How can the illicit operation 0/0 be remedied?

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The discussion centers on the mathematical operation 0/0, which is widely regarded as indeterminate and meaningless within algebra. Participants argue that it cannot be remedied or defined meaningfully, as doing so would violate the properties of fields and lead to contradictions. Some suggest using L'Hôpital's rule for functions approaching 0/0, but this does not resolve the algebraic issue. Various perspectives on defining 1/0 and the implications for real numbers are explored, highlighting that any attempt to assign meaning to 0/0 undermines the foundational rules of arithmetic. Ultimately, the consensus is that 0/0 remains an unresolved and vacuous question in mathematics.
  • #31
we now have 0/0=x. let`s now mention that x is ANY real number... thus, 0/0=R, which is an oxymoron.
No, it means you've proven that all real numbers are equal. :-p

I'm going to close this, not because of any specific post, but just to combat necromancy of 0/0 threads.
 

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