Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Construction of universal modal worlds based on hyperset theory

  • 26 Accesses

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.

This is a preview of subscription content, log in to check access.

Author information

Additional information

Received: 21 August 1995

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation

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