The workshop is funded by the National Science Foundation (SES-1921688) and is aimed at bringing together academics who study the notion of mathematical explanation from philosophical and from educational/psychological perspectives. The idea is to bring together philosophers of mathematics, epistemologists, psychologists, and mathematics educators, to discuss how developments in their own fields could meaningfully contribute to the work on mathematical explanation where their fields intersect. In particular, we want to explore the ways in which mathematical explanation engenders understanding, by focusing on (1) the relationship between different types of philosophical accounts of mathematical explanation, (2) educational approaches to the characterization of effective explanations in the mathematics classroom, and (3) work at the intersection of these two perspectives.
All speakers:
Mark Colyvan
University of Sydney
Matthew Inglis
Loughborough University
Marc Lange
University of North Carolina, Chapel Hill
Tania Lombrozo
Princeton University
Alexander Renkl
University of Freiburg
Keith Weber
Rutgers University – New Brunswick
Orit Zaslavsky
New York University
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
Guests and visitors policies at the New School can be accessed via this website. You will have to download CLEAR and upload proof of vaccination or the results of a rapid test. Please try to arrive 15 minutes earlier so we can help you in case of complications.
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
Kant and Spinoza on Prophecy, Enlightenment and Revolution
Presented by Columbia University Dept. of Philosophy
In Sanskrit epistemology, philosophers are preoccupied with the notion of pramā. A pramā, roughly, is a mental event of learning or knowledge-acquisition. Call any such mental event a knowledge-event. In A Confection of Refutation (Khaṇḍanakhaṇḍakhādya), the 12th century philosopher and poet Śrīharṣa argued that knowledge-events are indefinable. Any satisfactory (and therefore non-circular) definition of knowledge-events will have to include an anti-luck condition that doesn’t appeal back to the notion of learning or knowledge-acquisition itself. But there is no such anti-luck condition. What is novel about Śrīharṣa’s argument is that it is motivated by his commitment to a certain “knowledge first” approach to epistemology: the view that knowledge-events are epistemically prior to other non-factive mental states and events. On this view, when we are trying to determine whether an agent has undergone a knowledge-event, we don’t initially ascribe to them some other non-factive mental event, and then check if that event meets some further conditions (like truth or reliability) necessary for it to count as a knowledge-event; rather, we treat certain mental events by default as knowledge-events until a defeater comes along. Surprisingly, Śrīharṣa argues that this kind of “knowledge first” epistemology should give us reason to doubt whether our ordinary attributions of knowledge-events are reliably tracking any sui generis psychological kind. In this talk, I reconstruct Śrīharṣa’s position.
With responses from Rosanna Picascia (Swarthmore College)
RSVP is required for dinner. Dinner will take place at a nearby restaurant. Please contact Lucilla at lm3335@columbia.edu for further information.