Author: Urbaniak, Rafal
Source: Studia Logica, Volume 96, Number 2, November 2010 , pp. 149-173(25)
Abstract:The goal is to sketch a nominalist approach to mathematics which just like neologicism employs abstraction principles, but unlike neologicism is not committed to the idea that mathematical objects exist and does not insist that abstraction principles establish the reference of abstract terms. It is well-known that neologicism runs into certain philosophical problems and faces the technical difficulty of finding appropriate acceptability criteria for abstraction principles. I will argue that a modal and iterative nominalist approach to abstraction principles circumvents those difficulties while still being able to put abstraction principles to a foundational use.
Document Type: Research Article
Affiliations: Department of Philosophy, University of Gdańsk, Gdańsk, Poland, Email: firstname.lastname@example.org
Publication date: November 1, 2010