Tetration Forum

Full Version: Axiomizing different methods
You're currently viewing a stripped down version of our content. View the full version with proper formatting.
Geometry is a nice example of what can be done with different systems of axioms. Can the different tetration methods be reduced to their axioms or systems of axioms?

A preliminary list of complex tetration's "Schroeder" requirements
  • Banach fixed-point theorem
  • Analytic functions
  • \[f^0(z)=z; f^a(f^b(z))=f^{a+b}(z)\]