Both axioms and Aeons are unprovable, but for different reasons. Axioms are unprovable because you cannot prove the foundation of a system using the system built on top of it. Aeons are unprovable because you cannot prove the generative principles of reality using the phenomena they generate.
Both are necessary for their respective domains to make sense. Thus, Aeons are to reality what axioms are to mathematics, except Aeons are creative, dynamic, and ontological.
Knowledge should be used to inform your own gnosis. Knowledge should be weighed by the scales of your own discernment. The purpose of reading, writing, and arithmetic is to aid your own recall of gnosis.