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  1. PolyHedral

    The flaw in the argument that feminism is bad because it ignores men's issues

    I know, and hurrah, that problem has lessened. But, "Don't worry, we got a similar problem on the way to being fixed and it only took us 40 years," is hardly consolation to anyone facing the problem today, regardless of gender. "more proactive on their own behalf?" So, what, all or most of the...
  2. PolyHedral

    The flaw in the argument that feminism is bad because it ignores men's issues

    No, but that doesn't make the meme any better. In fact, it makes it worse - people don't take the idea of males being victims of e.g. domestic violence (which seems to be the main one) seriously enough to object to it.
  3. PolyHedral

    Einstein and "spooky actions"

    Because every vector can be represented by a sum of basis vectors. You may want to reread that post - the reference to [0,52] is not the vector, but the space the vector is defined on. That was an off-by-one error, and I edited it out the post. (A 52D vector in projective Hilbert space does have...
  4. PolyHedral

    Einstein and "spooky actions"

    Possibly, but nothing you quoted appear to contradict me. If we just wanted to represent each card as "a vector," sure, we could just have a 1D vector in the space [0,52], but that doesn't have the properties we want. The framework of quantum mechanics says that the vectors representing our...
  5. PolyHedral

    Einstein and "spooky actions"

    The reason we're talking about cards as vector spaces is because I was trying to model picking a card off of a deck as a quantum mechanical operation.
  6. PolyHedral

    Einstein and "spooky actions"

    That's a non-sequitor. A linear combination of vectors is a vector - I never claimed the elements were vector spaces in themselves. And we have 52 basis vectors because we're representing a state that returns 52 different values when measured. I think that additionally implies that the vectors...
  7. PolyHedral

    Einstein and "spooky actions"

    1) If any set of basis vectors has 52 elements in it, as this one does, that implies the space is 52-dimensional. 2) So? We already know a basis exists. 3) I know that. This is the same Hilbert space you do QM in - complex projective function space. The inner product is the same as it always...
  8. PolyHedral

    Einstein and "spooky actions"

    I don't think so, since there's only one set of particles/energies involved, they're just in a really complicated superposition.
  9. PolyHedral

    Einstein and "spooky actions"

    Also, How on earth did anyone square this with the conservation laws? :p
  10. PolyHedral

    Einstein and "spooky actions"

    Yes you do - you know that the space they're in is a Hilbert one (by context) and that it is 52-dimensional (because otherwise there couldn't be 52 distinct basis vectors.) :p
  11. PolyHedral

    Einstein and "spooky actions"

    I clearly picked the wrong notation. c_i is supposed to stand for the basis vector representing the ith card of the deck.
  12. PolyHedral

    Einstein and "spooky actions"

    If you have a quantum-shuffled deck of cards, then we're saying that thesuperposition you get is all the information you can possibly have about the deck. When you compute probabilities, this is correct and we can say it's0 correct because of its statistical sucess in predicting the outcomes of...
  13. PolyHedral

    Einstein and "spooky actions"

    I'm not following. The sentence "if we assume it works because of the statistical success then we're acknowledging we didn't have the information we claim" would only appear to be true if we assume that reality is deterministic.
  14. PolyHedral

    Einstein and "spooky actions"

    I mean that there's a one-to-one correspondance between a physical system and a blob, where there is a one-to-many correspondance between blobs and wavefunctions. It is a "semantics" issue, but that's important in maths. :p Also, perhaps it'd be easier to work out when we're getting hung up on...
  15. PolyHedral

    Einstein and "spooky actions"

    Oops, that's not the term usually used. I meant you can have one-to-one mappings between equivalence classes.
  16. PolyHedral

    Einstein and "spooky actions"

    It is if you define your equality operator correctly. :D
  17. PolyHedral

    Einstein and "spooky actions"

    Sadly, the system will not let me frubal that post. :p Also, it should be noted that reality (as distinct from any given model of reality) is a black box. It produces data, and the entire purpose of science as a discipline is to build some description that fills in the black box and predicts...
  18. PolyHedral

    Einstein and "spooky actions"

    ...They don't? I would've thought the computational complexity and stability of, say, different weather models would be quite important. (That doesn't tell you anything about reality mind you...) That's the sign of a good model, though - when you deductively derive conclusions, and they turn...
  19. PolyHedral

    Einstein and "spooky actions"

    I did specify the context - Newtonian gravity, where the law of gravity is F=Gmm/r². The fact that the entire theory has been superseded doesn't change how the concepts within the theory are related. I'm not talking about how the relationship was produced originally, but how it relates to the...
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