On 03 Mar 2014, at 08:36, chris peck wrote:
>> If you repeated the cloning experiment from Figure 8.3 many
times and wrote down your room number each time, you'd in almost all
cases find that the sequence of zeros and ones you'd written looked
random, with zeros occurring about 50% of the time.
There's something strikes me as very strange about this idea.
Tegmark's method is just a means of writing down binary sequences.
Being strict, already with binary sequences just 4 digits long, only
37.5% of those contain half zeros. This drops the longer the
sequences get. So, with sequences 6 digits long, only 31.25% contain
half zeros. With sequences 8 digits long only 27% and with 16 digits
only about 19%.
If his experiment continued for a year, (365 digits) many people
would find that either room 1 or room 0 was dominating strongly.
That is wrong.
For these people a change in room would seem very odd, a glitch in
the matrix that wouldn't be of any great concern vis a vis
prediction once 'normality' kicked back in the following night. For
others, a change in room would occur at regular intervals and would
seem very predictable. There would be the guy who changed room every
night. There would be all the guys whose room changed every night
except for the one time when it stayed the same. A little glitch is
all.
In truth, the longer you continued the game and the more people got
involved the less chance a person would have of finding room
assignment random at all. There would be increasingly few people
willing to bet 50/50 on a particular room assignment.
"about 50%" is not the same as "exactly" 50 %. If you do ten kids, and
assume P= 1/2, you can prove that the probability of having exactly 5
boys and 5 girls is equal to
binome-newton-coefficient (10 ; 5) times (1/2)^10 = 0.246.
So what you say is a direct consequence of the P= 1/2. The
distribution of seeing W k times in the n-iterated WM duplication is
given by
binome-newton-coefficient (n ;k) times (1/2)^(n-k) times (1/2)^k. If n
is big enough you can use the Gaussian normal distribution.
Bruno
Date: Sun, 2 Mar 2014 17:13:23 +1300
Subject: Re: Tegmark and UDA step 3
From: [email protected]
To: [email protected]
"Hello, dear, looking for a bit of multi-sense realism?"
On 2 March 2014 16:35, <[email protected]> wrote:
heh heh heh I love this place. It's like walking through an
eccentric street market where traders call out their wares
"GETCHYOUR P-TIME 2 for 1 logico-computational really real
structure today only"
"Assuming comp only, that's right comp only. Theology but done like
science. Madam you are ugly but I will be sober in the morning. You
there, you reek of not-comp, get lost. Ah sir, did you like the
dreams? Same again?"
"GETCHOR P-TIME..,."
--
You received this message because you are subscribed to the Google
Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from it,
send an email to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/groups/opt_out.
--
You received this message because you are subscribed to the Google
Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from it,
send an email to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/groups/opt_out.
http://iridia.ulb.ac.be/~marchal/
--
You received this message because you are subscribed to the Google Groups
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/groups/opt_out.
