Generality and Existence 3: Substitution and Identity

December 11, 2015

I am giving a talk, entitled “Generality and Existence 3: Substitution and Identity” in the Melbourne Logic Workshop 2015 at the Melbourne Logic Group.

Abstract: In this talk, extend a sequent proof system for free logic to include an identity predicate. Or rather, two different candidate identity predicates allowing for the substitution of a lesser or greater class of predications. I show that the resulting system is well-behaved proof theoretically (the Cut rule is admissible) and the identity predicates can be well motivated in terms of their defining rules.

Workshop Program at the Melbourne Logic Group.
Slides.

about

I’m Greg Restall, and this is my personal website. ¶ I am the Shelby Cullom Davis Professor of Philosophy at the University of St Andrews, and the Director of the Arché Philosophical Research Centre for Logic, Language, Metaphysics and Epistemology ¶ I like thinking about – and helping other people think about – logic and philosophy and the many different ways they can inform each other.

To receive updates from this site, subscribe to the RSS feed in your feed reader. Alternatively, follow me at @consequently@hcommons.social, where most updates are posted.

contact

Social media: @consequently@scholar.social.
Personal email: greg@consequently.org.
St Andrews profile.
My office is in Edgecliffe, The Scores.