Le 15-déc.-05, à 03:04, Saibal Mitra a écrit :
To me it seems that the notion of ''successor'' has to break down at
where the observer can die. The Tookies that are the most similar to
Tookie who got executed are the ones who got clemency. There is no
reason why these Tookies should be excluded as ''successors''. They
part of their memories about things that happened after clemency was
Instead of those memories they have other memories. We forget things
time. Sometimes we remember things that didn't really happen. So, we
for information loss anyway. My point is then that we should forget
all of the information contained in the OM and just sample from the
set of OMs.
The notion of a ''successor'' is not a fundamental notion at all. You
define it any way you like.
It will not lead to any conflict with any
experiments you can think of.
Counterexamples will appear if I succeed to explain more of the
conversation with the lobian machines.
But just with the Kripke semantics we have a base to doubt what you are
saying here. Indeed, it is the relation of accessibility between OMs
which determine completely the invariant laws pertaining in all OMs.
For example, if the multiverse is reflexive the Bp -> p is true in all
OMs (that is, Bp -> p is invariant for any walk in the multiverse). If
the mutliverse is "terminal" of "papaioannou-like) then Dt -> ~BDt is
a law. In Kripke structure the accessibility relation determined the
later, the modal logic is given by the machine interview, and from
that, we will determine the structure of the multiverse, including the