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Construction of universal modal worlds based on hyperset theory

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Abstract.

Knowledge modal formulas are interpreted by a universal modal world in the hypersets universe [A]. This remedies the limitation of the interpretation of knowledge formulas by a tower of modal worlds in the well founded universe [F], where each world can interpret only a portion of knowledge modal formulas.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan. e-mail: tujisita@math.sci.hokudai.ac.jp , , , , , , JP

    Toru Tsujishita

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  1. Toru Tsujishita
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Received: 21 August 1995

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Tsujishita, T. Construction of universal modal worlds based on hyperset theory. Arch Math Logic 38, 1–18 (1999). https://doi.org/10.1007/s001530050113

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  • DOI: https://doi.org/10.1007/s001530050113

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