This calendar showcases SWIP-Analytic events and a number of talks within train distance of the New York City area given by women working in analytic philosophy. Email our webmaster at [email protected] to suggest events to add to the calendar!
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CUNYKripke: Marilynn Johnson
December 9, 2013 @ 1:00 pm - 2:30 pm
Saul Kripke Center Brown Bag Lunch Lecture
Marilynn Johnson
PhD Student, CUNY Graduate Center
“Tree Trimming”
Date/Time: Monday, December 9, 1-2:30pm
Location: CUNY Graduate Center, Room TBA
Event website: https://kripkecenter.commons.gc.cuny.edu/event/kripke-center-brown-bag-lunch-lecture-marilynn-johnson/
ABSTRACT: In An Introduction to Non-Classical Logic: From If to Is Graham Priest (2008) presents branching rules in Free Logic, Variable Domain Modal Logic, and Intuitionist Logic. I propose a simpler, non-branching rule to replace Priest’s rule for universal instantiation in Free Logic, a second, slightly modified version of this rule to replace Priest’s rule for universal instantiation in Variable Domain Modal Logic, and third and fourth rules, further modifying the second rule, to replace Priest’s branching universal and particular instantiation rules in Intuitionist Logic. In each of these logics the proposed rule leads to tableaux with fewer branches. In Intuitionist logic, the proposed rules allow for the resolution of a particular problem Priest is grappling with throughout the chapter. In this paper, I demonstrate that the proposed rules can greatly simplify tableaux and argue that they should be used in place of the rules given by Priest.
