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
Abstract. The Noble Lie proposed by Plato for the Just City in Republic III has been much misunderstood. Its agenda is twofold: to get the citizens of the City to see their society as a natural entity, with themselves as all ‘family’ and akin; and to get the Guardians in particular to make class mobility, on which the justice of the City depends, a top priority. Since the second is taken to depend on the first, the Lie passage amounts to an argument (1) that the survival of a just community depends on the existence of social solidarity between elite and mass, which allows for full class mobility and genuine meritocracy; (2) that this solidarity in turn depends on an ideology of natural unity; and (3) that such ideologies are always false. So the Lie really is a lie, but a necessary one; as such it poses an awkward ethical problem for Plato and, if he is right, for our own societies as well.
Presented by SWIP-NYC