Download PDFOpen PDF in browserHilbert Mathematics Versus Gödel Mathematics. IV. the New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel MathematicsEasyChair Preprint no. 1061052 pages•Date: July 23, 2023AbstractThe paper continues the consideration of Hilbert mathematics to mathematics itself as an additional “dimension” allowing for the most difficult and fundamental problems to be attacked in a new general and universal way shareable between all of them. That dimension consists in the parameter of the “distance between finiteness and infinity”, particularly able to interpret standard mathematics as a particular case, the basis of which are arithmetic, set theory and propositional logic: that is as a special “flat” case of Hilbert mathematics. The following four essential problems are considered for the idea to be elucidated: Fermat’s last theorem proved by Andrew Wiles; Poincaré’s conjecture proved by Grigori Perelman and the only resolved from the seven Millennium problems offered by CMI; the fourcolor theorem proved “machinelikely” by enumerating all cases and the crucial software assistance; the YangMills existence and mass gap problem also suggested by CMI and yet unresolved. CiteThis Article Keyphrases: Fermat’s Last Theorem, FourColor Theorem, Gödel mathematics, Hilbert arithmetic, Hilbert mathematics, Perelman’s proof, Poincaré’s conjecture, quantum information, qubit Hilbert space, Wiles’s proof, YangMills existence and mass gap problem
