Re: Maudlin's Demon (Argument)

2006-10-08 Thread George Levy

Bruno,

Finally I read your filmed graph argument which I have stored in my 
computer. (The original at the Iridia web site 
http://iridia.ulb.ac.be/~marchal/bxlthesis/Volume3CC/3%20%202%20.pdf
is not accessible anymore. I am not sure why.)

In page TROIS -61 you describe an experience of consciousness which is 
comprised partially of a later physical process and partially of the 
recording of an earlier physical process.

It is possible to resolve the paradox simply by saying that 
consciousness involves two partial processes each occupying two 
different time intervals, the time intervals being connected by a 
recording, such that the earlier partial process is combined with the 
later partial process, the recording acting as a connection device.

I am not saying that consciousness supervene on the physical substrate. 
All I am saying is that the example does not prove that consciousness 
does not supervene the physical. The example is just an instance of 
consciousness operating across two different time intervals by mean of a 
physical substrate and a physical means (recording) of connecting these 
two time intervals.

George

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Re: Parfit's token and type

2006-10-08 Thread Bruno Marchal


Le 07-oct.-06, à 16:35, Stathis Papaioannou a écrit :


 Bruno marchal writes:

 Le 05-oct.-06, à 20:49, markpeaty a écrit :


 Bruno,
 I started to read [the English version of] your discourse on Origin 
 of
 Physical Laws and Sensations. I will read more later. It is certainly
 very interesting and thought provoking. It makes me think of 'Reasons
 and Persons' by Derek Parfitt. His book is very dry in places but
 mostly very well worth the effort of ploughing through it.

 Parfit is good. I stop to follow him when he insists that we are 
 token.
 I paraphrase myself sometimes by the slogan MANY TYPES NO TOKEN.

 Can you explain the disagreement with Parfit? My reading of chapter 99 
 of
 R  P is that a token is a particular instantiation of a person 
 while a type
 is the ensemble of related instantiations. Mary Smith is a type, 
 Mary Smith
 coming out of replicator no. 978 at 11:05 AM is a token.


When I say MANY TYPES NO TOKEN, I assume comp *and* the conclusion I 
derive from it, that is the reversal between physics and number 
theoretical machine theory (say). In particular I take from granted 
that my next observer moment is somehow determined by two things: a 
proportion of computational histories going through my actual 
computational state, and the proportion of consistent extensions, which 
are related to a proportion of similar computational histories.
So with comp Mary Smith coming out of a replicator no. 978 at 11:05 
AM is a type. It is the type of all (2^aleph_0) histories going 
through that event (supposedly well 3-described).
 From a third person point of view, if you are willing to say that the 
natural numbers are token (I am neutral on that), then it would make 
sense to see the nth step of an immaterial execution of a DU, (or an 
enumeration of the true sigma_1 arithmetical sentences) as (immaterial) 
tokens. But even in that case, there would be no sense to attribute 
tokenness to Mary Smith coming out of a replicator no. 978 at 11:05 
AM, because there is no way to privilege one instantiation from 
another. We must take them all, and they constitute highly undecidable 
sets.










 It appears that in this terminology (actually due to Bernard Williams, 
 not Parfit)
 once generated a token remains the same token until there is another 
 branching,
 but my preference is to generalise the term and say that a token has 
 only transient
 existence, which then makes token equivalent to observer moment.


OK. I prefer.
With comp it has to correspond to the third person Observer Moment (OM 
hereafter).
They are the true Sigma_1 sentences, or the accessible states by the UD.


 This is
 literally true, given that from moment to moment, even in the absence 
 of teleportation
 etc., the atoms in your body turn over such that after a certain time 
 none of the
 matter in your body is the same, and before this time the fact that 
 some of the
 matter in your body is the same is accidental and makes no 
 difference to your
 conscious experience.


Assuming bodies. I see the point.



 As to whether I am token or type: obviously, literally, 
 I-who-write-this-now am a
 token.

This looks like the first person OM. It is different from the preceding 
one.
The 3-OM are enumerable, even recursively enumerable.
The 1-OM  are enumerable but not recursively enumerable (for those who 
have the Cutland, it is a simple consequence of Rice theorem).
And the similarity classes of the 1-OM (= states plus its relative 
proportion) has the power of the continuum.




