Modern Faces of Filtration

Authors
Publication date 2023
Host editors
  • F.L.G. Faroldi
  • F. Van De Putte
Book title Kit Fine on Truthmakers, Relevance, and Non-classical Logic
ISBN
  • 9783031294143
ISBN (electronic)
  • 9783031294150
Series Outstanding Contributions to Logic
Pages (from-to) 23-61
Publisher Cham: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract The filtration method for proving decidability in a focused minimal manner is a highlight of modal logic, widely used, but also posing a bit of a challenge as to its scope and what makes it tick. In this paper, we bring together a number of modern perspectives on filtration, including model-theoretic and proof-theoretic ones. We also include a few more unusual recent connections with dynamic logics of model change and logics of questions and issues. Finally, we analyze where the filtration method fails in full first-order logic, and what it still has to say there.
Document type Chapter
Language English
Published at https://doi.org/10.1007/978-3-031-29415-0_3
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