On Tue, Oct 20, 2020 at 1:23 PM 'Brent Meeker' via Everything List <
[email protected]> wrote:

>
>
> On 10/20/2020 5:39 AM, Bruno Marchal wrote:
>
>
> On 15 Oct 2020, at 20:56, 'Brent Meeker' via Everything List <
> [email protected]> wrote:
>
> You should have read Vic Stenger's "The Fallacy of Fine Tuning".  Vic
> points out how many examples of  fine tuning are mis-conceived...including
> Hoyle's prediction of an excited state of carbon.  Vic also points out the
> fallacy of just considering one parameter when the parameter space is high
> dimensional.
>
> But my general criticism of fine-tuning is two-fold.  First, the concept
> is not well defined.  There is no apriori probability distribution over
> possible values.  If the possible values are infinite, then any realized
> value is improbable.
>
>
>
> I don’t think so. That is why Kolmogorov defines a measure space by
> forbidding infinite intersection of events. In the finite case the space of
> events is the complete boolean structure coming from the subset of the set
> of the possible results. In the infinite domain, the measure space os
> defined by a strict subset. I miss perhaps something, but the axiomatic of
> Kolmogorov has been invented to solve that “infinite number of value”
> problem.
>
>
> That's a non-answer.  I was just using infinite (as physicists do) to mean
> bigger than anything we're thinking of.  Kolmogorov just shaped his
> definition to make the mathematics simpler.  There's nothing in Jason's
> analyses that defines the variables as finite.  Jason just helps jimself to
> an intuition that a value between 7.5 and 7.7 is "fine-tuned".  He didn't
> first justify the finite interval.
>

I admit as much in the article. For most parameters, we don't understand
the range or probability distribution for the constants. However, see my
explanation for the cosmological constant, a value for which the theory can
account for the expected range and probability distribution.

Jason

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