From its earliest days nearly a century ago, quantum mechanics has proven itself to be a tremendously accurate yet intellectually unsatisfying theory to many. Not the least of its problems is that it is a theory about the results of measurements. As John Bell once said in introducing the concept of `beables', it should be possible to say what is rather than merely what is observed.This paragraph describes how Physics forked into hard science and philosophical beable-babble.
I am a logical positivist. So I have a simple attitude when you start talking about things that cannot be observed, then you as might as well be talking about ghosts. If there is no scientific observational way of saying that you are right or wrong, then it is just opinion, or philosophy, or religion, or some other immaterial belief. It is like you telling me that you like paintings of water lillies. I will not usually even have an opinion as to whether you are right or wrong, because it is not clear that any such opinion makes any sense.
Bohr, Heisenberg, and other creators of quantum mechanics were positivists.
At some point positivism fell out of fashion, and hardly anyone advocates anymore. But this beable stuff has gone nowhere. No good physics has resulted from beable theory.
The paper tells this story:
When I was in graduate school in Scotland, I was told the following parable by my advisors. An economist, a mathematician, and a logician were on a train traveling north. Just after they passed the Scottish border they noticed a single cow standing in a field. The economist remarked, "That cow is brown. All cows in Scotland must be brown." The mathematician replied, "No, one cow in Scotland is brown." The logician quietly but firmly muttered "No, one side of one cow in Scotland is brown." There are many versions of this parable involving a variety of professions and there are any number of lessons to be taken from it. It is usually meant as a dig at one of the particular professions that is included, especially when told by a member of one of the other professions. At the heart of the parable, though, is an open question: how much can we reasonably infer from a given observation?The author thinks that the mathematician is the most reasonable of the three.
At least cow color can be measurement. Many of the arguments about foundational quantum mechanics involves things that cannot be measured.