The idea of randomness is abstract but has important applications in statistics, probability, numerical analysis, physics, and all the natural sciences. Quantum-mechanical descriptions involve probability distributions necessitating the idea of randomness; radioactive decay may be understood to occur in a predictable macroscopic way, but with an element of randomness in terms of an individual particle's timing of decay. Is it possible to generate a "true" random number, or are existing random number generators or algorithms always "pseudo-random"? Has anyone thought of using naturalistic observation to generate "true" random numbers; i.e. assuming the moment of decay for a particle is truly random, and monitoring decay rates systematically so as to generate a set of random numbers.
Maybe the terminology could be paradoxical, for example maybe the sequence of digits in a decimal expansion of an irrational number is "truly random" but is also precisely determinable.
2006-07-12
10:44:36
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9 answers
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asked by
garth_d
1
in
Mathematics