The
actual science of logic is conversant at present only with things either certain, impossible, or entirely
doubtful …
(almost)
James
Clerk Maxwell
Therefore the true logic for this
world is the calculus
of probabilities …
In a categorical
representation, each assertion must fall into one of three categories:
necessarily true, impossible, or “who knows”.Thisforces us into a very
crude approximation of our knowledge.We can either write down a meaningful universal, which is typically
false.Or a true universal, which is
typically useless.We need something
that expresses the finer shades of possibility and probability.