Critical knowledge and positive knowledge: on the importance of negative results

The access to scientific knowledge is a construction of objectivity that needs the critical insight of “negative results”. These are the explicit construction of internal limits to current theories and methods. We shall hint to the role of some results that, in Mathematics and in Physics, started new areas for knowledge, by saying “no: we cannot compute this, we cannot decide that…” The idea is that both the sciences of life and cognition need similar results, in order to set limits to the passive transfer of physico-mathematical methods into their autonomous construction of knowledge.