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I had an idea, if we created the imaginary number line so we have a solution for x^2=-1, what would happen if we create a number line for 1/0=j. Would it be beneficial in any way?

Ciprian Manea
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  • Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Apr 28 '22 at 15:11
  • You're reinventing the orders of infinity – Exodd Apr 28 '22 at 15:19
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    You'll lose many basic algebraic properties, for example, the distributive law gives $1 = j0 = j(0+0) = j0+j*0 =2$ ... – Ned Apr 28 '22 at 15:29
  • My thinking was that progress has been made by breaking some of the rules, as it was rhe case of I, I wonder what is the point where we have to break other rules. I it's used in physics maybe we need a new set of numbers for quantum physics – Ciprian Manea Apr 29 '22 at 06:29
  • The imaginary number $i$ doesn’t break any algebraic rules. But there are number systems which approximate, in some sense, division by 0 (nonstandard reals, for example) but they aren’t as simple as “declare a new symbol to solve a particular equation and see what happens”, the way $i$ is. – Ned Apr 30 '22 at 20:05

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