Mathematical Proof

Mathematical proof is a process of reasoning by given rules from a set of axioms (which are assumed to be true) to a valid conclusion which we call a "theorum". Because of the abstract character/nature of mathematics, we cannot expect to prove anything about our physical world by purely mathematical means.

-- An Alternative Approach to the Design of Image Processing Algorithms, by Dr. James O. Gouge 1997, Library of Congress

Website: http://www.machineinteltech.com/

The Nature of Discoveries

No individual or small minority group is always right, but the majority is almost always wrong.
Example: Discoveries are made by one and sometimes two or three individuals, but never by a committee. Look at Albert Einstein and Nicola Tesla, two of the greatest minds that ever lived. They had nothing but disdain for groups of their peers.

--A life-long observation by Dr. Gouge

Website: http://www.machineinteltech.com/

Ingenuity

Intellectual Teaser

The true measure of the gift of ingenuity is not the ability to postulate complex solutions to seemingly complex problems, but rather to distill and design relatively simple, practical, and even elegant solutions to these problems. This should be the essence of all scientific research.

From my book entitled, "An Alternative Approach to the Design of Image Processing Algorithms". Available in the Library of Congress.

Website: http://www.machineinteltech.com/