Bruno Jacinto (CFCUL/LanCog) & José Mestre (Stirling/LanCog)
30 April 2021, 16:00 (Lisbon Time – GMT+1) | Sala Mattos Romão (Departamento de Filosofia) & on Zoom
Abstract: Frege’s and Russell’s original projects of deriving the basic laws of arithmetic in pure logic were based on contrasting conceptions of the natural numbers. While Frege thought numbers were logical objects, Russell took them to be attributes of attributes of objects. Both projects failed. The Fregean conception of numbers has been at the basis of attempts to revive the logicist programme. Alas, neoFregean logicism has been the target of devastating objections. All the while, the Russellian route for establishing arithmetic’s logicality has been neglected. Yet, Russell’s is the more promising view on natural numbers. In this talk we show that our NeoRussellian Logicism is capable of finally sustaining the view that arithmetic is nothing but logic. We furthermore indicate one of its striking consequences: that arithmetic is an inherently modal discipline.
Free Attendance, but preregistration required: https://cful.letras.ulisboa.pt/lancog/registration/