The limits and guesses in math

Even math is not an absolutely exact science
There is no way around faith in at least a few axioms outside the proof system

Does a number which is not representable by the means that our universe provide (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 (leave to Wikipedia - please come back again)
• A true but useless theory of everything
• Foundations of mathematics
• Philosophical topics

External links

• Youtube: This is Math's Fatal Flaw – by Veritasium – 2021-05-22