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Knowledge Puzzles

By Roy D. Follendore III

Copyright © 2002 RDFollendoreIII

 

September 13, 2002

 Anyone who has ever put together a large and complex picture puzzle will understand that it is possible to put a puzzle together wrong and yet have the physical pieces fit properly.  The reason why the wrong pieces can fit together perfectly in different ways is the border of each piece.  In a picture puzzle, this is a random occurrence having to do with the number of types of shapes with respect to making a number of different pieces.  Because typical picture puzzle images obey specific optical properties related to depth and context of visual composition, one can usually immediately see that the piece, though it fits is incorrectly placed.

 It is possible however to create a puzzle that can be fit together in different ways to form different scenes.  The difficulty and the desirable quality of the various results would depend on the number of pieces, the composition and more importantly the necessity of using all of the pieces to form each of the different possible images.  One advantage of doing this from a puzzle designers perspective would be to give puzzlers more opportunities to enjoy the product. This would increase the durability of the product because such a puzzle would not simply be used just once and thrown away as most puzzles are.  Imagine a picture puzzle that is not based on a single image, but on many possible images depending on how it was combined.  This would change the fundamental nature of an existing picture puzzle.

 Premonition is a puzzle machine that uses cryptographic rational and logical context to associate pieces.

 Think of useful knowledge as a puzzle montage containing irregular pieces that can fit together in limited number of ways.  These pieces may consist of different words and numbers we can call data, longer pieces of data that we can call information, longer and more complete information that we can call knowledge, as well as knowledge that are also pieces.  In addition to these kinds of pieces, there are digital images, graphs, charts, digital videos, and sounds that are also pieces.

 There are many obvious differences between the concept that I am presenting in Premonition and a picture puzzle. Among the differences, the potential number of puzzle pieces can be much larger.  The combinatorial limitations associated with physical edges of the picture puzzle are eliminated.  The nature of knowledge as content is not rigid so that there can be more potentially useful and interesting results.

 Assume that we were to take a physical library and break up the contents of the books in a variety of rational and logical ways.  If we chose to isolate every individual word and then associate them back together there is no doubt that it would be possible to not only recreate the original library, but to create far more since it is the fundamental principle of original writing to fit together words in new and different ways.  However, in practice it is not necessary to always fit words together.

We may also choose to utilize sentences, phrases, paragraphs and even entire chapters and works in a similar manner.  Anthologies of stories are a good example of this.  The manner in which we associate different stories result in different analogies.  In today’s digital libraries, anthologies also may incorporate images, sound tracks, and video segments, which can further change the analogous meaning of the overall work.  In considering, the nature and relationship of a particular piece of knowledge to data, information and other knowledge we can see that like puzzle pieces the components of knowledge can be seen as both independent and interdependent pieces. 

 We must therefore conclude that components of this knowledge puzzle can be rearranged and presented in more than one way.  If this is true then we must also conclude that the rearrangement of knowledge components is capable of creating potential new knowledge.  This potential new knowledge may or may not be useful, just as a rearrangement of words may or may not create a useful sentence.  We have previously considered visual context with respect to picture puzzles. 

Context is therefore an essential part of all puzzles and context is an essential part of the search for new knowledge.  The question of context for those who solve puzzles is therefore not “What should we search for?” but rather “What various useful contexts can be made from the rearrangements of our puzzle parts?”  The logical reason why this is so important is that it makes the search for the best potential solution doable.  The first question is open ended and infinite while the second question is bounded and finite. 

At this point, it is most important to note that in creating a useful puzzle search of knowledge we must be able to choose from a qualifiedly viable potential set, rather than simply a potential arrangement pieces.  In our extended concept of a knowledge puzzle, the finite number of pieces and the limitation of their contextual associations determine the potential useful arrangements.

The concept of fit is also important, as there can be direct and indirect reasons why knowledge puzzle pieces should and should not have contextual relevance.  The relevant fitness of juxtapositions may be influenced by the lack of access to other pieces of the puzzle.  Since search is affected by knowledge of relevance, it is important that accessibility of puzzle pieces remains accountable. 

How this critical concern and other aspects of creating and utilizing a knowledge puzzle may be accomplished is beyond the objectives of this paper.  However, it must be noted that a solution is possible.

Through Premonition, I have shown that this can be accomplished directly through integrated cryptographic procedures. The use of cryptography therefore serves to inherently a number of purposes by binding relevance of puzzle pieces to user context.  I have demonstrated that root cryptographic processes can be simultaneously used to maintain the continuity of search relevance, direct puzzle linkages, transports and presentation hooks, as well as complex fine grain filtering and securing multilevel authenticated content and user privacy. 

These activities are currently only possible independently through cumbersome and expensive subsystems that cannot be cost effectively designed to work together in such an integrated fashion.  An examination of the technology to create, control, and manage knowledge puzzles will show that tightly embedded application of cryptographic techniques can create new independent solutions as well as new massively distributed applications. 

It is completely understandable why cryptographic solutions are obscure and arcane.  Perhaps the most difficult aspect of research and engineering involves explanation.  Moreover, within integration and simplification arises the complexity of relating and communicating justifications.  Within complex process designs, what is obvious to the inventor is often not to the observer. It is my sincere hope that has been explained here is understandable and can be seen in terms of potential relevance.

Knowledge Puzzles (KP) is an analogous term that I have chosen to coin within this paper as a means to describe in an understandable manner the general overall concepts, ideas, and ideals of my research.  (Any relationship to the use of such a term is strictly coincidental.)  The basic relevance of my research has already been demonstrated within my original concept of Virtual Private Networking (VPN).  KP is a far more extendable and useful concept.  VPN is about the economic context of virtual connectivity of systems.  Potential applications for KP extend from virtual connectivity through physical, rational, and logical dimensions of economic knowledge creation, management, and secure control.  KP therefore represents a general class of tools.

More information about Premonition and my research and theories, including my patents, and numerous white papers can be found at www.noisetoknowledge.com/science.htm .

 

 

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Copyright (c) 2001-2007 RDFollendoreIII All Rights Reserved