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Foundations Interest Group

Meeting time: 4:00–6:00 pm Thursdays

Meeting place: 731 Heller Hall

The foundations interest group (FIG) reads and discusses works of mutual interest in the philosophy and foundations of mathematics and in the philosophy of logic. We select readings for a variety of reasons: to keep up on the most exciting developments in the field, to help participants scrutinize literature relevant to research, to provide feedback on works in progress being written by FIG, to revisit classic articles in the literature, and sometimes just to have fun discussing a topic related to the foundations of mathematics and the philosophy of logic.

Our meetings are informal and some participants need to arrive late or leave early because of scheduling conflicts. All faculty and graduate students from the University of Minnesota and area colleges and universities are welcome to attend whenever they would like (without invitation) and without giving advanced notice. Undergraduates are included by invitation. If you know of an undergraduate who is well suited and possibly interested, please contact Roy T. Cook so an invitation can be extended.

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Fall 2018

This Fall, FIG will be meeting in conjunction with PHIL8220 in 731 Heller Hall at 4pm. Contact Roy Cook for more details.
Required texts:
Cook, Roy (in progress) Frege, Goldilocks, and Caesar (chapters will be distributed in class as needed!).
Linnebo,Øystein (2018) Thin Objects: An Abstractionist Account, Oxford, Oxford
University Press.

September 6: PHIL8220 syllabus (pdf). BLV, HP, and Russell
Recommended readings:
Neil Tennant, "Logicism and Neologicism" Stanford Encyclopedia of Philosophy.
Ed Zalta, "Frege's Theorem and Foundations for Arithmetic" Stanford Encyclopedia of Philosophy.
Andrew Irvine & Harry Deutsch,"Russell's Paradox" Stanford Encyclopedia of Philosophy.

September 13: Background
Boolos, Georg, "Saving Frege From Contradiction" In Logic, Logic and Logic: 171–182,
OP: Proceedings of the Aristotelian Society 1987. (pdf)
Boolos, George, "Is Hume's Principle Analytic?" In Logic, Logic and Logic: 301–314,
OP: Logic, Language and Thought, OUP 1997. (pdf)
Wright, Crispin, "Is Hume's Principle Analytic?" In The Reason's Proper Study: 307–334,
OP: Notre Dame Journal of Formal Logic 1999. (pdf)

September 20: Roy's Take
Cook, Roy T, "New Waves on an Old Beach..." In New Waves in Philosophy of Mathematics, Palgrave 2009. (pdf)
Cook, Roy T, "Conservativeness, Stability, and Abstraction" BJPS 63, 2012: 673–696. (pdf)

September 27: Thin Objects & Dynamic Abstraction I
Linnebo, Øystein Thin Objects Part I.

October 4: Thin Objects & Dynamic Abstraction II
Linnebo, Øystein Thin Objects Part II.

October 11: Thin Objects & Dynamic Abstraction III
Linnebo, Øystein Thin Objects Part III.

October 18: Thin Objects w/o Dynamics I
Cook, Roy T, Frege, Goldilocks, and Caesar Chapters 1 & 2.

October 25: Thin Objects w/o Dynamics II
Cook, Roy T, Frege, Goldilocks, and Caesar Chapters 3 & 4.

November 1: Thin Objects w/o Dynamics III
Cook, Roy T, Frege, Goldilocks, and Caesar Chapter 5.

November 8: Thin Objects w/o Dynamics IV
Cook, Roy T, Frege, Goldilocks, and Caesar Chapter 6.

November 15: Thin Objects w/o Dynamics V
Cook, Roy T, Frege, Goldilocks, and Caesar Chapter 7.

November 29: Finishing Up
Readings TBA

December 6: No meeting

Previous Foundations Interest Group Discussion Topics

For more information, please contact Roy T. Cook or Janet McKernan.

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