FIELD THEORY AND MODAL LOGIC BY SEMANTIC FIELDS TO MAKE UNCERTAINTY EMERGE FROM INFORMATION

Abstract

The new notion of semantic fields for modal logic is introduced, by which a degree of significance can be assigned to any possible world. Available information is the main source of the significance that shows the logical structure of the information itself. Thus, a guide is obtained to use information and also to discover and measure the uncertainty located in it. The worlds are useful for separating such information into its important parts. Any sentence is evaluated in worlds that are located at different levels of significance. An accessibility relation exists between the more significant and the less significant world. In this way, possible-worlds models of information are made possible using the semantic field. Uncertainty is given, normally, without any logic but with set theory. Thus, the semantic field is used to connect modal logic with set theory in order to obtain a better description of uncertainty.