First entry: October 2022
Last updated: August 2024
Welcome to my website
The phenomenal success of mathematics seems to exclude the possibility that a foundational crisis of this science, including mathematical logic, could be confirmed. However, the undisputed belonging to humanities caused that possible contradictions between rationalistic ideas and empirical facts, which were transcended by the philosopher Immanuel Kant, were not overcome by the mathematicians and logicians in their foundational theory. Essential axioms are contradictory. The problem is demonstrated and solved in the book "Nothing", Crisis and reEvolution of the foundations of mathematics. In Articles I - XII on this website, the key aspects of the abstract theory are presented in an intuitively understandable way.
I Empirical Fact: 0 is not a number but represents “nothing”
II Inconsistence of the transfinite number ω and the set ℕ
III Cantor's faults in his doctrine of the transfinite
IV Contradictoriness of the empty and the transfinite set
V Comprehensive meaning of ∞ and elimination of contradictions
VI Planck units refute converging infinite sequences and limits
Only finite converging sequences can be justified
VII The disproof of undecidability of Gödel's proposition
VIII Fiction of the Insignificance of the syntax of mathematical Logic
IX Nothing, "Nothing", nothing and "nothing"
X Resolving the antinomies
XI Crisis of thought of the theorists of the foundations of mathematics
XII Crisis and reEvolution of the foundations of mathematics