On 06 Aug 2016, at 19:12, smitra wrote:

On 05-08-2016 01:08, Quentin Anciaux wrote:
2016-08-04 19:20 GMT+02:00 smitra <smi...@zonnet.nl>:
On 04-08-2016 03:05, Brent Meeker wrote:
On 8/3/2016 4:30 PM, smitra wrote:
On 04-08-2016 01:16, Brent Meeker wrote:
On 8/3/2016 4:09 PM, smitra wrote:
On 04-08-2016 00:12, Stathis Papaioannou wrote:
Only if you wake up and find out winning the lottery was a
mistake,
which seems less likely than waking up a winner. Waking up as one
of
the many copies who didn't win is not one of the options - those
copies are not continuations of the you who won the lottery.
I'm imagining waking up after a night of heavy drinking with
memories gradually returning. Now, you can, of course, condition
everything on the person who will find that he won the lottery. But
making that a hard part of my identity doesn't make sense to me,
otherwise you could not be the same person and forget about it, or
consider being the same person who participated in the lottery who
then went on to win it.
Now,while this boils down to an arbitrary definition of personal
identity, we should be consistent about this; you can be the same
person as the won who had not yet won it, and you could imagine
being a person who did not win it, then you'll likely end up waking
up as a copy in another branch who did not win it.
 That seems to invoke a dualism, such that there's only one real
"you"
who may be in different branches at different times.  I'd say that if
"you" wake up as a copy in another branch where "you" didn't win,
it's
because "you" didn't win.  It's the same as saying the man who sees
Moscow didn't "wake up" as the man who sees Washington.
 Brent
We can turn this into a reverse Bruno-like problem. If your memory is
temporarily cleared then copies of different branches merge.
You mean there are branches of the world in which your memory of
yesterday, when the lottery was drawn, is erased (and we're supposing
there is no physics, so there is no physical evidence of yesterday?).
Then the threads of consciousness constituting Saibal before
yesterday
AND suffering amnesia about yesterday will merge with each other, but
NOT with the threads of Saibal that do remember yesterday.
The branches will of course be different, but you without a memory
of having won in the branch where you did win is the same you as the
you in another branch were you did not win where you also have
forgotten about not winning.
The question is then if it is advisable to go through this
procedure if you have won.
You're supposing there's a "procedure" for erasing memory of
yesterday?  How could there be, there's no physics?  So there are
some
Saibals that forgot yesterday, and whether or not "they" won, but the
forgetting wasn't a "procedure" because that would imply a physical
world context in which whether on not Saibal won would be evident in
the physical world and beyond mere "forgetting".  The forgetting
would
just have to be a result of the computation.
I've written in the past about an elaborate procedure involving an AI
that resets its memory, but I now think that this is not necessary.
It seems to me that every moment we experience is a new measurement of
our state that is equivalent to forgetting everything and then just
reloading all the information. Predictions of outcomes of experiments
should not depend on making this assumption. Put differently, at any
one time you could imagine yourself as being sampled randomly from the
set of all observer moments.
This is basically ASSA... and it has all the problems ASSA has....

I think in the old debate about RSSA/ASSA things were oversimplified. The main thing that was overlooked was that an observer moment (OM) cannot be specified as a classical state, because an algorithm needs to be specified requiring counterfactual inputs and outputs to be specified. So OMs should be identified with operators specifying the time evolution over one computational step.

That would only define another universal number.

We must just agree on one sigma_1 complete theory (Turing universal) to have the counterfactuals. Here your use of "operators" is ambiguous, as we don't know if it is referred to math or physics.

Computation is not just a mathematical notion, it is an arithmetical notion. Physical time should emerge from the FPI (hopefully plural) on an infinities of "digital time", which are just the computation themselves (determined either by two numbers (the program and the inputs) at the base level (arithmetic) or by three numbers (a universal number and its program, and its data), + streams, and oracle (like non computable set of numbers).



Now, if we jump ahead to QM, then it should be clear that you should end up with a complete set of commuting observables not for some system in the lab, but for whatever the observer is aware of, which is in principle also a quantum mechanical measurement.

So, specifying an OM involves a lot more than was assumed, you can build an entire universe around it. This should be possible because that's what we do in physics all the time. All we know at any given moment is never more than information contained in a single OM, but that doesn't stop us from knowing a lot about the universe, the laws of physics etc. etc.

To solve or progress on the mind body problem, despite the quantum looks like a solution of the measure problem, we need to justify the quantum and the physical from an internal (self-referential) statistics relative to (all) computations.

Mathematical logic gave the tools to do that, and see what happens at the propositional logics.

A 3p "OM" is a relative machine state (number state relatively to a universal number, or to the base (arithmetic)).

Those 3p are solutions of Diophantine equations.

The "1p-"OM"" notion is more tricky. It needs Incompleteness (G, G*) + Theaetetus. There are technic to invoke the truth without naming it. Very useful in agnostic theology.

Bruno





Saibal

Saibal
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