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Vladimir_Nesov comments on What independence between ZFC and P vs NP would imply - Less Wrong Discussion
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...And we are back to square one, the unfalsifiability of an interpretation, which makes the adepts feel good about their "knowledge" without running any risk of it being shattered.
If you suppose "interpretation" to be a distinction that can't be settled by observation, and simultaneously that any distinction must be settled by observation, then it's not clear what you're objecting to. These posts seem relevant: Belief in the Implied Invisible, You're Entitled to Arguments, But Not (That Particular) Proof.