On Fri, Jan 10, 2025 at 5:43 PM Quentin Anciaux <[email protected]> wrote:

> Le ven. 10 janv. 2025, 07:31, Bruce Kellett <[email protected]> a
> écrit :
>
>> When you roll a die, the probability of a four is 1/6. Do the other
>> possibilities have to exist? Even if they do, they have no influence on the
>> outcome you actually observe. Probabilities are useful for predicting
>> possible outcomes; so I can, in advance, predict that the possibility that
>> I shall get a four is 1/6. That is all there is to it. That is what
>> probabilities do. There is no need for the other possible outcomes to
>> exist, either in advance or after the fact. They play no role, outside of
>> your imagination.
>>
>> Bruce
>>
>
> The difference with your die example is that in a single-history
> framework, the probabilities we assign are only meaningful if the ensemble
> of possible outcomes has some kind of reality. When you roll a die, the
> probability of a four being 1/6 relies on the existence of a mechanism
> where all six sides are genuinely possible outcomes before the roll. If we
> later observe that, in the single history of the universe, a four never
> occurs, then its actual probability was not 1/6—it was zero. (It’s an
> example)
>
> In a single-world view, the other possibilities never had any reality at
> all—they were not actualized, not even hypothetically. So, the act of
> assigning probabilities becomes a purely formal exercise, disconnected from
> what can or cannot happen. The other sides of the die are reduced to
> abstractions, with no causal role in the observed outcome.
>
> Probabilities are indeed tools for predicting outcomes, but their
> usefulness depends on the assumption that the possibilities they describe
> have some grounding in reality. Without that grounding, they become empty
> numbers. In frameworks like many-worlds, those possibilities exist as
> actualized outcomes in other branches, giving substance to the
> probabilities. But in a single-history framework, the unobserved
> possibilities never existed, making the probabilities feel like a game of
> imagination rather than a reflection of the world.
>
> If the "other possible outcomes" have no reality, even as hypothetical
> constructs, then the act of predicting probabilities loses its explanatory
> value. They become detached from the reality they aim to describe. That’s
> the fundamental issue I’m pointing to. Without some ontological weight for
> the ensemble of possibilities, probabilities are just formal tools with no
> connection to what actually happens.
>

That is just patent nonsense. Formal tools are quite capable of giving the
right answer for the realized world; (and the right answer is what actually
happens.)

Bruce

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