A dialectical based model coherent with inventive problems and optimization problems

In the board of problem solving methods, one can traditionally distinguish two kinds of problems: problems that can be solved by optimization methods and inventive problems which require changing the model of problem. For inventive problems, dialectical thinking brings benefits, as it requires collecting empirical knowledge about the mechanisms of the phenomenon to understand their evolution. The frame to formulate problems in dialectical based approaches is the contradiction. To be discriminative between solutionless problems and inventive ones, such a frame should fit the condition: a contradiction exists when no solution can be found, and a solution exists when no contradiction can be fitted. In this article the non satisfaction of the requirement for existing frames will be demonstrated and a frame that fit this requirement will be proposed