View source for The limits and guesses in math

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 math is not an exact science
 the necessity of faith in Axioms outside the proof system

Does a number which is not representable by the means that our universe provide ([[big bang as spontaneous demixing event|amount of demixing in the big bang]]) even exist?
Ridiculously large numbers can easily be represented by simple compression methods (e.g. the Ackermann-function) but between those numbers there are gaping holes of unrepresentability.
While we don't know  which of the ridiculously big numbers we can represent in a smaller compressed form we can be certain that there are many more which certainly can't be represent within the limits of our universe.

Disclaimer: All "certainties" in this article (and anywhere else in this universe) are only certainties to the degree of practicability from experience.

== Related ==

* the severe limitedness of pseudo random number generators - inaccessibility of vast ranges
* Chaitin's omega constant that encodes the solution of all encodable problem descriptions
* The halting problem - The program that executes all construable programs in cantor triangle style - [[A true but useless theory of everything]]
* Kurt Gödels incompleteness theorem
* perfect order perfect chaos and interesting structure in between
* what distinguishes interesting entropy states from bland entropy states?
* beauty as scale variant inhomogeneous anisotropic structures on all scales
* Helmholz free energy {{WikipediaLink|https://en.wikipedia.org/wiki/Helmholtz_free_energy}}

[[Category:Philosophical]]