https://www.mdu.se/

This essay presents arguments for the claim that in the best of all

possible worlds (Leibniz) there are sources of unpredictability and

creativity for us humans, even given a pancomputational stance. A

suggested answer to Chaitin's questions: "Where do new mathematical

and biological ideas come from? How do they emerge?" is that they

come from the world and emerge from basic physical (computational)

laws. For humans as a tiny subset of the universe, a part of the new ideas

comes as the result of the re-configuration and reshaping of already

existing elements and another part comes from the outside as a

consequence of openness and interactivity of the system. For the

universe at large it is randomness that is the source of unpredictability on

the fundamental level. In order to be able to completely predict the

Universe-computer we would need the Universe-computer itself to

compute its next state; as Chaitin already demonstrated there are

incompressible truths which means truths that cannot be computed by

any other computer but the universe itself.