Probable Worlds
Probabilistic semantics:
n
A set of possible worlds
n
Each world associated with a probability
hard
smart
A
hard
smart
B
hard
smart
C
hard
weak
A
hard
weak
B
hard
weak
C
easy
smart
A
easy
smart
B
easy
smart
C
easy
weak
A
easy
weak
B
easy
weak
C
But, unlike the categorical case, we can also ascribe likelihoods to each world, by associating each with a probability, allowing us to make it improbable but not impossible for a smart student to get a C.