Law of non-contradiction (“LNC” to its friends)

On Uncommon Descent, Barry Arrington asks:

Let’s clear up this law of noncontradiction issue between StephenB and eigenstate once and for all. StephenB asks eigenstate: “Can the planet Jupiter exist and not exist at the same time in the same sense? That’s a “yes or no” question eigenstate. How do you answer it?

For some reason, Eigenstate’s response has gone astray, so here it is, as cross-posted elsewhere:

Eigenstate:

Theoretically, yes. In practice, the probabilities are so vanishingly small it’s indistinguishable from no.

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