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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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
- Mathematics Subject Classification (1991): 03B45, 68T27