Re: progress in understanding
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Posted by pelastration on September 03, 2003 at 04:05:01:
In Reply to: Re: progress in understanding posted by JohnCauthen on September 02, 2003 at 22:27:51:
Yes and no. Probablity must be interpreted correctly, and we may not make conclusion that probablity doesn't claim. That post was about a confusion that appears in Sciences when talking about uncertainty. It was reaction on my post where I linked to: Cfr. on multiple EPR experiments: GeneralInterest/Harrison/BellsTheorem/BellsTheorem.html> : Quote: There is another objection to the experimental tests that, at least so far, nobody has managed to get totally around. We measure a spin combination of, say, zero degrees and 45 degrees for a collection of electrons and then measure another spin combination, say 45 degrees and 90 degrees, for another collection of electrons. In our classroom example, this is sort of like measuring the number of men students whose height is not over 5' 8" in one class, and then using another class of different students to measure the number of students whose height is over 5' 8" but do not have blue eyes. The difference is that a collection of, say, a billion electrons from the source in the correlation experiments always behaves identically within small and expected statistical fluctuations with every other collection of a billion electrons from the source. Since that fact has been verified many many times for all experiments of all types, we assume it is true when we are doing these correlation experiments. This assumption is an example of inductive logic; of course we assumed the validity of logic in our derivation." - end of quote. My comment on that was: "Thus a collection of electrons (sent of time x) has another "spin combination" than another collection of electrons (sent at time y)." So conceptual there is a problem: why has each collection another spin? but statistical analysis will show no problem. So the concept is not important? Uncertainty in relation to measuring is OK (as an inventor yourself you know that and you have seen many manufacturing limits related to machinery limits and material limits when you were 'playing' with tennis- racquets ) , but making from that measuring-problem a projection on "concepts" is quiet questionable. It's like saying as an tennis-racquet inventor to the tennis manufacture: This is the concept design in general but I don't know exactly how you must fix the strings 10 to 15 to that part of the tennis frame ... so please start production and finish it ... and start to deliver to Nike". Osher pointed out that : "There are two meaning of Uncertainty, (1) error, like x2 - x1 or dx, and (2) standard deviation or its square variance which is the only technically correct definition used by mathematical probability and statistics people. Error itself is replaced by standard deviation precisely because it is so fluctuating (negatively and positively) that it often cancels itself out or else overexaggerates in random directions, but standard deviation isn't a major tool for engineering or for that matter for physical laws because most physical laws relate VARIABLES (even RANDOM VARIABLES) rather than their statistical population standard deviations or population means. Einstein, Schrodinger, Bohr, Heisenberg, all made the mistake of not understanding that."
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