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Synthese

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Hyperintensional logics for everyone

  • Igor SedlárEmail author
Article
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Abstract

We introduce a general representation of unary hyperintensional modalities and study various hyperintensional modal logics based on the representation. It is shown that the major approaches to hyperintensionality known from the literature, that is state-based, syntactic and structuralist approaches, all correspond to special cases of the general framework. Completeness results pertaining to our hyperintensional modal logics are established.

Keywords

Awareness logic Hyperintensionality Hyperintensional logic Hyperintensional modalities Impossible worlds Modal logic Non-Fregean logic Structured propositions 

Notes

Acknowledgements

This work was supported by the long-term strategic development financing of the Institute of Computer Science (RVO:67985807). The author is grateful to Pavel Cmorej, Marie Duží, Daniela Glavaničová, Miloš Kosterec, Pavel Materna, Jaroslav Peregrin, Ivo Pezlar and Jiří Raclavský for comments on drafts of this article.

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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institute of Computer ScienceThe Czech Academy of SciencesPrague 8Czech Republic

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