Discovering the discovery of Linguistic Geometry

Linguistic Geometry (LG) is a type of game theory for extensive discrete games scalable to the level of real life defense systems. This scalability is based on changing the paradigm for game solving—from search to construction. LG was developed by generalizing experiences of the advanced chess players. LG is a formal model of human reasoning about armed conflict, a mental reality “hard-wired” in the human brain. It appears that this algorithm, an evolutionary product of millions of years of human warfare, served in its turn as the principle mover for evolution of human intelligence. Its special role in human history and its relationship to the Primary Language of the human brain (as introduced by J. Von Neumann) suggest that the experiences of development of LG must be instructive for solving another major puzzle, discovering the Algorithm of Discovery. This algorithm should be an ancient component of the Primary Language as well. This paper refining our experiences of discovering LG reports the first results of this research.

[1]  J. Hadamard,et al.  The Psychology of Invention in the Mathematical Field. , 1945 .

[2]  Boris Stilman,et al.  Linguistic Geometry: The Age of Maturity , 2010, J. Adv. Comput. Intell. Intell. Informatics.

[3]  Boris Stilman,et al.  LG-PACKAGE: New Frontier , 2010, Polytech. Open Libr. Int. Bull. Inf. Technol. Sci..

[4]  S. Kosslyn,et al.  Topographical representations of mental images in primary visual cortex , 1995, Nature.

[5]  Boris Stilman,et al.  LG wargaming tool for effect-based operations , 2002, SPIE Defense + Commercial Sensing.

[6]  James Gleick.  Complexities of Feynman. (Book Reviews: Genius. The Life and Science of Richard Feynman.) , 1992 .

[7]  James Robert Brown,et al.  The Laboratory of the Mind: Thought Experiments in the Natural Sciences , 1993 .

[8]  Boris Stilman,et al.  Strategies in Large-Scale Problems , 2006 .

[9]  Arthur I. Miller.  Insights of genius : imagery and creativity in science and art , 1997 .

[10]  Boris Stilman,et al.  Network languages for concurrent multiagent systems , 1997 .

[11]  Boris Stilman,et al.  Adversarial reasoning and resource allocation: the LG approach , 2005, SPIE Defense + Commercial Sensing.

[12]  S. Dehaene.  A Few Steps Toward a Science of Mental Life , 2007 .

[13]  Boris Stilman,et al.  Managing search complexity in linguistic geometry , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[14]  Boris Stilman,et al.  The Primary Language of ancient battles , 2011, Int. J. Mach. Learn. Cybern..

[15]  Boris Stilman.  From Search to Construction , 2000 .

[16]  Boris Stilman.  Network languages for complex systems , 1993 .

[17]  Seyed-Hamid Zahiri.  Classification rule discovery using learning automata , 2012, Int. J. Mach. Learn. Cybern..

[18]  Boris Stilman.  Linguistic Geometry: From Search to Construction , 2000 .

[19]  W. McEneaney,et al.  Adversarial Reasoning: Computational Approaches to Reading the Opponent's Mind , 2006 .

[20]  Mikhail M. Botvinnik.  Computers in chess - solving inexact search problems , 1984, Springer series in symbolic computation.

[21]  Boris Stilman,et al.  Deception discovery and employment with linguistic geometry , 2005, SPIE Defense + Commercial Sensing.

[22]  Boris Stilman.  Translations of network languages , 1994 .

[23]  Boris Stilman,et al.  Knowledge Acquisition and Strategy Generation with LG Wargaming Tools , 2002, Int. J. Comput. Intell. Appl..

[24]  S. Ulam,et al.  Adventures of a Mathematician , 2019, Mathematics: People · Problems · Results.

[25]  John von Neumann,et al.  The Computer and the Brain , 1960 .

[26]  Boris Stilman.  A linguistic approach to geometric reasoning , 1993 .

[27]  Huiru Zheng,et al.  Improving pattern discovery and visualisation with self-adaptive neural networks through data transformations , 2012, Int. J. Mach. Learn. Cybern..

[28]  Boris Stilman,et al.  Winning strategies for robotic wars: defense applications of linguistic geometry , 2000, Artificial Life and Robotics.