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Interpretations of Modality: Epistemic Logic and Peirce’s Logic of Ignorance

Authors: Ralf Müller;

Interpretations of Modality: Epistemic Logic and Peirce’s Logic of Ignorance

Abstract

It has been recognized that Peirce’s gamma part of his Existential Graphs (EG) contains that kind of treatment of modal logic that is today called model-theoretic. Peirce is even supposed to have anticipated possible-worlds-semantics (PWS).1 In this paper I want to explore how close he got to our contemporary semantics for modal logics and if the differences one finds can only be seen as evidence of an archaic and outdated understanding of logical matters or if they have a hidden potential that might be fruitfully applied in the discussions of problems within the now dominant interpretation of logic.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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