Can everything be solved by using 'pattern-spotting' logic?
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It sounds like you've just seen that film with Nicolas Cage 'The Knowing' which is very much fictional, but there have been studies into this and a few reports where people have added up dates and worked out how many people die, I think it's coincidental but a lot of people believe it. I can't really have a take on it because I've never used Mathematics to connect dates with events.
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They do indeed exist, however, the only true way to obtain random numbers is with a symmetrical indicator array around a decaying isotope.
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Well pi has no known pattern to it. Also, radioactive decay is a random process, you never know exactly when the substance will decay.
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It is a good question. Do any of the high-flying mathematicians know of a full-proof test of randomness?
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