http://lesswrong.com/lw/ph/can_you_prove_two_particles_are_identical/
Is physics taking over philosophy’s territory? Is this beat-down on philosophers fair? If philosophy still has a necessary place within physics, what is it?
You can read the full post and further debate in the commentary section; the excerpts quoted here are the crux of the matter but it gets a bit more in detail. A few interesting points from the comments:
Is physics taking over philosophy’s territory? Is this beat-down on philosophers fair? If philosophy still has a necessary place within physics, what is it?
"I'm sorry, this isn't a question of physics, it's a question of epistemology. To believe that all aspects of two particles are perfectly identical, requires a different sort of assurance than any experimental test can provide. Experimental tests only fail to establish a difference; they do not prove identity. What particular physics experiments you can do, is a physics question, and I don't claim to know that. But what experiments can justify believing is an epistemological question, and I am a professional philosopher; I expect to understand that question better than any physicist who hasn't studied formal epistemology."
And of course, Bob is wrong.
Bob isn't being stupid. He'd be right in any classical universe. But we don't live in a classical universe.
And the flaw in Bob's logic? It was a fundamental assumption that Bob couldn't even see, because he had no alternative concept for contrast. Bob talked about particles P1 and P2 as if they were individually real and independently real. This turns out to assume that which is to be proven. In our universe, the individually and fundamentally real entities are configurations of multiple particles, and the amplitude flows between them. Bob failed to imagine the sequence of experimental results which established to physicists that this was, in fact, how reality worked.
You can read the full post and further debate in the commentary section; the excerpts quoted here are the crux of the matter but it gets a bit more in detail. A few interesting points from the comments:
Yes, that's the part where the observed universe is a lie.IL: But the experiment doesn't prove that the two photons are really identical, it just proves that the photons are identical as far as the configurations are concerned. The photons could still have tiny tags with a number on them, but for some reason the configurations don't care about tags.
I have difficulty expressing in words exactly how fundamental is the notion of configurations. Now that we know about them, our old ideas about particles have gone away, or rather, been made strictly emergent in configurations... what you just said is the same probability as discovering that apples aren't made of atoms after all, but are in fact fundamental apples.
The configurations are reality, the underlying fundamental from which the appearance of individual particles emerges; they are not something tacked on.
I don't think that the problem is that it is impossible with effort and training to learn to recognize one's blind spots a-priori. Rather, I think that philosophy attracts many kinds of people, only one of which is the type of person who has a talent that he wants to develop in recognizing his blind spots. Philosophy then provides, to different extents in different places and times, some training in this skill and some reward of status for the development of it. Currently, it seems to me that neither Analytic nor Continental philosophy provides significant training or status relating to this as opposed to other skills. More particularly, both seem to provide far less such training or reward in status than contemporary theoretical physics, theoretical computer science and probably some parts of math.
The main problem, it seems to me, relates to this issue of rewarding with status. In physics, ultimately status goes to those who make the correct predictions enabling correct beliefs to actually attain dominance in the field even if they are counter-intuitive (or too intuitive to qualify as 'deep'), while in philosophy, without experiments, correct beliefs always exist at a very low incidence at equilibrium, far less popular or 'official' than clever descriptions of those cognitive illusions such as empty labels http://lesswrong.com/lw/ns/empty_labels/ (in this case, the particle without the mathematical relationships it participates in) that act as attractors to human naive ontology. As a result, the average physicist is better at this type of philosophy than the average philosopher is, while the average highly esteemed physicist is astronomically better at it than the average highly esteemed philosopher.