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
Please note: All events are virtual until otherwise stated.
Location TBA
Contact Toby Bollig
TBA
Location TBD
Professor Williamson will give 3 lectures: September 19, 21, and 23. All will take place in AB-2400 [East Wing] from 4:30-6:30pm.
The lectures will discuss problems in the methodology of contemporary philosophy. Although philosophy without use of counterexamples would be a disaster, the way they are currently handled is naïve. In particular, it is too vulnerable to fake counterexamples generated by more or less universal human heuristics.
Lecture One: Heuristics [9/19]
Human cognition, from sense perception to abstract reflection, frequently employs heuristics, quick, easy, efficient, and imperfectly reliable ways of solving problems. To a neglected extent, philosophical problems and paradoxes from reliance on the outputs of fallible heuristics. This will be illustrated with examples involving vagueness, conditionals, belief ascription, truth and falsity, and reasons aggregation. Potential lessons for philosophical method will be discussed.
Lecture Two: Overfitting [9/21]
Overfitting is a well-recognized methodological problem in natural science, where use of models with too many degrees of freedom leads to unstable theorizing and failure to detect errors in the data. Overfitting is also a major but ill-recognized methodological problem in philosophy, exacerbated by its reliance on heuristics. General intellectual tendencies conducive to overfitting in philosophy will be discussed.
Lecture Three: Hyperintensionality [9/23]
The ‘hyperintensional revolution’ proclaims that central metaphysical distinctions cannot be captured in modal terms since they are sensitive to differences between necessary equivalents. Such hyperintensionalism fits the profile of overfitting. It is motivated by case judgments that are explicable as results of a fallible heuristic and it leads to models with too many degrees of freedom.
Professor Williamson will give 3 lectures: September 19, 21, and 23. All will take place in AB-2400 [East Wing] from 4:30-6:30pm.
The lectures will discuss problems in the methodology of contemporary philosophy. Although philosophy without use of counterexamples would be a disaster, the way they are currently handled is naïve. In particular, it is too vulnerable to fake counterexamples generated by more or less universal human heuristics.
Lecture One: Heuristics [9/19]
Human cognition, from sense perception to abstract reflection, frequently employs heuristics, quick, easy, efficient, and imperfectly reliable ways of solving problems. To a neglected extent, philosophical problems and paradoxes from reliance on the outputs of fallible heuristics. This will be illustrated with examples involving vagueness, conditionals, belief ascription, truth and falsity, and reasons aggregation. Potential lessons for philosophical method will be discussed.
Lecture Two: Overfitting [9/21]
Overfitting is a well-recognized methodological problem in natural science, where use of models with too many degrees of freedom leads to unstable theorizing and failure to detect errors in the data. Overfitting is also a major but ill-recognized methodological problem in philosophy, exacerbated by its reliance on heuristics. General intellectual tendencies conducive to overfitting in philosophy will be discussed.
Lecture Three: Hyperintensionality [9/23]
The ‘hyperintensional revolution’ proclaims that central metaphysical distinctions cannot be captured in modal terms since they are sensitive to differences between necessary equivalents. Such hyperintensionalism fits the profile of overfitting. It is motivated by case judgments that are explicable as results of a fallible heuristic and it leads to models with too many degrees of freedom.
Professor Williamson will give 3 lectures: September 19, 21, and 23. All will take place in AB-2400 [East Wing] from 4:30-6:30pm.
The lectures will discuss problems in the methodology of contemporary philosophy. Although philosophy without use of counterexamples would be a disaster, the way they are currently handled is naïve. In particular, it is too vulnerable to fake counterexamples generated by more or less universal human heuristics.
Lecture One: Heuristics [9/19]
Human cognition, from sense perception to abstract reflection, frequently employs heuristics, quick, easy, efficient, and imperfectly reliable ways of solving problems. To a neglected extent, philosophical problems and paradoxes from reliance on the outputs of fallible heuristics. This will be illustrated with examples involving vagueness, conditionals, belief ascription, truth and falsity, and reasons aggregation. Potential lessons for philosophical method will be discussed.