  My present token is included in the set of related tokens in the 
 past, future,
 other branches of the multiverse, surreptitious emulations of my mind 
 made by aliens,
 and so on: the type. Note that the definition of a particular token 
 (especially in my
 generalised sense, fixed to a specific and unique position in the 
 multiverse) can be
 made completely unambiguous,


How? With comp (with the multiverse = UD*) you have to bet on a level 
of description of you, and then, even in the lucky case of a correct 
bet, I still don't see how you will discover you present token, if only 
because of the many undistinguishable computational histories going 
through that state (which I recall you can only bet on).
This was about your 3-OM token. The situation is even more difficult 
for the 1-OM token, which is determined in the neighborhood of the 
infinite.
And frankly if you believe a recording can be conscious, don't forget 
to look for the infinitely any emulation any recording before telling 
me where is your 1-OM in UD*.



 while the definition of a type is necessarily vague and
 fuzzy arround the edges. For example, if a being exists somewhere with 
 70% of
 my memories and 30% of your memories, should he be included in my 
 type, your type,
 a new type, or some combination of these? It is only because we 
 experience a linear
 existence from birth to death, so that only a single token is extant 
 at a time and there
 is clear 

Re: Maudlin's Demon (Argument)

2006-10-08 Thread Bruno Marchal


Le 07-oct.-06, à 22:24, [EMAIL PROTECTED] a écrit :


 my reductionism is simple: we have a circle of knowledge base 
 and view
 the world as limited INTO such model. Well, it is not. The 
 reductionist view
 enabled homo to step up into technological prowess but did not support 
 an
 extension of understanding BEYOND the (so far) acquired 
 knowledge-base. We
 simply cannot FIND OUT what we don't know of the world.
 Sciences are reductionistic, logic can try to step out, but that is 
 simple
 sci-fi, use fantasy (imagination?) to bridge ignorance.
 I am stubborn in I don't know what I don't know.


It is a little ambiguous, but if by I you refer to your first person 
view I could agree with you.
But for the 3-person view then, once I bet on a theory I can bet on 
what I don't know. Example.

If I just look at the moon without theory, I cannot know nor describe 
what I don't know.
As soon I bet on a theory, like saying that the moon is a big ball, 
then I can know a part of what I don't know (like is there life form on 
that sphere, or what is the shape of the other face of that sphere).
 From a third person point of view, a theory (a model in your term) is a 
catalyzer for knowing we don't know much, and then formulating problems 
and then solving some of them or sometimes changing the theory (the 
model).





 Jump outside our knowledge? it is not 'ourselves', it is ALL we know 
 and
 outside this is NOTHINGNESS for the mind to consider. Blank.


In which model (theory)?



 This is how most of the religions came about. Provide a belief.



Scientific theories also provide beliefs.
Theology has been extracted from science for political purpose (about 
1500 years ago), just to give name for what is really economical if 
not just xenophobical conflicts. The same happened in the USSR with 
genetics. No discipline, even math, is vaccine against the possible 
human misuses.




 PS Er..., to Markpeaty and other readers of Parfit: I think that his
 use of the term reductionist is misleading, and due in part to his
 lack of clearcut distinction between the person points of view.


Well said.


Bruno



http://iridia.ulb.ac.be/~marchal/


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Re: The difference between a 'chair' concept and a 'mathematical concept' ;)

2006-10-08 Thread 1Z


David Nyman wrote:
 On Oct 7, 1:16 pm, 1Z [EMAIL PROTECTED] wrote:

 Numbers that haven't been reified in any sense,
  don't exist in any way and therefore don't behave in any
  way.

 Forgive me for butting in again, but is there not some way to stop this
 particular disagreement from going round in circles interminably,
 entertaining though it may be? For what it's worth, it seems to me that
 Bruno has been saying that you get a number of interesting (and
 unexpected) results when you start from a certain minimum set of
 assumptions involving numbers and their relations.

Yes. But he says he isn't assuming Platonism, although he must be.

  As he often
 reiterates, this is a 'modest' view, making no claim to exclusive
 explanatory truth,

He claims that computationalism is incompatible with
materialism. That is not modest (or correct AFAICS)

 and - dealing as it does in 'machine psychology' -
 limiting its claims to the consequences of 'interviewing' such machines
 and discovering their povs.

So how does he get computationalism is incompatible with
materialism out of such interviews?

 In achieving these results, AFAICS, no
 claims need be made about the fundamental 'ontic realism' of numbers:
 rather one is doing logic or mathematics from an axiomatic basis in the
 normal way.

