Geometry and probability unified

Background. We may ask a number of questions about the nature of the relationship between geometry and probability. Can both accurately model objective reality at all while the same is changing permanently? Methods. Various aspects of the relationship between geometry and probability have been re-investigated while relying on a hypothetico deductive method. Results. It turns out that an interplay between two basic theorems of geometry, Euclid's theorem and Pythagorean theorem, is a possible theoretical foundation of probability theory too. Conclusion. Geometry as a framework of systematic logical thinking is unified with probability theory.\href{https://doi.org/10.5281/zenodo.6462825}{Zenodo