On 7/4/2021 6:33 PM, Tomas Pales wrote:

On Monday, July 5, 2021 at 2:50:48 AM UTC+2 Brent wrote:


    On 7/4/2021 5:30 PM, Tomas Pales wrote:
    For example, A happens in 16 worlds and B in 9 worlds. Or in
    general, the proportion of worlds where A happens to worlds where
    B happens is 16/9.

    But it's an additional axiom that this is a probability measure
    and the split is per the Schroedinger amplitudes.

Calculating probabilities by counting objects in a collection from which a random selection is made is not an additional axiom; it's the definition of probability.

But there's no random selection involved unless you make it a postulate.  Otherwise it's just a collection.  And if there's a selection (by nature) then why not a selection of one that is realized?

Brent


In MWI the probabilities must be calculated by counting the branches because the selection is made from a collection of branches. We know that the probabilities are such as given by the Born rule, either by logical necessity (as you say) or from observational evidence, and so the proportions of the numbers of branches are the same as probabilities given by the Born rule.

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