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Tweakers' Asylum Tweaks for systems, rooms and Do It Yourself (DIY) help. FAQ. |
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In Reply to: RE: The psychology of change... posted by antigrunge on August 30, 2012 at 10:30:51:
"Lest you redefine the laws of logic , 'A', 'B' and 'C' in your assertion have to be defined as multifactorial compromises, each. If you then start looping, I suggest to try 'D'."
There is nothing illogical here. Transitivity is not an axiom, rather it is a postulate, one of the defining characteristics of a partial order. The specific example is not a partial order. There are no directed cycles in a partial order. Human preference is not a partial order.
The axioms of equality do not apply to auditory perception, and this can be an even greater problem. Perceptually, A = B for a listener if the two sounds can not be discriminated. It is possible that A = B and B = C and yet A not= C. A simple example would be a listener who could discriminate a 1 dB difference in volume, but fail to discriminate a 0.5 dB difference. Here B would be 0.5 dB louder than A and C would be 1.0 dB louder than A. The implications for good sound are alarming, as a series of improvements to individual components in a system might be rejected as irrelevant while there could have been a significant improvement if all the possible improvements had been chosen.
As a general principle if one is stuck at a local optimum, then one may be able to find a better global optimum by jumping away from the local optimum, but this can be a difficult process due to exponential explosion of the possibilities. Non-linear systems (the real world) are not "logical". Wishing does not make it so.
Tony Lauck
"Diversity is the law of nature; no two entities in this universe are uniform." - P.R. Sarkar
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Follow Ups
- Logical... - Tony Lauck 06:58:32 08/31/12 (2)
- RE: Logical... - antigrunge 07:10:34 08/31/12 (1)
- RE: Logical... - Tony Lauck 07:13:27 08/31/12 (0)
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