Artículos de revistas
On Existence in Set Theory
Registro en:
Notre Dame Journal Of Formal Logic. Duke Univ Press, v. 53, n. 4, n. 525, n. 547, 2012.
0029-4527
WOS:000311654300006
10.1215/00294527-1722737
Autor
Freire, RA
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) The aim of the present paper is to provide a robust classification of valid sentences in set theory by means of existence and related notions and, in this way, to capture similarities and dissimilarities among the axioms of set theory. In order to achieve this, precise definitions for the notions of productive and nonproductive assertions, constructive and nonconstructive productive assertions, and conditional and unconditional productive assertions, among others, will be presented. These definitions constitute the result of a semantical analysis of the notions involved. The conceptual clarification developed here results in a classification of valid sentences of set theory that goes against the standard view that extensionality is not an existence assertion. 53 4 525 547 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP [2009/10751-8]