On the spectrum of the degree of separation

Y. B. Karasik,
Thoughts Guiding Systems Corp.,
Ottawa, Canada.

As has been discovered by me back in 1974 [1, 2, 3, 4, 5] all physical contradictions are resolved by separating contradictory requirements between some opposites. The opposites have different strength, or degree of separation. At the one end of the spectrum are such opposites as ACCOMPLISHED and NOT ACCOMPLISHED (or IMPLEMENTED and NOT IMPLEMENTED, etc.) Separation contradictory requirements A and not-A between these opposites loks as follows: A is accomplished/implemented but not-A is not accomplished (or not implemented). It is easy to see that separation between such opposites amounts to not solving contradiction at all, but just making do with the extreme trade off.

At the other end of the spectrum are separation between SPACE and TIME [5] (not to confuse with separation in space or in time). All other separations lie in between. Separation contradictory requirements A and not-A between space and time means that there is no A in space but only in time whereas there is no not-A in time but only ion space.

Separation between SPACE and TIME is stronger than separation between different locations in space-time. The latter is stronger than separation between PARTS and THE WHOLE, which is stronger than separation between THE FORM and THE CONTENT, which is stronger than separation between RANDOM COMPONENT and DIRECTED COMPONENT, etc.

The degree of separation, that a pair of opposites provides, is an important measure of the degree of contradiction resolution.

R E F E R E N C E S:

  1. Y. B. Karasik, Mathematical elements of the theory of heuristic methods, (in "Towards general theory of creativity", G.S. Altshuller ed.), published by The Public Laboratory for Inventor's Creativity (OLMI), Baku, 1974 ( in Russian).
  2. Y. B. Karasik, On a method of contradictions resolution, Samizdat, Baku, 1976 (in Russian).
  3. Y. B. Karasik, Analysis of mechanisms of contradictions overcoming arising in the course of solving scientific and engineering problems, Samizdat, Baku, 1978 (in Russian).
  4. Y. B. Karasik, Studies on dualities, Technology & Science magazine, No. 4, April, 1980 (in Russian).
  5. Y. B. Karasik, Inventiveness as belief revision and a heuristic rule of inventive design, Proceedings of the 13th International Conference on Industrial and Engineering Applications of Artificial Intelligence and Expert Systems (IEA/AIE-2000), New Orleans, LA, USA, 2000 (Springer Verlag Notes in Computer Science, Vol. 1821, pp. 328--333.)