Workshop on Mathematical Depth

 

The Department of Logic and Philosophy of Science at the University of California, Irvine, is pleased to announce a workshop on mathematical depth, to be held on Friday, April 11 and Saturday, April 12, 2014. The workshop brings together mathematicians and historians and philosophers of mathematics to try to get a preliminary sense of whether or not the notion of ‘mathematical depth’ can play a useful role in our understanding of the nature and practice of mathematics. Speakers have been encouraged to present an example or examples of concepts, theorems, subject areas that they think qualify as deep, or as not deep, and to lay out the particular mathematical features of those examples that lead them to make those judgments. The discussion will be aimed to do several things:
  1.  See if there is agreement on which examples are deep and not deep.
  2. See if there are commonalities in the kinds of features cited in defense of depth and non-depth assessments in the various examples.
  3. Ask whether depth is or isn’t the same as fruitfulness, surprisingness, importance, elegance, difficulty, fundamentalness, explanatoriness, etc.
  4. Ask whether depth seems likely to be an objective feature or something essentially tied to our interests, abilities, and so on. (Even natural science is tied to our interests and abilities, in that we might be drawn to certain areas of inquiry by our interests, hampered or helped by certain of our abilities, etc. The question is whether depth is tied to our interests and abilities in some more fundamental way.)
One possible outcome would be: this is a non-starter. Another would be: this is worthy of further study.
Schedule
Friday, April 11th, 2014
10:00AM – 10:45AM: Breakfast
10:45AM – 11:45PM: James Tappenden
11:45AM – 12:00PM: Coffee Break
12:00PM – 1:00PM: John Stillwell
1:00PM – 1:30PM: General Discussion
1:30PM – 2:45PM: Lunch
2:45PM – 3:45PM: Robert Geroch
3:45PM – 4:00PM: Coffee Break
4:00PM – 5:00PM: Jeremy Gray
5:00PM – 6:00PM: General Discussion
Saturday, April 12th, 2014
10:00AM – 10:45AM: Breakfast
10:45AM – 11:45PM: Andrew Arana
11:45AM – 12:00PM: Coffee Break
12:00PM – 1:00PM: Mario Bonk
1:00PM – 1:30PM: General Discussion
1:30PM – 2:45PM: Lunch
2:45PM – 3:45PM: Alasdair Urquhart
3:45PM – 4:00PM: Coffee Break
4:00PM – 5:00PM: Marc Lange
5:00PM – 6:00PM: General Discussion
Location: Social and Behavioral Sciences Building, 1517 on the University of California, Irvine Campus.
Organizers: Jeremy Heis, Penelope Maddy, Sean Walsh, and Jim Weatherall
Webpagehttp://www.lps.uci.edu/node/16463
If you plan to attend or desire more information, please contact mmcnulty@uci.edu.

 

Advertisements


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s