 The cell \(\kappa^{-1}(\infty)\) is the set of possibilities which are maximally disbelieved. The cell \(\kappa^{-1}(n)\) is the set of possibilities which are disbelieved to degree \(n\). Finally, \(\kappa^{-1}(0)\) contains the possibilities which are not disbelieved (although this does not mean that they are believed). Except for \(\kappa^{-1}(0)\), the cells \(\kappa^{-1}(n)\) may be empty. Since one cannot consistently disbelieve everything, the first cell must not be empty. 