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
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