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On Negation for Non-classical Set Theories

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Author(s):
Jockwich Martinez, S. ; Venturi, G.
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF PHILOSOPHICAL LOGIC; v. 50, n. 3, p. 22-pg., 2020-10-22.
Abstract

We present a case study for the debate between the American and the Australian plans, analyzing a crucial aspect of negation: expressivity within a theory. We discuss the case of non-classical set theories, presenting three different negations and testing their expressivity within algebra-valued structures for ZF-like set theories. We end by proposing a minimal definitional account of negation, inspired by the algebraic framework discussed. (AU)

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)
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