Welcome to our icis2018 in PKU




------------------ Original ------------------
From: Burgin, Mark <mbur...@math.ucla.edu>
Date: ????,3?? 29,2018 5:11 ????
To: tozziarturo <tozziart...@libero.it>, fis <fis@listas.unizar.es>
Subject: Re: [Fis] Welcome to Knowledge Market and the FIS Sci-coins

                   Dear Arturo,
           Set theory is a particular case of named set theory. If set theory 
solves some problem, then named set theory solves the same problem.           
Use logic and some knowledge and you'll see truth.
     On 3/21/2018 11:48 PM,       tozziart...@libero.it wrote:
Dear Mark, 
the named set theory does not solve the Russell paradox.
Therefore  it would be better to use, in such approaches, the         best 
theory available, i.e., the Fraenkel-Zermelo sets.  
In turn, the latter displays some limits: for example, the need         of a 
set with infinite elements.  
Therefore, set theory is not able to tackle information         problems.
You have to go back to other mathematical approaches.  
       Il 21 marzo 2018 alle 23.42 "Burgin, Mark"         
<mbur...@math.ucla.edu> ha scritto: 
         Dear Krassimir and other FISers, 
         After reading the interesting contribution of Krassimir, I would       
  like to share with you some of my impressions and ideas. 
         I like very much the term INFOS suggested by Krassimir. It??s         
possible to suggest that Krassimir assumed the following         definition. 
         An INFOS is a system functioning (behavior) of which is         
regulated by information. 
         This definition implies that each INFOS has an information         
         Then it is possible to distinguish different categories and         
types of INFOS. For instance: 
              INFOS only with acceptors/receptors 
              INFOS only with effectors 
              INFOS with both acceptors/receptors and effectors 
         Then it is possible to develop an interesting theory of INFOS. 
         At the same time, the difference between reality and         
consciousness needs improvement because what many people mean         using the 
word reality is actually only one of the variety of         realities, namely, 
the physical or material reality, while         consciousness is a part of the 
mental reality. It is possible to         find more information about different 
realities and their         interaction in the book (Burgin, Structural 
Reality, 2012).         Please, don??t confuse Structural Reality with virtual 
         One more issue from the interesting contribution of Krassimir,         
which allows further development, is the structure of a model.         Namely, 
the relation (s, e, r) between a model s of an entity r         forms not 
simply a triple but a fundamental triad, which is also         called a named 
         Why this is important? The reason to conceive the structure (s,        
 e, r) as a fundamental triad or a named set is that there is an         
advanced mathematical theory of named sets, the most         comprehensive 
exposition of which is in the book (Burgin, Theory         of Named Sets, 
2011), and it is possible to use this         mathematical theory for studying 
and using models. For instance,         the structure from Figure 1 in 
Krassimir??s letter is a morphism         of named sets. Named set theory 
describes many properties of         such morphism and categories built of 
named sets and their         morphism. The structures from Figure 2 in 
Krassimir??s letter are         chains of named sets, which are also studied in 
named set         theory. 
         To conclude it is necessary to understand that if we want to         
apply mathematics in some area it is necessary to use adequate         areas of 
mathematics. As Roger Bacon wrote, All science requires         mathematics, 
but mathematics provides different devices that are         suited to different 
input. In this respect, when you give good         quality grains to a 
mathematical mill, it outputs good quality         flour, while if you put the 
same grains into a mathematical         petrol engine, it outputs trash. 
         The theory of named sets might be very useful for information         
studies because named sets and their chains allow adequate         reflection 
of information and information processes. 
         On 3/11/2018 3:34 PM,           Krassimir Markov wrote: 
Dear                       Colleagues,
This letter                       contains more than one theme, so it is 
structured                       as follow:
- next step in                       ??mental model?? explanation;
- about                       ??Knowledge market??, FIS letters?? sequences and 
FIS                       Sci-coins.
1. The                         next step in ??mental model?? explanation:
Let remember                       shortly my letter from 05.03.2018.
To avoid                       misunderstandings with concepts Subject, agent,  
                     animal, human, society, humanity, living                   
    creatures, etc., in [1] we use the abstract                       concept 
??INFOS?? to denote every of them as well as                       all of 
artificial creatures which has features                       similar to the 
former ones.
Infos has                       possibility to reflect the reality via 
receptors                       and to operate with received reflections in its 
                      memory. The opposite is possible - via effectors          
             Infos has possibility to realize in reality some                   
    of its (self-) reflections from its consciousness.
The                       commutative diagram on Figure 1 represents            
           modeling relations. In the frame of diagram:
- in reality:                       real models: s is a model of r, 
- in                       consciousness: mental models: si is a                
       mental model of ri;
- between                       reality and consciousness: perceiving data and  
                     creating mental models:  triple (si, ei, ri)               
          is a mental model of triple (s, e, r).
It is easy to                       imagine the case when the Infos realizes 
its                       reflections using its effectors, i.e. relation        
               between consciousness and reality: realizing                     
  mental models and creating data. In this case the                       
receptors?? arrows should be replaces by opposite                       
effectors?? arrows. In this case triple (s, e, r)                       is a 
realization of the mental model (si,                       ei, ri).

