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.