Abstract
Kratzer (1981) suggests English (among other languages) exhibits five unary modal operators, creating a finer-grained graded scheme, and one binary modal operator (comparative probability) which is used to compare the possibility of two propositions. Kratzer gives formal definitions for each operator.
I propose a formal solution to an empirical flaw which arises from these definitions, namely that two very probable propositions are impossible to compare. My solution is attained by modifying the formal definition of comparative probability.
I argue that my modified definition better grasps our intuitive notion of “comparison”.