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Conceptualizing Truly Random Numbers in Complex Systems
Truly random numbers are typically regarded as mathematical abstractions, but they can be interpreted through cognitive, systemic, and complex phenomena. This paper explores three frameworks for generating or conceptualizing truly random numbers: (1) cognitive uncertainty via fractalian quines with working memory overload, (2) Byzantine fault-tolerant systems, and (3) high-frequency black-swan dynamics in complex systems. Each framework is accompanied by illustrative examples to clarify mechanisms that produce effective randomness.
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