How can he come to conclusions about the uneality
of matter without assuming the reality of something
to take its place?

 The question of which set of 'ontic prejudices' we in fact employ as we
 go about our daily affairs is of course another issue.

And yet antoher issue is whether the conclusions of
a valid arguiment must be contained in its premises.

 It may of course
 eventually turn out that theoretical or, preferably empirically
 disconfirmable, results derived from comp become so compelling as to
 force fundamental re-consideration of even such quotidian assumptions -
 e.g. the notorious 'yes doctor' proposition.

Bruon's empirical prediction require a UD to exist. That
is an assumption beyond computationalism.

 But as Bruno is again at
 pains to point out, this won't be based on 'sure knowledge'. It will
 always entail some 'act of faith'.

 To establish what is in some ultimate sense 'real' - as opposed to
 knowable or communicable - is extraordinarily difficult,

No, it's really easy. I am real, or I would not
be writing this. What you mean is to
establish it by abstract argumentation is difficult.
Well, it is. That is why empiricists prefer empiricisim.

 and perhaps at
 root incoherent. The debate, for example, over whether the
 computational supervenes on the physical doesn't hinge on the 'ontic
 reality' of the fundamental assumptions of physicalism or
 computationalism. Rather, it's about resolving the explanatory
 commensurability (or otherwise) of the sets of observables and
 relations characteristic of these theoretical perspectives. Indeed what
 else could it possibly be for humans (or machines) with only such data
 at our disposal?

 David

  Bruno Marchal wrote:
   There is no need to reify the numbers.[...]
 
   I don't think so. Once you accept that the number theoretical truth is
   independent of you (which I take as a form of humility), then it can be
   explained quite precisely why numbers (in a third person view-view)
   are bounded to believe in a physical (third person sharable) reality
   and in a unnameable first person reality etc.Numbers that haven't been 
   reified in any sense,
  don't exist in any way and therefore don't behave in any
  way.


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Re: The difference between a 'chair' concept and a 'mathematical concept' ;)

2006-10-08 Thread 1Z


Colin Geoffrey Hales wrote:

 I reached this position independently and you may think I'm nuts... I
 can't help what I see... is there something wrong with this way of
 thinking? 

I don't see what you think a non-ideal number is.


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Re: Maudlin's argument

2006-10-08 Thread 1Z


Bruno Marchal wrote:
 Le 07-oct.-06, à 16:48, 1Z a écrit :

  That is obviously wrong. Formalists are not Platonists,
  structuralists are not Platonists, Empiricists are not
  Platonists.


 After Godel, even formalists are platonist about numbers.

Of course not.

  If they say
 that they are formalist it means they are not platonist about things
 extending numbers like sets. Or it means they does not follows the
 mathematical news.

That is not how they describe themselves.

 Formalism at the level of numbers has been shown senseless. This is
 already clear in Dedekind, but provable in all details by using
 theorems by Skolem or Godel.

I think you are getting the Hilbertian programme, of mechanising
mathematics, confuse with formalism, which is a claim
about the meaning of mathematical propositions. Formalists
believe that mathematical propositions in general take
their meanings from  systems of rules and defintions
in general . The discovery that particular systems have particular
limitations
does not destroy that claim.

 A strict formalist about natural numbers cannot even interpret the
 modus ponens rule and explains what formalism is.
 It is false to pretend (like we can heard sometimes) that Godel
 incompleteness has kill the formalist doctrine in mathematics, but it
 is correct to say that godel's incompleteness has kill the formalist
 doctrine in arithmetics.

 But I agree with David's yesterday post, you should should less quibble
 about terminology and try to understand the reasoning instead.

No-one can understand anyhting withiut clear definitions.

 That
 would provide much more help for settling the possible interpretation
 problems.
 
 Bruno
 
 
 http://iridia.ulb.ac.be/~marchal/


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Re: Maudlin's argument

2006-10-08 Thread 1Z


Brent Meeker wrote:

 But note that Maudlin's argument depends on being in a classical world.  The 
 quantum
 world in which we live the counterfactuals are always realized with some 
 probability.

Only under MWI.


