Articles
Abstract
XI Crisis of thought of the theorists of the foundations of mathematics
April 2022. A supposedly consistent theory of the transfinite is postulated as part of the foundations of mathematics, despite being confirmed already a century ago to be inconsistent with reality. This thinking of the theorists of foundations of mathematics reveals disregard for the criteria of science. A theory that denies realness is necessarily and demonstrably wrong. The empty set, that ist postulated to justify the transfinite, fails in reality. The insistence on the infinite subdivision in contradiction to Planck, the fiction of insignificance of the syntax of mathematical logic, the failure to resolve the antinomies and the refusal to perceive the disproof of Gödel's incompleteness theorems demonstrate a disruption of thinking. The foundational crisis of mathematics, that evolved before the 20th century for decades, was not overcome by the measures taken to overcome it, but exacerbated.