[Fis] It-from-Bit and information interpretation of QM

[John Collier]

Sorry Loet, but I just don't see the need for an observer. I do think the difference must be by something to something (perhaps the same thing) but Koichiro's formulation implies this.  Again, I warn against unneeded complication.


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-------- Original message --------
From: Loet Leydesdorff
Date:27/06/2015 10:00 (GMT+02:00)
To: 'Koichiro Matsuno' ,John Collier ,'fis'
Subject: RE: [Fis] It-from-Bit and information interpretation of QM

Koichiro: "In order to make them decidable or meaningful, some qualifier must definitely be needed. A popular example of such a qualifier is a subjective observer."

"A difference that makes a difference" for a qualifier, thus requires specification of:

1.      The first difference;

2.      The second difference;

3.      The qualifier (e.g., the observer).

The first difference can be measured using Shannon-type information, since a probability distribution can be considered as a set of (first-order) differences. Brillouin tried to specify the second difference as a ?H. ?H can also be negative ("negentropy"). But how does one proceed to the measurement?

Best,
Loet

________________________________
Loet Leydesdorff
Emeritus University of Amsterdam
Amsterdam School of Communication Research (ASCoR)
loet at leydesdorff.net <mailto:loet at leydesdorff.net> ; http://www.leydesdorff.net/
Honorary Professor, SPRU, <http://www.sussex.ac.uk/spru/> University of Sussex;
Guest Professor Zhejiang Univ.<http://www.zju.edu.cn/english/>, Hangzhou; Visiting Professor, ISTIC, <http://www.istic.ac.cn/Eng/brief_en.html> Beijing;
Visiting Professor, Birkbeck<http://www.bbk.ac.uk/>, University of London;
http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en

From: Fis [mailto:fis-bounces at listas.unizar.es] On Behalf Of Koichiro Matsuno
Sent: Saturday, June 27, 2015 9:04 AM
To: 'John Collier'; 'fis'
Subject: Re: [Fis] It-from-Bit and information interpretation of QM

At 4:00 AM 06/27/2015, John Collier wrote:

I also see no reason that Bateson's difference that makes a difference needs to involve meaning at either end.

[KM] Right.  The phrase saying "a difference that makes a difference" must be a prototypical example of second-order logic in that the difference appearing both in the subject and predicate can accept quantification. Most statements framed in second-order logic  are not decidable. In order to make them decidable or meaningful, some qualifier must definitely be needed. A popular example of such a qualifier is a subjective observer. However, the point is that the subjective observer is not limited to Alice or Bob in the QBist parlance.

   Koichiro



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