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Re: Maudlin's Demon (Argument)

2006-10-08 Thread jamikes

Bruno:
once I 'learn' about what you imply as 3rd pers. theory, my personal
interpretation absorbs it (partly, distorted, or perfectly) as MY 1st pers.
knowledge. It ENTERS my knowledge and from there on I can formulate my
'theories' (models) about it. Whether it is true or not.
So when I hear you saying that the moon is a big lighting ball, I know so,
it is not 'outside' my circle of information anymore.  3rd pers info is not
a catalyst, it is an addition. (Right/wrong, accepted/rejected).
*
Sorry for the NESS after 'nothing-'.  I don't look for a model when there is
nothing to be found. Theory? maybeG.
*
I drew a parallel (with the differences pointed out) between religion and
science in an earlier draft. Of course both are belief systems. And I don't
think I am talking about 'theology' when I say religion. Th-y is a
reductionist science of a non-science. It is the speculation about the
belief. ONE belief. It tries to apply secular thinking to mystical stuff: an
oxymoron. In the logic of the believers.(Oxym. No2). The Greeks were honest:
their gods cheated, lied, were adulterous, raped and stole etc., just as the
humans they were simulated after. The JudeoChrIslamics retained mostly the
vainness: fishing for praise, the uncritical obedience,
(religio?)chauvinism, wrath and punishing, vengefulness and a lot of
hypocrisy.
Science is subtle: the potentates just prevent the publication, tenure and
grants for an opposing point-of-view - the establishment guards its
integrity against new theories (enlarged models).

John

- Original Message -
From: Bruno Marchal [EMAIL PROTECTED]
To: everything-list@googlegroups.com
Sent: Sunday, October 08, 2006 10:15 AM
Subject: Re: Maudlin's Demon (Argument)




Le 07-oct.-06, à 22:24, [EMAIL PROTECTED] a écrit :


 my reductionism is simple: we have a circle of knowledge base
 and view
 the world as limited INTO such model. Well, it is not. The
 reductionist view
 enabled homo to step up into technological prowess but did not support
 an
 extension of understanding BEYOND the (so far) acquired
 knowledge-base. We
 simply cannot FIND OUT what we don't know of the world.
 Sciences are reductionistic, logic can try to step out, but that is
 simple
 sci-fi, use fantasy (imagination?) to bridge ignorance.
 I am stubborn in I don't know what I don't know.


It is a little ambiguous, but if by I you refer to your first person
view I could agree with you.
But for the 3-person view then, once I bet on a theory I can bet on
what I don't know. Example.

If I just look at the moon without theory, I cannot know nor describe
what I don't know.
As soon I bet on a theory, like saying that the moon is a big ball,
then I can know a part of what I don't know (like is there life form on
that sphere, or what is the shape of the other face of that sphere).
 From a third person point of view, a theory (a model in your term) is a
catalyzer for knowing we don't know much, and then formulating problems
and then solving some of them or sometimes changing the theory (the
model).





 Jump outside our knowledge? it is not 'ourselves', it is ALL we know
 and
 outside this is NOTHINGNESS for the mind to consider. Blank.


In which model (theory)?



 This is how most of the religions came about. Provide a belief.



Scientific theories also provide beliefs.
Theology has been extracted from science for political purpose (about
1500 years ago), just to give name for what is really economical if
not just xenophobical conflicts. The same happened in the USSR with
genetics. No discipline, even math, is vaccine against the possible
human misuses.




 PS Er..., to Markpeaty and other readers of Parfit: I think that his
 use of the term reductionist is misleading, and due in part to his
 lack of clearcut distinction between the person points of view.


Well said.


Bruno



http://iridia.ulb.ac.be/~marchal/



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Re: Maudlin's argument

2006-10-08 Thread Russell Standish

On Sun, Oct 08, 2006 at 01:41:52PM +1000, Stathis Papaioannou wrote:
 However, I don't see why having an interesting future should make the 
 difference between 
 consciousness and zombiehood. How do I know that I am not currently living 
 through a virtual 

Sure, but I don't see how I am conscious in the first place. Yet the
fact remains that I do.

Until we have a better idea of the mechanisms behind consciousness, it
is a little too early to rule out any specific conclusion. I think
Penrose and Lockwood are dead wrong in their specific quantum
mechanical connections with consciousness, but I retain a suspicion
that quantum effects are important in some way.

-- 
*PS: A number of people ask me about the attachment to my email, which
is of type application/pgp-signature. Don't worry, it is not a
virus. It is an electronic signature, that may be used to verify this
email came from me if you have PGP or GPG installed. Otherwise, you
may safely ignore this attachment.