Lecture Two: Overfitting [9/21]
Overfitting is a well-recognized methodological problem in natural science, where use of models with too many degrees of freedom leads to unstable theorizing and failure to detect errors in the data. Overfitting is also a major but ill-recognized methodological problem in philosophy, exacerbated by its reliance on heuristics. General intellectual tendencies conducive to overfitting in philosophy will be discussed.
Lecture Three: Hyperintensionality [9/23]
The ‘hyperintensional revolution’ proclaims that central metaphysical distinctions cannot be captured in modal terms since they are sensitive to differences between necessary equivalents. Such hyperintensionalism fits the profile of overfitting. It is motivated by case judgments that are explicable as results of a fallible heuristic and it leads to models with too many degrees of freedom.
Susan Neiman develops in Evil in Modern Thought: An Alternative History of Philosophy (2002, Princeton: Princeton University Press) a watershed perspective on the longstanding problem of evil, the perniciously difficult to satisfy “need to find order within those appearances so unbearable that they threaten reason’s ability to go on.” The book thereby also presents a radically new perspective on traditional debates within metaphysics. On the occasion of its twentieth anniversary, we gather to celebrate her accomplishment and to advance the research program it reflects. Participants will include, in addition to Neiman herself: Annalise Acorn, Frederick Beiser, Jeremy Bendik-Keymer, Omri Boehm, Dan Brudney, Caroline Bynum, Lorraine Daston, Michael Della Rocca, Wendy Doniger, Wolfram Ellenberger, John Faithful Hamer, Carey Harrison, Patricia Kitcher, Philip Kitcher, Christia Mercer, Cornel West, Allen Wood, and James Wood.
Distinguished Guest:
Peter van Inwagen (University of Notre Dame)
Speakers:
Aaron Segal (Hebrew University of Jerusalem)
Alex Rosenberg (Duke University)
Anna Marmodoro (Durham University & Oxford University)
Barry Loewer (Rutgers University)
Brian Leftow (Rutgers University)
David Builes (Princeton University)
Dean Zimmerman (Rutgers University)
Ernest Sosa (Rutgers University)
John Hawthorne (University of Southern California & Australian Catholic University)
Laurie Paul (Yale University)
Ted Sider (Rutgers University)
Trenton Merricks (University of Virginia)
The tentative schedule can be found here.
This event is sponsored by the Rutgers Center for the Philosophy of Religion and the Department of Philosophy
Registration
To register, please inform Esther Goh (esther.goh@rutgers.edu) that you plan to attend.
Note: Space is limited, and non-Rutgers attendees must provide proof of vaccination (you can email this to Esther or show us on the day itself) or a negative PCR test.
Travelling to Rutgers (Plane & Train)
The closest airport is EWR (Newark Liberty International Airport). When you are at Newark Airport, just follow the signs to the monorail “airtrain”. The airtrain will take you to the NJ transit train stop, and then you can take the NJ Transit train (Northeast Corridor Line) to New Brunswick station (It costs $14; takes approx. 45mins).
Another two nearby airports are JFK (John F. Kennedy International Airport) and LGA (LaGuardia Airport). Both are in New York. It takes 1hr+ by taxi or 2hr+ by public transport to come to Rutgers.
Hotels
The closest hotels are “Hyatt Regency New Brunswick” (6mins walk from train station) and “The Heldrich Hotel and Conference Center” (8mins walk from train station). You can also check out “Rutgers University Inn and Conference Center” which is further away.
The best rates for the Hyatt can often be found on hotels.com.
Questions
For any inquiries, please contact Esther Goh at esther.goh@rutgers.edu.
(If you are a guest speaker, please contact Frederick Choo at frederick.choo@rutgers.edu for inquiries instead.)
Contact Frederick Choo, fredrick.choo@rutgers.edu