Brain and its Mathematics

by Subhajit Ganguly

Taking abstraction as the starting point, we build a complex, self-organizing fuzzy logic system. Such a system, being built on top of abstraction as the base, turns out to be just a special outcome of the laws of abstraction. As the system is self-organizing, it runs automatically towards optimization. Using such a system in neural networks, we may come as close as possible to the workings of the human brain. The abstract fuzzy optimization is seen to follow a Gaussian distribution. Our aim is to help build a machine that can reduce the possibility of mishaps in navigation to zero. For that devise a new system of numbers, in which the real numbers are represented on the y-axis and complex numbers on the x-axis. Inside such a system, we incorporate the equivalent Ideal Fuzzy Logic that can be used by the machine to predict and avoid mishaps.

50 pages, Kindle Edition

First published December 20, 2014

About the author

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Subhajit Ganguly is the Executive Director of Lawrence Anthony Earth Organization, India (Kolkata) and works for restoring the balance in the natural environment. He is a physicist whose areas of expertise include the Theory of Abstraction. His contribution to the theory is noteworthy, to say the least. The other areas of science, that he has made notable contributions to include astronomy, mathematics and the Chaos Theory. Zero-postulation is a new concept he has introduced to the theorizing process in sciences. He has also made noteworthy contribution towards deciphering the Indus Valley Civilization script. He has been an active member of various Open Science Movements for quite some time now and advocates Open Access and Open Data. Subhajit is the Ambassador for the Open Knowledge Foundation (OKFN), India. The Open Education and Open Data projects, Initiated by Subhajit, has attained considerable success within a short span. He also wears the hat of being a public speaker too from time to time. Besides being an acclaimed author of nonfiction, he has numerous works of fiction to his credit. At various times, he has written for various blogs and magazines. Besides writing in English, he also writes poems in Bengali. You can reach Subhajit Ganguly at: gangulysubhajit63@gmail.com. You can also follow him on twitter at: https://twitter.com/subhajitganguly.