On 7/14/2016 2:25 PM, Stathis Papaioannou wrote:
On Thursday, 14 July 2016, Bruce Kellett <bhkell...@optusnet.com.au
<mailto:bhkell...@optusnet.com.au>> wrote:
On 13/07/2016 11:36 pm, Bruno Marchal wrote:
On 11 Jul 2016, at 13:49, Bruce Kellett wrote:
On 11/07/2016 9:31 pm, Bruno Marchal wrote:
*Holiday Exercise:*
A guy undergoes the Washington Moscow duplication, starting
again from Helsinki.
Then in Moscow, but not in Washington, he (the one in Moscow
of course) undergoes a similar Sidney-Beijing duplication.
I write P(H->M) the probability in H to get M.
In Helsinki, he tries to evaluate his chance to get Sidney.
With one reasoning, he (the H-guy) thinks that P(H-M) = 1/2,
and that P(M-S) = 1/2, and so conclude (multiplication of
independent probability) that P(H-S) = 1/2 * 1/2 = 1/4.
But with another reasoning, he thinks that the duplications
give globally a triplication, leading eventually to a copy in
W, a copy in S and a copy in B, and so, directly conclude
P(H-S) = 1/3.
So, is it 1/4 or 1/3 ?
Neither. The probability that the guy starting from Helsinki
gets to Sydney is unity.
Try to convince the guy who gets to Beijing, or the one who
stayed in Washington. He knows that the probability evaluated in
Helsinki was not P(Sidney) = 1.
We start with John Clark in Helsinki, so P(JC ~ H) = 1. By
construction, after the duplication and so on, P(JC ~ W) = P(JC ~
S) = P(JC ~ B) = 1. (I use '~' as a shorthand for 'in' or 'sees'.)
JC in Helsinki knows the protocol, so he can easily see that these
are the correct probabilities. So, as I said, the probability that
the guy starting from Helsinki gets to Sydney is unity. Any other
interpretation of this scenario involves an implicit appeal to
dualism -- there is "one true JC" that goes through these
duplications, and he can only ever end up in just one place.
That is the source of the effect being discussed: JC and all of us
feel that personal identity only transfers to the one true JC, despite
the evidence of all the other clearly visible JC's. This is because
"I"am the person who has my experiences
Which only means that "I who sees Washington." is different from "I who
sees Moscow."
, and I am not telepathically linked to my copies.
But you have to be linked by memories to your past self, otherwise you
will have no identity.
Brent
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