We consider extending the modal logic KD45, commonly taken as the baseline system for belief, with propositional quantifiers that can be used to formalize natural language sentences such as ...

A logic with normal modal operators and countable infinite conjunctions and disjunctions is introduced. A Hilbert's style axiomatization is proved complete for this logic, as well as for countable ...

In the English as in most but not all languages (i.e. Chinese) number can be extracted from the noun leaving a lexical-propositional form of the noun. From book and books we get object predicate: 1.