/sci/ - Science & Math » Thread #12422708

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Sum of all integers is -1/12

Anonymous Sat 05 Dec 14:07:30 2020 No.12422708 View Reply Original Report

Quoted By: >>12423892 >>12423965

People seriously believe this.

Anonymous

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Anonymous Sat 05 Dec 2020 15:01:12 No.12422882 Report

Quoted By:

Not only is it true by definition, but also can be experimentally verified in a laboratory using the Casimir effect.

Keep in mind that any math system that can express arithmetic will have stupid shit like that. The result is either -1/12 or infinity, depending on which axioms you use. The physical universe just happens to result in -1/12.

Anonymous

Anonymous Sat 05 Dec 2020 15:02:28 No.12422887 Report

Quoted By: >>12422905

This unironically is one of the equations used in the pseudoscience known as string theory.

Anonymous

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Anonymous Sat 05 Dec 2020 15:09:55 No.12422905 Report

Quoted By:

>>12422887
It's used in a lot of theories. It's pretty hard to avoid since the sum appears a lot in nature, and if you express the sum as an infinite, you get silly things like infinite mass or energy.

Anonymous

Anonymous Sat 05 Dec 2020 16:07:59 No.12423100 Report

Quoted By:

Reality is often stranger than fiction.

Anonymous

Anonymous Sat 05 Dec 2020 20:24:22 No.12423874 Report

Quoted By: >>12423877

Let $s\in\mathcal{R}[\math] then I can pick any <script type="math/tex">N\in\mathbb{N}[\math] such that <script type="math/tex">\sum_{i=1}^{N} i > s [\math]. We conclude that since the sum function is strictly monotone increasing in <script type="math/tex">N[\math] that the sum of all the integers converges to infinity.$

Anonymous

Anonymous Sat 05 Dec 2020 20:25:29 No.12423877 Report

Quoted By: >>12423914

>>12423874
Let $s\in\mathcal{R}$ then I can pick any $N\in\mathbb{N}$ such that $\sum_{i=1}^{N} i > s$ . We conclude that since the sum function is strictly monotone increasing in $N$ that the sum of all the integers converges to infinity.

Anonymous

Anonymous Sat 05 Dec 2020 20:30:13 No.12423892 Report

Quoted By:

>>12422708
It's not. it's Hitomi's number the count limit.

Anonymous

Anonymous Sat 05 Dec 2020 20:34:35 No.12423914 Report

Quoted By:

>>12423877
>converges to infinity

Anonymous

Anonymous Sat 05 Dec 2020 20:49:05 No.12423965 Report

Quoted By:

>>12422708
"Maths is a language."

It can be used to say bullshit.

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