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By Matthew Watkins
The secret of the leading Numbers makes use of an leading edge visible method of converse a few unusually complicated mathematical rules with none desire for formulation or equations. the difficulty of leading numbers acts as a gateway into a few actually unusual philosophical territory whose relevance extends well past arithmetic.
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Additional resources for The mystery of prime numbers
Some struggle. Most just get by. But it’s almost unheard of for someone to remain completely baffled by the very idea of numbers and counting – everyone gets it. And yet, if you think hard about numbers and what they really are, you’ll probably get quite confused. You no doubt know how to work with them (at least to some extent), but if you spend enough time contemplating what they really are, you may well end up concluding that you don’t know. The more you think about it, the more confusing it seems to become.
Spirals the central image in this story 10. the distribution the curiously random-looking arrangement of primes 11. staircases a useful way to picture the distribution 12. the deviation isolating the deviant behaviour of the primes 13. harmonic decomposition breaking everything down into waves 14. spiral waves which no one’s bothered to name properly 15. mysterious frequencies the inevitable cliffhanger ending notes appendices 1 appendices 2 appendices 3 appendices 4 appendices 5 appendices 6 appendices 7 appendices 8 appendices 9 …upon looking at these numbers one has the feeling of being in the presence of one of the inexplicable secrets of creation.
How and why has this happened? Who, if anyone, was responsible? And how do we feel about it? Compared to the enormous (and rapidly expanding) body of mathematically-based science and economics literature, very little is ever said about this matter. One book I would highly recommend, Descartes’ Dream: The World According to Mathematics, by Philip Davis and Reuben Hersh, does deal with this issue in some depth: “There is occurring today a mathematization of our intellectual and emotional lives. Mathematics is not only applied to the physical sciences where successes have been thrashed out over the centuries but also to economics, sociology, politics, language, law, medicine.