For me, one of the better uses for n-valued logics is it allows
for more discrete values in electronics other than two.
Applications would be areas such as analog to digital, as analog
is infinite, digital has discrete categories.
So the difference? How the wires are hooked up and whether it's
a knob with infinite tunability or lots of buttons. tongue
emoticon
It can allow for faster math processing as there would be fewer
steps, even if the electronics its processing through are more
complicated.
How does it different from probabilities? Well, I suppose it's
like the differences between the various statistical probability
methods and physics-inspired probability methods like local
attractors (Lorenz) or self-organizing systems and such, sticky
bits, or my favorite, the stuff of Wolfram with the little
algorithms building themselves together, making the probability
come from the inside moving out.
All of which are still maps but they can create some interesting
territories tongue emoticon