Just name the string "Bob" and output Bob.
Brent
On 3/10/2021 2:55 PM, Jason Resch wrote:
I believe Chaitin has a definition of randomness that works for finite
strings. If I remember correctly it has to do with the length of the
shortest program that outputs the string being longer than the string
itself.
Jason
On Wed, Mar 10, 2021, 3:43 PM 'Brent Meeker' via Everything List
<everything-list@googlegroups.com
<mailto:everything-list@googlegroups.com>> wrote:
On 3/10/2021 7:15 AM, Bruno Marchal wrote:
On 10 Mar 2021, at 00:19, 'Brent Meeker' via Everything List
<everything-list@googlegroups.com
<mailto:everything-list@googlegroups.com>> wrote:
On 3/9/2021 2:00 PM, Bruce Kellett wrote:
On Wed, Mar 10, 2021 at 6:00 AM Jason Resch
<jasonre...@gmail.com <mailto:jasonre...@gmail.com>> wrote:
On Tue, Mar 9, 2021 at 9:41 AM Lawrence Crowell
<goldenfieldquaterni...@gmail.com
<mailto:goldenfieldquaterni...@gmail.com>> wrote:
Nothingness is a paradoxical thing. Does nothingness
exist? If so, then by having existential properties it
is not pure nothingness. If nothingness does not exist
then there must exist something. In a sense God is the
antithesis of nothingness and in a sense shares the
same paradoxical issue.
There is a strange and paradoxical sort of identity between
/nothing/ and /everything/, particularly as it relates to
information theory. Insofar as the total set of all
possibilities has zero information content.
Even if it tells us what is not possible? I think you're
getting in over your head. What kind of "possible" to you
mean? Simple not self-contradictory? Nomological? Or what?
A random message string can contain zero information, but still
exist -- written on a piece of paper, for example.
I agree with your basic point, but a random string carries
maximum information, per Shannon. That's why maximally
compressed string looks random; although you can't really define
random in the information theoretic sense for finite strings.
You can define randomness for finite strings, up to a constant.
What does it mean "up to a constant"?
Most universal machine will agree on some large string being
random, but can differ on strings shorter than themselves, say.
See the book by Calllude on the randomness of finite string.
This is usually defined first, and then an infinite sequence is
said to be random if almost all his initial segments are.
Even with only two "l"s in his name, I find no reference to him.
If you have a finite string you can just adopt a notation in which
it has a short name, "Bob", and then it's Kolomogorov complexity
is that of "Bob". So I don't see by what definition you can prove
a finite string to be random.
Brent
Bruno
Brent
This idea that zero information equates to 'nothing' is just an
elementary confusion of categories.
This is the main subject of Russell Standish's book: Theory
of Nothing: https://www.hpcoders.com.au/nothing.html
<https://www.hpcoders.com.au/nothing.html>
That is why Russell got so many things wrong in this book.
Bruce
--
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
everything-list+unsubscr...@googlegroups.com
<mailto:everything-list+unsubscr...@googlegroups.com>.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/CAFxXSLTXSHt%3DASkdBiA%2Bh_-4d3FCAHMX7puXWq9_1tG%3DnjbXSg%40mail.gmail.com
<https://groups.google.com/d/msgid/everything-list/CAFxXSLTXSHt%3DASkdBiA%2Bh_-4d3FCAHMX7puXWq9_1tG%3DnjbXSg%40mail.gmail.com?utm_medium=email&utm_source=footer>.
--
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
everything-list+unsubscr...@googlegroups.com
<mailto:everything-list+unsubscr...@googlegroups.com>.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/60facf25-7c8b-1cd6-a1fc-f20d80406479%40verizon.net
<https://groups.google.com/d/msgid/everything-list/60facf25-7c8b-1cd6-a1fc-f20d80406479%40verizon.net?utm_medium=email&utm_source=footer>.
--
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 everything-list+unsubscr...@googlegroups.com
<mailto:everything-list+unsubscr...@googlegroups.com>.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/386FCCCB-5232-4ED9-87DB-8A6C4EFD2E0A%40ulb.ac.be
<https://groups.google.com/d/msgid/everything-list/386FCCCB-5232-4ED9-87DB-8A6C4EFD2E0A%40ulb.ac.be?utm_medium=email&utm_source=footer>.
--
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 everything-list+unsubscr...@googlegroups.com
<mailto:everything-list+unsubscr...@googlegroups.com>.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/ad09055f-874c-59d3-bf91-868b8bc962b2%40verizon.net
<https://groups.google.com/d/msgid/everything-list/ad09055f-874c-59d3-bf91-868b8bc962b2%40verizon.net?utm_medium=email&utm_source=footer>.
--
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 everything-list+unsubscr...@googlegroups.com
<mailto:everything-list+unsubscr...@googlegroups.com>.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/CA%2BBCJUixuxUcPwWCaQU_ftwP7jgPtnOfXQVq4-xNfAR6N7026A%40mail.gmail.com
<https://groups.google.com/d/msgid/everything-list/CA%2BBCJUixuxUcPwWCaQU_ftwP7jgPtnOfXQVq4-xNfAR6N7026A%40mail.gmail.com?utm_medium=email&utm_source=footer>.
--
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 everything-list+unsubscr...@googlegroups.com.
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/05597f48-392d-65fb-eb80-781d4cdceaaf%40verizon.net.
