PP-2017-13:
Bezhanishvili, Guram and Bezhanishvili, Nick and Lucero-Bryan, Joel and van Mill, Jan
(2017)
*A new proof of the McKinsey-Tarski Theorem.*
[Pre-print]

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## Abstract

It is a landmark theorem of McKinsey and Tarski that if we interpret modal diamond as closure (and hence modal box as interior), then S4 is the logic of any dense-in-itself metrizable space. The McKinsey-Tarski Theorem relies heavily on a metric that gives rise to the topology. We give a new and more topological proof of the theorem, utilizing Bing's Metrization Theorem.

Item Type: | Pre-print |
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Report Nr: | PP-2017-13 |

Series Name: | Prepublication (PP) Series |

Year: | 2017 |

Subjects: | Logic Mathematics |

Depositing User: | Nick Bezhanishvili |

Date Deposited: | 15 Oct 2017 13:56 |

Last Modified: | 19 Oct 2017 16:06 |

URI: | https://eprints.illc.uva.nl/id/eprint/1565 |

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