Vladimir_Nesov comments on Why Many-Worlds Is Not The Rationally Favored Interpretation - Less Wrong

15 Post author: Mitchell_Porter 29 September 2009 05:22AM

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Comment author: Vladimir_Nesov 29 September 2009 08:58:16PM *  2 points [-]

So far in the history of science, more beautiful theories tended to be more correct as well.

Theories are for a big part about insight, are tools for looking at the world, and simplicity is a major factor for their usability. What gets selected by usability doesn't necessarily give a good picture of truth.

Comment author: Christian_Szegedy 29 September 2009 10:47:17PM *  0 points [-]

Come on, you don't seriously believe that in physics simplicity always wins over correctness?

If you look at physicists, they work in both directions:

  • Make better approximations
  • Develop more complete theories

And physicists clearly distinguish between the above two.

Would you seriously believe that e.g. Kepler's model of planetary orbits survived rather than that of Ptolemy just because his was simpler or because it was closer to truth?

Comment author: Vladimir_Nesov 29 September 2009 10:58:53PM *  2 points [-]

Nothing wins over (the necessary extent of) correctness, but what wins within correctness is simple not because simplicity is necessary for correctness, but because it's easier to work with (and often easier to find too).

Comment author: Christian_Szegedy 29 September 2009 11:36:15PM *  4 points [-]

There is a good rational reason why simpler theories are more probably true: they are less probably tuned for the already existing evidence.

For example: Even if Ptolemy's circles made predictions that were equally predictive within that era's achievable precision of measurement. Those circles were tailored for that specific situation. Even if Kepler's law was quite ad hoc, Its simplicity could indicate that it had more substance, since it was not tuned to the given evidence in such a cumbersome way.

Comment author: Douglas_Knight 30 September 2009 03:51:32AM 0 points [-]

Could you give an example of something simple that won over something equally correct, because it was easier to work with or find?

Comment author: Stuart_Armstrong 30 September 2009 11:55:10AM 0 points [-]

Special relativity, winning over the add-hoc rules of time dilation and length/mass transformations that were known beforehand (and essentially predicted the same thing).

Comment author: Douglas_Knight 02 October 2009 12:37:26AM 0 points [-]

Special relativity is an example of an equally correct theory winning over an earlier, somewhat entrenched theory, but I'm not sure how it won. When it first appeared, many people declared it obvious, some claiming that this was good, some bad. It was still unpopular when Einstein won the Nobel prize. One possibility is that it won because of his eminence, eg, because of the photo-electric effect, which is an extremely poor reason. The obvious answer is that it won because of GR. I guess that probably constitutes an example of winning because of usability.

I'm a little concerned about how we draw lines between theories, but I suppose that would apply to any answer to the question.

Comment author: PhilGoetz 02 October 2009 01:31:23AM *  0 points [-]

It was the best theory to explain the results of the Michaelson-Morley experiments.

Comment author: Douglas_Knight 02 October 2009 02:38:03AM 0 points [-]

Saying that relativity is "the best theory" is not very different from saying that it won. Stuart says that it won because it was simpler than Lorentz contractions. It was not widely believed to be the best theory in 1915. What happened between then and now? Was it obviously better and the old guard just had to die? Or did something else that happened, like the Nobel or GR change people's minds?

I'm not sure that Lorentz's transformations were more ad hoc than Einstein's, though Minkowski's were a definite improvement. If Einstein's principle lead to Minkowski's work, that's good, and meets Vladimir's usability criterion; and probably counts as simplicity.

Comment author: Stuart_Armstrong 02 October 2009 05:43:47PM 1 point [-]

Lorentz contractions are special relativity. My understanding was that Einstein's great role was unifying and putting under one roof the various add-hoc results.