By the way, as someone who cares a lot about epistemics, I can't help but notice you seem to have misunderstood the meaning of the word counterexample. The wor

By the way, as someone who cares a lot about epistemics, I can't help but notice you seem to have misunderstood the meaning of the word counterexample. The word counterexample does not mean to counter an example with another example. It means to counter an idea with an example. I'll give an example of this. If someone says -3 is a counterexample to 5 that doesn't make sense. What they would need to say is that -3 is a counterexample to the claim that all numbers are positive. So when you say: > counterexamples to your example That doesn't make any sense to me, for much the same reason that someone telling me -3 is a counterexample to the idea of 5 doesn't make sense to me.