Opps. I replied before reading the entire discussion

On Fri, Oct 11, 2013 at 9:08 AM, Richard Ruquist <yann...@gmail.com> wrote:

> Pierz: Every branch of the multiverse contains an infinity of identical,
> fungible universes.
> Richard: How do you know this? Who said so?
>  Besides the branches must contain a finite number of identical universes
> for probabilities to be realized.
>  Dividing infinity by any number results in an infinity.
>
>
> On Thu, Oct 10, 2013 at 9:11 PM, Pierz <pier...@gmail.com> wrote:
>
>> I'm puzzled by the controversy over this issue - although given that I'm
>> not a physicist and my understanding comes from popular renditions of MWI
>> by Deutsch and others, it may be me who's missing the point. But in my
>> understanding of Deutsch's version of  MWI, the reason for Born
>> probabilities lies in the fact that there is no such thing as a "single
>> branch". Every branch of the multiverse contains an infinity of identical,
>> fungible universes. When a quantum event occurs, that set of infinite
>> universes divides proportionally according to Schroedinger's equation. The
>> appearance of probability arises, as in Bruno's comp, from multiplication
>> of the observer in those infinite branches. Why is this problematic?
>>
>> On Saturday, October 5, 2013 2:27:18 AM UTC+10, yanniru wrote:
>>>
>>> Foad Dizadji-Bahmani, 2013. The probability problem in Everettian
>>> quantum mechanics persists. British Jour. Philosophy of Science   IN
>>> PRESS.
>>>
>>> ABSTRACT. Everettian quantum mechanics (EQM) results in ‘multiple,
>>> emergent, branching quasi-classical realities’ (Wallace [2012]). The
>>> possible outcomes of measurement as per ‘orthodox’ quantum mechanics are,
>>> in EQM, all instantiated. Given this metaphysics, Everettians face the
>>> ‘probability problem’—how to make sense of probabilities, and recover the
>>> Born Rule. To solve the probability problem, Wallace, following Deutsch
>>> ([1999]), has derived a quantum representation theorem. I argue that
>>> Wallace’s solution to the probability problem is unsuccessful, as follows.
>>> First, I examine one of the axioms of rationality used to derive the
>>> theorem, Branching Indifference (BI). I argue that Wallace is not
>>> successful in showing that BI is rational. While I think it is correct to
>>> put the burden of proof on Wallace to motivate BI as an axiom of
>>> rationality, it does not follow from his failing to do so that BI is not
>>> rational. Thus, second, I show that there is an alternative strategy for
>>> setting one’s credences in the face of branching which is rational, and
>>> which violates BI. This is Branch Counting (BC). Wallace is aware of BC,
>>> and has proffered various arguments against it. However, third, I argue
>>> that Wallace’s arguments against BC are unpersuasive. I conclude that the
>>> probability problem in EQM persists.
>>>
>>> http://www.foaddb.com/FDBCV.**pdf <http://www.foaddb.com/FDBCV.pdf>
>>> Publications (a Ph.D. in Philosophy, London School of Economics, May
>>> 2012)
>>> ‘The Probability Problem in Everettian Quantum Mechanics Persists’,
>>> British Journal for Philosophy of Science, forthcoming
>>>  ‘The Aharanov Approach to Equilibrium’, Philosophy of Science, 2011
>>> 78(5): 976-988
>>> ‘Who is Afraid of Nagelian Reduction?’, Erkenntnis, 2010 73: 393-412,
>>> (with R. Frigg and S. Hartmann)
>>> ‘Confirmation and Reduction: A Bayesian Account’, Synthese, 2011 179(2):
>>> 321-338, (with R. Frigg and S. Hartmann)
>>>
>>> His paper may be an interesting read once it comes out. Also available
>>> in:
>>> ‘Why I am not an Everettian’, in D. Dieks and V. Karakostas (eds):
>>> Recent Progress in Philosophy of Science: Perspectives and Foundational
>>> Problems, 2013, (The Third European Philosophy of Science Association
>>> Proceedings), Dordrecht: Springer
>>>
>>> I think this list needs another discussion of the possible MWI
>>> probability problem although it has been covered here and elsewhere by
>>> members of this list. Previous discussions have not been personally
>>> convincing.
>>>
>>> Richard
>>>
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>
>

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