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- W4223513352 abstract "In classically based modal logic, there are three common conceptions of necessity, the universal conception, the equivalence relation conception, and the axiomatic conception. They provide distinct presentations of the modal logic S5, all of which coincide in the basic modal language. We explore these different conceptions in the context of the relevant logic R, demonstrating where they come apart. This reveals that there are many options for being an S5-ish extension of R. It further reveals a divide between the universal conception of necessity on the one hand, and the axiomatic conception on the other: The latter is consistent with motivations for relevant logics while the former is not. For the committed relevant logician, necessity cannot be the truth in all possible worlds." @default.
- W4223513352 created "2022-04-15" @default.
- W4223513352 creator A5000723552 @default.
- W4223513352 date "2022-03-08" @default.
- W4223513352 modified "2023-09-25" @default.
- W4223513352 title "Varieties of Relevant S5" @default.
- W4223513352 doi "https://doi.org/10.12775/llp.2022.011" @default.
- W4223513352 hasPublicationYear "2022" @default.
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