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Interim 2010: Modal Logic

Friday, January 21, 2011
Ashleigh Draft

Tradition states that above the entrance to Plato鈥檚 Academy were inscribed the words, 鈥淟et no one ignorant of geometry enter here.鈥

[photo here]

A student in the modal logic interim course studies how subjunctives compare with conditional probabilities in probability theory.

Tomis Kapitan, Presidential Teaching Professor in the philosophy department at Northern Illinois University, says he might modify that statement to read: "Let no one enter graduate school in philosophy who has not studied modal logic."

Most students study advanced topics like modal logic for the first time in graduate school. But it鈥檚 to the student鈥檚 advantage to be exposed to modal logic as undergraduates, says 17c起草社区 professor . However, an advanced field of logic like modality rarely fits into an .

Interim focus

颁补濒惫颈苍鈥檚 January term has given Wykstra an opportunity to teach "Modal Logic: Theory and Applications" for the past two years. Last year, six senior , all headed to graduate school, petitioned Wykstra to teach the course. "So it was sort of our 鈥榮end-off present鈥 for them,鈥 says Wykstra. 鈥淏ut it鈥檚 also an opportunity for me to become more familiar with modal logic. I think that鈥檚 part of the interim ideal; a professor can push into a place he or she isn鈥檛 entirely familiar with, and students and professor can learn together.鈥

The subject matter is difficult, admits Wystra. But he also says that students shouldn鈥檛 be intimidated by it. 鈥淚t doesn鈥檛 always come easy for me,鈥 says Wykstra. 鈥淵ou have to work to be comfortable with it.鈥

"It鈥檚 been pretty hard,鈥 confirms sophomore Aaron Franklin. 鈥淚t鈥檚 hard to learn all the new terms, and how they relate.鈥 His classmates concur: learning the language of modal logic has certainly not been easy. But despite the difficulty, Professor Wykstra has made the material accessible, says junior Cameron Gibbs.

Modal logic at work

The class consists of a 鈥渇ormal logic鈥 layer and an 鈥渁pplication鈥 layer鈥攖he latter of which shows students how contemporary philosophers apply the tools of modality to philosophical problems. This month the class has been using the evidential problem of evil as its primary 鈥渃ase study鈥 for how modal concepts can inform a contemporary philosophical debate.

Lu Teng, an exchange student from Wuhan University in China, says, "In China I studied a lot of logic, and a lot of logic that was very hard. But it was more like studying mathematics鈥擨 never was sure what it related to. Here I see the applications from Professor Wykstra.鈥

"One of the foibles of advanced logic is that it can seem tedious and uninteresting at times,鈥 says senior Tim Perrine. 鈥淏ut in this class I knew I was gaining a tool that I could apply, and that would be fruitful for future use.鈥

[photo here]

Senior major Emi Okayasu explains an element of modal logic to classmates Lu Teng and Quan Jin. Teng and Jin are both visiting students in 17c起草社区's philosophy department from Wuhan University in China.

Philosophy as a living discipline

The application portion of the class also provides students with front-row seats to living debates within philosophy鈥攚hat arguments and counterarguments are being presented in the field right now. This year鈥檚 modal logic students even have an opportunity to read and respond to a paper co-authored by Wykstra and one of their classmates, Tim Perrine. The paper will be presented at the Pacific Division meeting of the American Philosophical Association this spring.

"Once nice thing about the class is that there was a real sense of community and teamwork,鈥 says Perrine. 鈥滱nd since this is a current research interest of Professor Wykstra鈥檚, there really was a sense of the professor and the students getting together in a circle and trying to understand particular ideas and how they fit. That鈥檚 a nice feeling for a class that you don鈥檛 get very often.鈥

"Studying modal logic has allowed me to study the places where philosophy intersects with topics in other departments,鈥 says senior Emi Okayasu. 鈥淚t鈥檚 shown me that philosophy is not just the history of thought鈥t鈥檚 a very dynamic discipline.鈥 Quan Jin, also visiting from Wuhan University, adds, 鈥淚t鈥檚 shown me that analytic philosophy isn鈥檛 trivial.鈥

Wykstra says that his goal is to give students exposure to theories of modal logic. 鈥淚 want them to have the basic language down鈥and] to have the street smarts to enter into a discussion and not feel lost,鈥 he says. 鈥淚 don鈥檛 expect them to become like tai chi masters who know all the right moves鈥 I just want them to be able to handle themselves in a street brawl.鈥