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Perhaps someone else more knowledgeable can chime in -

Isn't true randomness unverifiable? In other words, it seems (to me) that there is no body of evidence that would verify that a particular event was "caused" by (i.e. was the result of) true randomness (as opposed to the result of hidden events/variables)



In the particular context of this post, it isn't. The local hidden variable theory is conclusively wrong. Not sure if there are recent results about nonlocal hidden variables, but last time I checked we couldn't say anything about that.

There's a great (and pedagogical enough) discussion of this at the back of Griffith's Introduction to Quantum Mechanics




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