1 + 2 + 3 + ... = 1/12

08192019, 05:22 PM
Post: #16




RE: 1 + 2 + 3 + ... = 1/12
(10012018 08:26 PM)Albert Chan Wrote: Is this a joke ? From a purely nonmathematical POV: 1 > 1/12 and if you're adding positive integers to 1 you are going to get numbers that are even greater than 1. If your sum is S then S > 1 > 1/12 So the sum, S, can never be equal to 1/12. In fact it can never be equal to a fraction since the set of natural numbers is closed under addition and multiplication. That is to say that any two natural numbers added (or multiplied) together produce a natural number. Now let's try three numbers, A, B and C. Let A+B=M. M must be a natural number. M+C must also be a natural number. So A + B + C is a natural number. By induction (whatever the hell that is), it can be shown that the sum of ANY number of natural numbers is a natural number. The very first sum he forms is incorrect. At least that's how I (as a nonmathematician) see it. Tom L Cui bono? 

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