  This work starts from definition of randomness, the results of algorithmic
randomness are analyzed from the perspective of application. Then, the source
and nature of randomness is explored, and the relationship between infinity and
randomness is found. The properties of randomness are summarized from the
perspective of interaction between systems, that is, the set composed of
sequences generated by randomness has the property of asymptotic completeness.
Finally, the importance of randomness in AI research is emphasized.
