Notre Dame Journal of Formal Logic

Thoroughly Relativistic Perspectives

Mark Ressler


This article formulates five relative systems to evaluate the charge of self-refutation with regard to global relativism. It is demonstrated that all five of these systems support models with at least one thoroughly relativistic perspective. However, when these systems are extended to include an operator expressing the valuation of statements in a perspective, only one relative system, based on a nonnormal modal logic, supports a thoroughly relativistic perspective.

Article information

Notre Dame J. Formal Logic, Volume 53, Number 1 (2012), 89-112.

First available in Project Euclid: 9 May 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03B60: Other nonclassical logic
Secondary: 03H10: Other applications of nonstandard models (economics, physics, etc.)

relativism nonnormal modal logic self-refutation


Ressler, Mark. Thoroughly Relativistic Perspectives. Notre Dame J. Formal Logic 53 (2012), no. 1, 89--112. doi:10.1215/00294527-1626545.

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