That is an interesting paper. Unfortunately, as I tried to follow up with their 
references I quickly discovered that the reference I landed on was written in a 
technical (abstract) form that I could not interpret. Although I think 
mathematics and formalizations expressed in mathematical terms are useful I do 
not think that mathematical formalizations are going to solve NLP dilemmas 
unless they are accompanied by and followed by a lot more mundane programming.  
It is like they keep banging their heads on the problem and then they go off 
and try to solve it with the methods that caused the problem in the first 
place. Formal methods typically follow informal methods. In those rare moments, 
like Cauchy's theory of limits, where the formal method does solve an 
outstanding problem, it solves what we might call a narrow problem. That is not 
to say that solutions to narrow problems never unleash new ways to analyze 
other problems but once a bottleneck problem is solved it will take time for 
developers to use that solution to *solve *all the other problems that the new 
narrow method might be applied to. The use of filtering methods to build more 
complicated *objects* of knowledge is a fundamental method of effective 
compression for objects of knowledge.
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