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Demystifier said:What does it mean? Are 8 and -1 also both there in 7? Is any number there in any other number?
Then you are missing the entire point of my original question to you if something as direct as this is "mystifying" you.
There are two separate points here that needed to be repeated:
1. Your claim that "neither x nor y" is identical to "both x and y".
2. That the mathematical equation representing the superposition of state such as [itex]\psi = a_1|x> + a_2|y>[/itex] can accurately be described as "neither x nor y".
What you have been trying to argue so far with these number games is #1. This is a logical fallacy. Those 2 statements are not identical, no matter what kind of "interpretation" you wish to use. Try telling someone that A is neither in that room, nor in this room. Do you think that is the same as saying A is both in this room and in that room? It is not!
As for #2, I have already pointed out the weirdness by bringing out examples using the H2 molecule and the double slit. If that equation implies "neither x nor y", then the system does NOT have the property of x and y. When we apply that to the double slit, we are then saying the particle did not pass through the left slit nor the right slit. Yet, we detect a particle on the other side of the slit. How did that happen? By magic? This scenario creates MORE problems than saying the particle passed through BOTH slits. At least there' now no question on why we would detect the particle on the other side.
Again, I asked you for sources that actually adopts your wording and interpretation. I had presented to you my sources out of respect for your knowledge in such matters, rather than just claim something without justification. I would hope that you'd reciprocate in similar manner.
Zz.