We don’t!
What he means is that if we arbitrarily vary the constants of physics, we can use theoretical physics to say which of those universes allow for life/stars like ours. The boundaries of such parameter space scans are made up, but the limits that allow for physics like our are not. But this in no way shape or form are the actual possible universes because not even the best theoretical physics can say this- nobody knows what “possible universes” there are. There is a subtle but extremely important difference between the two.
The ranges are not ranged that are allowed by current theoretical physics because nobody knows what possible ranges are! All that we know is what ranges within the parameter space scans allow for physics that is important for life/stars. I’m not suggesting that the ranges within the parameter space scans should be “narrower” as this would indicate even more extreme “fine-tuning” but what I am suggesting is the boundaries of such scans are entirely unknown. That is something that all of these Cosmologists readily admit.
What does this mean to you? The section is a good section regarding how do you try to find out if any physical theory is an accurate description of reality. Re-reading it is highly recommended. I’d probably have to read through it ten times to be able to speak with some understanding on their arguments. Of note is of course their summary on p.288:
We haven’t made a watertight argument here, much less performed a calculation.
They say some more nice things but notice: they can’t give you any probability because even a Bayesian analysis requires information that they don’t and can’t have. And they also can’t calculate the probability via other means because nobody knows what possible values the constants can take!
Well sure, because we don’t know how universes and constants of physics are made/determined. But by all means, please don’t turn that around to some kind of argument for God as this would be a god of the gaps type of argument.
I don’t think there is any fine-tuning theistic argument but I would appreciate if those that make such accurately reflect what cosmologists are saying.