Abstract
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.