Comment by IngoBlechschmid

This set of slides, originally devised for the Chaos Communication Congress, might be helpful: https://www.speicherleck.de/iblech/stuff/ac-38c3.pdf

- Precise statement of the axiom

- Overview of its consequences

- A counterexample (in an alternative universe)

- Consistency of the axiom

- Gödel's sandbox for containing the axiom