A/Prof Russell Standish  Phone 0425 253119 (mobile)
Mathematics  
UNSW SYDNEY 2052 [EMAIL PROTECTED] 
Australiahttp://parallel.hpc.unsw.edu.au/rks
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Re: The difference between a 'chair' concept and a 'mathematical concept' ;)

2006-10-08 Thread David Nyman



On Oct 8, 6:29 pm, 1Z [EMAIL PROTECTED] wrote:

Yes. But he says he isn't assuming Platonism, although he must be.

Well, if he is, so what? If we allow him this, what then follows -
isn't this more interesting?

He claims that computationalism is incompatible with
 materialism. That is not modest (or correct AFAICS)

I think the 'modesty' part is meant more to relate to provability
vs.believability, per Goedel/Lob - that we must live with doubt (i.e.
empiricism is ineliminable). As to computationalism, there seems to be
some confusion on the list (and elsewhere) between (at least) two
varieties. The first might I suppose be characterised as minimalist
comp, dealing with programs as instantiated in (as one might say) real
- i.e. material - computers. Clearly it would make no sense to say that
this kind of computationalism is incompatible with materialism - i.e
that physical processes can 'compute'.

So how does he get computationalism is incompatible with
 materialism out of such interviews?

From the 8th step of the UDA argument. This attempts to show that if
one (but not you, I think?) starts with the much stronger assumption
that *consciousness supervenes on computation itself*, then it can't
also supervene on the physical. AFAICS, this stems fundamentally from
the inability to stabilise the instantiation of a computation, given
the lack of constraint on the material substrates that can be construed
as implementing equivalent computations. Given materialism, in other
words, 'computation' is just a metaphor - it's the physics that does
the work. I have to say that I think this may really point to a fatal
flaw in any assumption - within materialism - that consciousness can
supervene on the physical *per computation* in the standard AI sense.
However, consciousness may of course still be shown to supervene on
some physically stabilisable material process (e.g. at the neurological
or some other consistently materially-reducible level of explanation).

Bruon's empirical prediction require a UD to exist. That
 is an assumption beyond computationalism.

But not beyond 'comp', which is a horse of a different colour. The UDA
argument attempts to establish, and show the consequences of, a 'comp'
constrained to CT, AR, and the 'modest empiricism' of 'yes doctor'. It
*assumes* that putative stable conscious experiences are associated
with certain types of machine thus defined. From this stems the claim
that the consciousness of such machines can't simultaneously supervene
on an unstabilisable externally-defined 'material' substrate - in fact,
the 'material' also has to be an emergent from the computational in
this view. Comp and materialism start from radically different
assumptions, and have diametrically opposed explanatory directions.
However, I don't think they treat the *observables* in any essential
way as less 'real', but differ radically as to the source - and here
its does get difficult, because one can no longer simply appeal
directly to those observables - as Johnson failed to note in stubbing
his toe on the stone.

How can he come to conclusions about the uneality
 of matter without assuming the reality of something
 to take its place?

Well, in the end we can only believe that whatever it is must be 'real
in the sense that I am real', or where are we?

No, it's really easy. I am real, or I would not
 be writing this. What you mean is to
 establish it by abstract argumentation is difficult.
 Well, it is. That is why empiricists prefer empiricisim.

Well, as you know, I've also had some discomfort with aspects of
platonic or other possibly implicit assumptions in this approach, but I
think now that it's interesting and fruitful enough to suspend
judgement on this pending further (preferably empirically refutable)
results, without fully committing as a believer - but then that is not
what is demanded. However, I acknowledge the robustness of your
Johnsonian approach to refutation!

David

 David Nyman wrote:
  On Oct 7, 1:16 pm, 1Z [EMAIL PROTECTED] wrote:

  Numbers that haven't been reified in any sense,
   don't exist in any way and therefore don't behave in any
   way.

  Forgive me for butting in again, but is there not some way to stop this
  particular disagreement from going round in circles interminably,
  entertaining though it may be? For what it's worth, it seems to me that
  Bruno has been saying that you get a number of interesting (and
  unexpected) results when you start from a certain minimum set of
  assumptions involving numbers and their relations.Yes. But he says he isn't 
  assuming Platonism, although he must be.

   As he often
  reiterates, this is a 'modest' view, making no claim to exclusive
  explanatory truth,He claims that computationalism is incompatible with
 materialism. That is not modest (or correct AFAICS)

  and - dealing as it does in 'machine psychology' -
  limiting its claims to the consequences of 'interviewing' such machines
  and discovering their povs.So 

RE: Parfit's token and type

2006-10-08 Thread Stathis Papaioannou

Bruno Marchal writes:

  Parfit is good. I stop to follow him when he insists that we are 
  token.
  I paraphrase myself sometimes by the slogan MANY TYPES NO TOKEN.
 
