Discovered a quick way to illustrate the value of ternary over binary logic. Think of a coin toss. Although it might take millions of times, there is a tiny possibility that the coin could land on its edge. What do you call this result, in the binary world of heads or tails?
This is a crude example (and it can be described with binary logic if you add one layer of abstraction), but it effectively shows how ternary logic can explain things more holistically than binary. It doesn't convey the true nature of the "third pole" either, but it does give a place to introduce that topic.
A better example would involve reference to infinity. It took me a long time to understand how infinity is embedded in ternary logic but excluded from binary. Seeing how prevalent it is is in quantum theory, I'm convinced our understanding of "probability" can be expanded to do this, but that is outside the scope of a simple example. Nevertheless, I'm pleased as punch to have a simple way of opening a conversation on this subject to others now.