rectifies the failure of string theory to be consistent in dimensions other than 26.
Overall, despite these pertinent usages, it is unlikely that this summation will be used in day to day life, but I feel that this concise reality of mathematics is truly under-appreciated. It was for this reason that I felt I should put it under spotlight so that the idea of the innate logic of numbers can be dispelled in favour of their actual mind-bending reality. However, I think that this brief line of numbers truly sums up the majesty in pure maths
Bibliography:
‘1 + 2 + 3 + 4 +…’ (7/04/16) Wikipedia . Available at: https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF [Accessed: 10/04/16]
‘ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12’ (9/01/14) YouTube: Numberphile. Available at: https://www.youtube.com/watch?v=w-I6XTVZXww
‘Sum of Natural Numbers (second proof and extra footage)’ (11/01/15) YouTube: Numberphile. Available at: https://www.youtube.com/watch?v=E- d9mgo8FGk&feature=youtu.be
Cargal, J.M. (1988) Discrete Mathematics for Neophytes: Number Theory, Probability, Algorithms, and Other Stuff.
Maths Puzzle 1 Each of the Four Musketeers made a statement about the four of them, as follows. a. Artagnan: “Exactly one is lying.” b. Athos: “Exactly two of us are lying.” c. Porthos: “An odd number of us is lying.” d. Aramis: “An even number of us is lying.” How many of them were lying (with the others telling the truth)?
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