OwenBiesel comments on ToL: Foundations

[OwenBiesel]

Does $I\left(w\right)$ mean the set of propositions in $I$ that are true in world $w$? In other words, does $I\left(w\right)$ equal $\{A\in I:w\in A\}$?

Or does the notion of which propositions are possible to know also depend on which world you’re in? (Could it be that $A\in I\left(w\right)$ and $w^{\prime }\in A$ but $A\notin I\left(w^{\prime }\right)$?)

[Hazard]

In other words, does I(w) equal {A∈I:w∈A}?

This one!