Earlier quoted context omitted.
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The same is true of every other boson, except arguably photons in the classical limit (e.g. you can put a multimeter on an antenna and detect them "non-probabalistically"). The Higgs detection is sound. A quick check of wikipedia says 5.9 sigma. Good enough for me, anyway.
I think I get what you mean, but we should be clear—every measurement is probabilistic, right? We can measure photons with low enough inaccuracy that we don’t bother quantifying the probability that they might not exist. But, it is actually on some philosophical level a difference of degree, not type. I’m pretty sure.