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Axiomizing different methods

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Axiomizing different methods
Daniel Offline
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09/29/2022, 10:01 AM (This post was last modified: 09/29/2022, 11:35 AM by Daniel.)
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
  • \[f^0(z)=z; f^a(f^b(z))=f^{a+b}(z)\]
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