PP-2013-04: Moving up and down in the generic multiverse

PP-2013-04: Hamkins, Joel David and Löwe, Benedikt (2013) Moving up and down in the generic multiverse. [Report]

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We investigate the modal logic of the generic multiverse which is a bimodal logic with operators corresponding to the relations "is a forcing extension of" and "is a ground model of". The fragment of the first relation is the modal logic of forcing and was studied by the authors in earlier work. The fragment of the second relation is the modal logic of grounds and will be studied here for the first time. In addition, we discuss which combinations of modal logics are possible for the two fragments.

Item Type: Report
Report Nr: PP-2013-04
Series Name: Prepublication (PP) Series
Year: 2013
Uncontrolled Keywords: forcing; ground model; multiverse; modal logic
Subjects: Logic
Depositing User: Benedikt
Date Deposited: 12 Oct 2016 14:37
Last Modified: 12 Oct 2016 14:37
URI: https://eprints.illc.uva.nl/id/eprint/476

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