from a more basic distinction between two different ways an entity can exist: conventionally or ultimately. In this paper I argue that Saṃghabhadra’s account of conventional reality and truth does lends itself well to McDaniel’s proposal but I will also argue that the account of conventional and ultimate truth that results differs in important ways from the models he offers. I will end by offering a modification of McDaniel’s account of conventional truth that is derived from Saṃghabhadra’s pluralist ontology. That view will, unlike the views suggested by both Siderits and McDaniel, allow for there to be ultimate truths about what is conventionally true.

Dinner will be kindly offered by the Columbia University Seminars. 

RSVP is required for dinner. Please email Lucilla with eating requirements at lm3335@columbia.edu.