Figure 1
After creating                       the mental model it may be reflected by 
other                       levels of consciousness. In literature several      
                 such levels are described. For instance, in [2],               
        six levels are separated for humans (Figure 2).                       
The complexity of Infos determines the levels. For                       
instance, for societies the levels are much more,                       for 
animals with no neo-cortex the levels a less.                     
Figure 2.                         [2] 
This means                       that the mental models are on different        
               consciousness levels and different types (for                    
   instance - touch, audition, vision). 
In [2], Jeff                       Hawkins had remarked: ??The transformation?? 
from                       fast changing to slow changing and from spatially    
                   specific to spatially invariant?? is well                    
   documented for vision. And although there is a                       smaller 
body of evidence to prove it, many                       neuroscientists 
believe you'd find the same thing                       happening in all the 
sensory areas of your cortex,                       not just in vision?? [2]. 
As it is shown                       on Figure 2 mental models are in very 
large range                       from spatially specific to spatially 
invariant;                       from fast changing to slow changing; from      
                 ??features?? and ??details?? to objects??.
To be                       continued...
2.Aabout                         ??Knowledge market??, FIS letters?? sequences 
and                         FIS Sci-coins.
The                       block-chain idea is not new. All forums and           
            mailing lists have the possibility to organize                      
 incoming messages in internally connected                       sequences. The 
new is the Bit-coin, i.e. the price                       for including a 
message in the sequence received                       after successful solving 
a difficult task.
What we have                       in FIS are letters?? sequences already 
created for                       many years. What is needed to start using 
them is                       to be strictly when we answer to any letter not 
to                       change the ??Subject?? of the letter. The list         
              archive may help us to follow the sequences - only                
       what is needed to ask sorting by [                           Subject ]. 
We may sort by [                           Thread ] [                           
Subject ] [                           Author ] [                           Date 
This means                       that the letter corresponds to the block, and 
the                       sequence of letters corresponds to the chain. 
What about the                       currency? 
In [3] we had                       introduced the new concept ??Knowledge 
marked??. It                       is remembered in [4] where the approach for  
                     measuring the scientific contributions was                 
      proposed. It was proposed to use the ??paper?? as                       
basic measurement unit. Now I may say, the paper                       is our 
??Sci-coin??. This Sci-coin is convertible to                       real 
currencies - it is wide accepted the price of                       a paper to 
be downloaded as pdf-file is about                       30-35 EURO or USD.
Finally, the                       paper ??Data versus Information?? [5] is an 
example                       of a FIS Sci-coin mined from the letters??        
As we had                       seen, it is not so easy to ??mine the 
Friendly                       greetings
[1] Kr.                       Markov, Kr. Ivanova, I. Mitov. Basic Structure of 
                      the General Information Theory. IJ ITA, Vol.14,           
            No.: 1, 2007. pp. 5-19.
[2] Hawkins,                       Jeff (2004). On Intelligence (1st ed.). 
Times                       Books. p. 272. ISBN 0805074562. 
[3] K. Markov,                       K. Ivanova, I. Mitov, N. Ivanova, A. 
Danilov, K.                       Boikatchev. Basic Structure of the Knowledge  
                     Market. IJ ITA, 2002, V.9, No.4, pp. 123-134.
[4] Kr.                       Markov, Kr. Ivanova, V. Velychko, ??Usefulness of 
                      Scientific Contributions??, International Journal         
              ??Information Theories and Applications??, Vol.20,                
       Number 1, 2013, ISSN 1310-0513 (printed), ISSN                       
1313-0463 (online), pp. 4-38.
[5] Krassimir                       Markov, Christophe Menant, Stanley N 
Salthe, Yixin                       Zhong, Karl Javorszky, Alex Hankey, Loet    
                   Leydesdorff, Guy A Hoelzer, Jose Javier Blanco               
        Rivero, Robert K. Logan, Sungchul Ji, Mark                       
Johnson, David Kirkland, Gordana Dodig-Crnkovic.                       Data 
versus Information. International Journal                       ??Information 
Theories and Applications??, Vol. 24,                       Number 4, 2017, 
ISSN 1310-0513 (printed), ISSN                       1313-0463 (online), pp. 
303 -321. 
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Arturo Tozzi
AA Professor Physics,               University North Texas
Pediatrician ASL Na2Nord, Italy
Comput Intell Lab, University Manitoba

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