CFP: CfP SI KRITERION: 10 Years of the set-theoretic multiverse

CALL FOR PAPERS Special Issue ``10 Years in the Multiverse: Reflections and perspectives for the set-theoretic multiverse'' KRITERION - Journal of Philosophy Guest Editor: Matteo de Ceglie (University of Salzburg) Presentation This is a call for papers for a KRITERION special issue, following this year's conference in Salzburg on the same topic. The set-theoretic multiverse has been both philosophically and mathematically explored for 10 years. Ten years ago, Hamkins (2012) changed the landscape of the foundations of mathematics, by introducing a novel conception that tried to clarify some ambiguous notions in current set theoretic practice. In particular, he provided a revolutionary interpretation for the practice of forcing: a multiverse of different set-theoretic universes. Such an idea immediately sparked an intense debate in the philosophy of set theory and the foundations of mathematics. The aim of this special issue is to explore and assess this first decade in the set-theoretic multiverse, as well as proposing new research avenues for the next one. We invite philosophers and/or mathematicians to explore recent developments and assess the renewed relevance of the set-theoretic multiverse, either as a philosophical object of study or a mathematical tool. Topics of interest include, but are not limited to the following ones: - New set-theoretic multiverse characterisations, both from the mathematical and philosophical perspective; - New arguments in favour and against of both the set-theoretic multiverse and the single universe perspective; - New mathematical results in neighbouring areas, like the modal logic of forcing, set-theoretic geology, etc.; - Novel criticism and assessment of set-theoretic multiverses already proposed in the literature; - General arguments on the debate between universism and multiversism; - The set-theoreotic multiverse and the foundations of mathematics. Practical Information The special issue will include papers presented at the related workshop in Salzburg (https://www.sbg.ac.at/sophia/SOPhiA/2022/languages/de/contribution.php?slotrow=14&slotcolumn=4) on the same topic (both from invited and selected speakers), as well as original submissions. All papers will undergo double-blind peer-review. The papers should be submitted through ScholarOne Editorial Manager (https://mc.manuscriptcentral.com/kriterion), by selecting ``Special Issue: 10 Years in Multiverse'' as the article type. The papers should not be longer than 8000 words (ca 20 pages) including notes and references. Submissions should include a title page containing the author information as well as the paper's abstract and keywords. Formatting instructions can be found there: https://www.degruyter.com/journal/key/krt/html#submit (under ``Guidelines for Authors''). Deadline for submission: March. 31, 2023. For more information, please contact Matteo de Ceglie (decegliematteo[at]gmail[dot]com).