You can always turn a claim into a logically equivalent claim of the non-existence of any counterexamples.
“For every instance, e equals mc²”
is logically equivalent to
“There is no instance where e does not equal mc².”
That combined with your belief that claims of non-existence can't be held with any degree of certainty means you believe that no claim can ever be held with any degree of certainty. Which is not a very interesting insight.
This is an equally unsupportable claim, though. This requires enumeration of the entire state of the universe, an impossibility. This is just the standard swan problem (https://en.wikipedia.org/wiki/Black_swan_theory). What you have is a model you're very confident in without the deductively-rational basis your diction implies.
People should really read more hume if they're going to weigh in on philosophy of science.