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Thoroughly relativistic perspectives. (English) Zbl 1248.03038
Summary: 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 non-normal modal logic, supports a thoroughly relativistic perspective.
MSC:
03B45 Modal logic (including the logic of norms)
03A05 Philosophical and critical aspects of logic and foundations
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