TL;DR
This paper explores the fundamental nature of randomness, its relationship with infinity, and its significance in AI, analyzing algorithmic randomness and system interactions.
Contribution
It provides a new perspective on the source and properties of randomness, emphasizing the role of asymptotic completeness and its importance in AI research.
Findings
Randomness is linked to the concept of infinity.
Sequences generated by randomness exhibit asymptotic completeness.
Randomness plays a crucial role in advancing AI research.
Abstract
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.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Evolutionary Algorithms and Applications