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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Ideal Objects for Set Theory

Full text
Author(s):
Jockwich, Santiago [1] ; Tarafder, Sourav [2] ; Venturi, Giorgio [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Dept Philosophy, Barao Geraldo, SP - Brazil
[2] St Xaviers Coll, 30 Mother Teresa Sarani, Kolkata 700016 - India
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF PHILOSOPHICAL LOGIC; JAN 2022.
Web of Science Citations: 0
Abstract

In this paper, we argue for an instrumental form of existence, inspired by Hilbert's method of ideal elements. As a case study, we consider the existence of contradictory objects in models of non-classical set theories. Based on this discussion, we argue for a very liberal notion of existence in mathematics. (AU)

FAPESP's process: 16/25891-3 - Arbitrariness and genericity: or on how to speak of the unspeakable
Grantee:Giorgio Venturi
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 17/23853-0 - Arbitrariness and definability in the context of non-classical logics
Grantee:Daniel Santiago Jockwich Martinez
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)