  Can you explain the disagreement with Parfit? My reading of chapter 99 
  of
  R  P is that a token is a particular instantiation of a person 
  while a type
  is the ensemble of related instantiations. Mary Smith is a type, 
  Mary Smith
  coming out of replicator no. 978 at 11:05 AM is a token.
 
 
 When I say MANY TYPES NO TOKEN, I assume comp *and* the conclusion I 
 derive from it, that is the reversal between physics and number 
 theoretical machine theory (say). In particular I take from granted 
 that my next observer moment is somehow determined by two things: a 
 proportion of computational histories going through my actual 
 computational state, and the proportion of consistent extensions, which 
 are related to a proportion of similar computational histories.
 So with comp Mary Smith coming out of a replicator no. 978 at 11:05 
 AM is a type. It is the type of all (2^aleph_0) histories going 
 through that event (supposedly well 3-described).
  From a third person point of view, if you are willing to say that the 
 natural numbers are token (I am neutral on that), then it would make 
 sense to see the nth step of an immaterial execution of a DU, (or an 
 enumeration of the true sigma_1 arithmetical sentences) as (immaterial) 
 tokens. But even in that case, there would be no sense to attribute 
 tokenness to Mary Smith coming out of a replicator no. 978 at 11:05 
 AM, because there is no way to privilege one instantiation from 
 another. We must take them all, and they constitute highly undecidable 
 sets.

I think this might be a terminology issue. There may be many computations 
or processes in the multiverse implementing the OM Mary Smith no. 978 at 
11:05 AM. From a third person POV it may be possible to point to a computer 
and say that's MS 978 #1 and another computer and say that's MS 978 #2, 
these being two instantiations of the one OM, but from a first person POV it is 
not possible to make such a distinction, otherwise they would be different 
OM's. 
I would further add that if the third person distinction leads to any 
interaction 
with the two instantiations as separate entities then that also forces them to 
become distinct OM's since it changes their first person experience. It is 
really only an observer who will not interact with the separate instantiations, 
like a deistic god overseeing the universe, who can tell them apart. So someone 
who has a relationship with Mary Smith will at any one time have a relationship 
with a particular Mary Smith token, which might actually have multiple 
instantiations not distinguishable by either Mary Smith or the observer as 
separate.

I think it is the term token that is confusing. OM is less problematic.

  It appears that in this terminology (actually due to Bernard Williams, 
  not Parfit)
  once generated a token remains the same token until there is another 
  branching,
  but my preference is to generalise the term and say that a token has 
  only transient
  existence, which then makes token equivalent to observer moment.
 
 
 OK. I prefer.
 With comp it has to correspond to the third person Observer Moment (OM 
 hereafter).
 They are the true Sigma_1 sentences, or the accessible states by the UD.
 
 
  This is
  literally true, given that from moment to moment, even in the absence 
  of teleportation
  etc., the atoms in your body turn over such that after a certain time 
  none of the
  matter in your body is the same, and before this time the fact that 
  some of the
  matter in your body is the same is accidental and makes no 
  difference to your
  conscious experience.
 
 
 Assuming bodies. I see the point.
 
 
 
  As to whether I am token or type: obviously, literally, 
  I-who-write-this-now am a
  token.
 
 This looks like the first person OM. It is different from the preceding 
 one.
 The 3-OM are enumerable, even recursively enumerable.
 The 1-OM  are enumerable but not recursively enumerable (for those who 
 have the Cutland, it is a simple consequence of Rice theorem).
 And the similarity classes of the 1-OM (= states plus its relative 
 proportion) has the power of the continuum.
 
 
 
 
   My present token is included in the set of related tokens in the 
  past, future,
  other branches of the multiverse, surreptitious emulations of my mind 
  made by aliens,
  and so on: the type. Note that the definition of a particular token 
  (especially in my
  generalised sense, fixed to a specific and unique position in the 
  multiverse) can be
  made completely unambiguous,
 
 
 How? With comp (with the multiverse = UD*) you have to bet on a level 
 of description of you, and then, even in the lucky case of a correct 
 bet, I still don't see how you will discover you present token, if only 
 because of the many undistinguishable computational histories