Nonstandard Semantics for Modal Logic and the Concept of a Logically Possible World

The idea that a logically possible world is identical with or can be described as a maximally consistent proposition set is a fundamental assumption of the conventional model set theoretical semantics for modal logic. Although the concept is formally unproblematic, philosophically there are serious difficulties in the standard definition of a logically possible world. I want to raise philosophical objections to the model set theoretical concept of a logically possible world, and then sketch a proposal for modal semantics that strikes at the root of the problem in order to avoid these limitations. The conflict to which I call attention has recently been discussed as a dispute between modal realism versus modal actualism. It will quickly emerge that I am a modal actualist and that I oppose modal realism.