Cantor’s Theorem, Modalized

SEP 14, 2020 | 4:15 PM TO 6:15 PM

Details

WHERE:

The Graduate Center
Online

WHEN:

September 14, 2020: 4:15 PM-6:15 PM

ADMISSION:

Free

SPONSOR:

Logic and Metaphysics

Description

The Logic and Metaphysics Workshop will meet on September 14th from 4:15-6:15 (NY time) via Zoom for a talk by Chris Scambler (NYU).

Title: Cantor’s Theorem, Modalized

Abstract: I will present a modal axiom system for set theory that (I claim) reconciles mathematics after Cantor with the idea there is only one size of infinity. I’ll begin with some philosophical background on Cantor’s proof and its relation to Russell’s paradox. I’ll then show how techniques developed to treat Russell’s paradox in modal set theory can be generalized to produce set theories consistent with the idea that there’s only one size of infinity.

(The slides are available here.)

This event is part of The Graduate Center's Philosophy Program.