On a Crucial Problem in Probabilities, and Solution

First the crucial but very confidential fact is brought into evidence that – as Kolmogorov himself repeatedly claimed – there exists no abstract theory of probabilities, simply because the factual concept of probability is itself unachieved : it is nowhere specified how to construct the factual probability law to be asserted on a given physical random phenomenon. Then an algorithm of semantic integration is built that permits to identify this factual probability law. This article is dedicated to Giuseppe Longo with whom I had several interesting exchanges concerning probabilities.