According to the Millennium Project, the biggest  
global challenges facing humanity are those illustrated in the image  
above. The image conveys a holistic message which some of us already  
appreciate: everything is connected with everything else. The economy  
isn't indicated explicitly in the above image but, evidently, it's  
there, just as the industry, commerce, finance, religions, etc. Indeed a
  very complex scenario. The point is not to list everything but to  
merely point out that we live in a highly interconnected and dynamic  
world. We of course agree with the above picture.
As we have repeatedly pointed out in our previous articles, under similar circumstances:
- it is impossible to make predictions - in fact, even the  
current economic crisis (of planetary proportions) has not been forecast
 
- only very rough estimates can be attempted
 
- there is no such thing as precision
 
- it is impossible to isolate "cause-effect" statements as everything is linked
 
- optimization is unjustified - one should seek acceptable solutions, not pursue perfection
 
 
The well known Principle of Incompatibility states in
  fact that "high precision is incompatible with high complexity".  
However, this fundamental principle, which applies to all facets of  
human existence, as well as in Nature, goes unnoticed. Neglecting the  
Principle of Incompatibility constitutes a tacit and embarrassing  
admission of ignorance. One such example is that of ratings. While the  
concept of rating lies at the very heart of our economy, and, from a  
point of view of principle, it is a necessary concept and tool,  
something is terribly wrong. A rating, as we know, measures the  
Probability of Default (PoD). Ratings are stratified according to  
classes. One example of such classes is shown below:
Class     PoD
1              =<0.05%
2              0.05% - 0.1%
3              0.1% - 0.2%
4              0.2% - 0.4%
5              0.4% - 0.7%
6              0.7% - 1.0%
etc.
A rating affects the way stocks of a given company  
are traded - this is precisely its function. What is shocking in the  
above numbers, however, is the precision (resolution). A PoD of 0.11% 
puts a company  in class 3, while a 0.099 in class 2. How can this be so?
 Isn't the  world  supposed to be a highly complex system? Clearly, if 
even a crisis  of planetary proportions cannot be forecast, it not only 
points to high  complexity (see the Principle of Incompatibility) but it
 also says a  lot about all the Business Intelligence technology that is
 used in  economics, finance, or management and decision making. So, 
where does  all this precision in ratings come from? From a parallel 
virtual  universe of equations and numbers in which everything is 
possible but  which, unfortunately, does not map well onto reality. But 
the  understanding of the real universe cannot be based on a parallel 
virtual  universe which is incorrect.
The above example of PoD stratification reflects very
  little understanding of Nature and of its mechanisms. In fact, 
economic  crises of global proportions suddenly happen. As Aristotle 
wrote in  his Nikomachean Ethics: an educated mind is distinguished 
by the fact  that it is content with that degree of accuracy which the 
nature of  things permits, and by the fact that it does not seek 
exactness where  only approximation is possible. 
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