Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-24T02:09:21.490Z Has data issue: false hasContentIssue false

REPLY TO BJØRDAL

Published online by Cambridge University Press:  11 March 2011

ZACH WEBER*
Affiliation:
University of Melbourne
*
*UNIVERSITY OF MELBOURNE, SCHOOL OF HISTORICAL AND PHILOSOPHICAL STUDIES, UNIVERSITY OF MELBOURNE, PARKVILLE VIC 3010, AUSTRALIA. E-mail:zweber@unimelb.edu.au

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Reply
Copyright
Copyright © Association for Symbolic Logic 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

BIBLIOGRAPHY

Bjørdal, F. (2011). The inadequacy of a proposed paraconsistent set theory. Review of Symbolic Logic, 4(1), 106108.CrossRefGoogle Scholar
Brady, R. T. (1971). The consistency of the axioms of the axioms of abstraction and extensionality in a three valued logic. Notre Dame Journal of Formal Logic, 12, 447453.CrossRefGoogle Scholar
Brady, R. T. (1989). The non-triviality of dialectical set theory. In Priest, G., Routley, R., and Norman, J., editors. Paraconsistent Logic: Essays on the Inconsistent. Munich, Germany: Philosophia Verlag, pp. 437470.CrossRefGoogle Scholar
Chang, C. C. (1963). The axiom of comprehension in infinite valued logic. Mathematica Scandinavica, 13, 930.CrossRefGoogle Scholar
Dunn, J. M. (1987). Relevant predication 1: The formal theory. Journal of Philosophical Logic, 16, 347381.CrossRefGoogle Scholar
Gilmore, P. C. (1974). The consistency of partial set theory without extensionality. In Jech, T., editor. Axiomatic Set Theory. Providence American Mathematical Society, pp. 147153.CrossRefGoogle Scholar
Jech, T., editor. (1974). Axiomatic Set Theory. RI: American Mathematical Society.Google Scholar
Kremer, P. (1999). Relevant identity. Journal of Philosophical Logic, 28, 199222.CrossRefGoogle Scholar
Libert, T. (2005). Models for paraconsistent set theory. Journal of Applied Logic, 3, 1541.CrossRefGoogle Scholar
Mares, E. (1992). Semantics for relevant logic with identity. Studia Logica, 51, 120.CrossRefGoogle Scholar
Meyer, R. K., Routley, R., & Dunn, M. J. (1978). Curry’s paradox. Analysis, 39, 124128.CrossRefGoogle Scholar
Mortensen, C. (1995). Inconsistent Mathematics. Dordrecht: Kluwer Academic Publishers.CrossRefGoogle Scholar
Petersen, U. (2000). Logic without contraction as based on inclusion and unrestriced abstraction. Studia Logica, 64, 365403.CrossRefGoogle Scholar
Priest, G., Routley, R., & Norman, J., editors. (1989). Paraconsistent Logic: Essays on the Inconsistent. Munich, Germany: Philosophia Verlag.Google Scholar
Weber, Z. (2010a). Extensionality and restriction in naive set theory. Studia Logica, 94(1), 87104.CrossRefGoogle Scholar
Weber, Z. (2010b). Transfinite numbers in paraconsistent set theory. Review of Symbolic Logic, 3(1), 7192.CrossRefGoogle Scholar
Weber, Z. (To appear). A paraconsistent model of vagueness. Mind.Google Scholar
White, R. (1979). The consistency of the axiom of comprehension in the infinite valued predicate logic of łukasiewicz. Journal of Philosophical Logic, 8, 503534.CrossRefGoogle Scholar