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Jan 14, 2017 at 20:57 comment added user130529 At first I would rather say theoretical rather than philosophical, but as we have no certitude on the theory itself, it may very well become philosophical, so I concede you the point.
Jan 14, 2017 at 20:50 comment added rob @claudechuber Those of us in the precision measurements business have separate discussions about the width of a distribution ("uncertainty in $p$") and about the precision with which the central value is known ("uncertainty in $\left<p\right>$"). Whether there's a deterministic value for the parameters of a probability distribution "somewhere down there" is a philosophical discussion too complex for these comments, but I tend to think there isn't.
Jan 14, 2017 at 20:40 comment added user130529 Indeed there is an uncertainty on the wavelength, but not on the mean value of its probability density which is 100% deterministic. The question could be reworded in that direction... FWIW
Jan 14, 2017 at 20:22 history answered rob CC BY-SA 3.0