You put in two numbers, and you get out one number. Showing such a crazy result without qualification only reinforces that view, and in my opinion does a disservice to mathematics."Īddition is a binary operation. Skyskull says, "a depressingly large portion of the population automatically assumes that mathematics is some nonintuitive, bizarre wizardry that only the super-intelligent can possibly fathom. In a post about this video, physicist Dr. Furthermore, the way it is presented contributes to a misconception I often come across as a math educator that mathematicians are arbitrarily changing the rules for no apparent reason, and students have no hope of knowing what is and isn't allowed in a given situation. There is a meaningful way to associate the number -1/12 to the series 1+2+3+4…, but in my opinion, it is misleading to call it the sum of the series. I'm usually a fan of the Numberphile crew, who do a great job making mathematics exciting and accessible, but this video disappointed me. To go the other way, you reverse the addition and subtraction (k+3) mod 12 - 3 will take k to between -3 and 8.A Numberphile video posted earlier this month claims that the sum of all the positive integers is -1/12. For instance, k mod 12 would take k to between 0 and 11, but (k-3) mod 12 + 3 will take k to between 3 and 14. More generally, if you want to shift j numbers from the beginning to the end, you can do (k-j) mod n + j. \color), but by doing the subtraction before doing the modulus, and the addition after, you end up with a different representative. ![]() ![]() Let's assume we want to find a formula for the sequence
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