Teoría de los problemas complejos

This paper brings forth a theory of complex problems, distinguishing when and why a problem can be said to be complex, and when and why not. A world of non-zero sum, highly intertwined, with multiple sensitivities, with systemic and systematic crises requires a theory of complex systems, which does not exist today. Negatively said, analytical understandings and approaches are insufficient. It is needed, we argue, a synthetic structure regarding problems. Henceforth three axes emerge as referents: mathematical knots theory, theory of computational complexity, and the wicked problems. This paper consists of a synthesis of the three axes, and develops a theory for problems highly intertwined, dynamic, difficult, and with strong implications in various levels and contexts. A fourth section is devoted to the study of how the epistemology of the social sciences can benefit from the theory of complex systems.