The Seventh Axiom

This article records observations and conjectures about the existing axiom system from a first-person perspective. Research object: basic mathematical axiom system. Research question: Are there dimensionality limitations of this system. In the long-term derivation and verification, I noticed a phenomenon that is generally ignored: All the first six widely recognized axioms are self-consistent in the same plane. They can explain most problems, but they cannot describe structures outside the plane. This is not a calculation error or a derivation flaw. But borders. I tried to extend the existing theorem out of the plane, but the results did not hold. The existing system does not support the third dimension. Among my peers, some are good at quickly constructing ideas, some are good at rigorous proofs, and some are good at returning to basic concepts. They all reach extremely high levels within the plane, but few realize the limitations of the plane itself.