PeterDonis said:
The only way to avoid this kind of confusion is to taboo the words and go back to the math.
Reading the Lev Vaidman piece in more detail, it seems to me that the MWI walks a fine line between a rigorous all-encompasing view of the universe based on QM and a philosophical investigation that (IMHO) defies rigorous analysis using QM. To take an example of the cat. Vaidman makes the point himself that a cat is not well-defined. But, also, is the state of the cat in terms of any macroscopic property really an observable in any QM sense?
In particular, do we have an observable with the two outcomes of alive and dead? Or, do the terms "cat" "alive" and "dead" simply make no sense within QM? Forensic science can tell how long an animal has been dead, so do you have a "dead for time t" outcome? Clearly the state of a cat that has just died is very different from the state of a cat that has been dead for a week!
I know that Vaidman is an expert in his field, but I personally can't help feeling his whole edifice is based on a potentially false premise: that everything can be understood directly from the laws of particle physics.
As a contrast, I was watching one of the Feyman lectures recently and he said:
"The understanding [of the real world] is not prima facie available by knowing about the laws ... The laws of physics do not have a direct relevance to the experience, but the laws are abstract from the experience to varying degrees ... There are often great distances between the detailed laws and the main aspects of real phenomema ... One does not by knowing all the fundamental laws as we know them today immediately obtain an understanding of anything much."
Brilliant stuff! and I could quote more. My interpretation of this is that in order to understand a cat, you need QM to explain the behaviour of the atomic nucleii, chemistry to understand the bonding of molecules, cell biology to understand the organic processes within the cat, a medical understanding of the cat's organs etc,, which eventually leads to an understanding of the cat and a method of ascribing "alive" or "just died" or "dead for a week" to a cat.
But, IMHO, as soon as one writes down ##\Psi_{cat}## for the wave-function of a cat, one is potentially misapplying the laws of particle physics and the concept of the wave-function for a cat is on very shaky ground.
That's not to say that the alternatives do not have their flaws, but I find the MWI presented by Vaidman to be based on the unsatisfactory premise that the laws of particle physics explain everything.