I'm just curious, did any of the famous mathematicians consider |x|<0?

Would the zero have to be then not the additive identity and what else would it be then? (assuming you could build a field with this)

  • 2
    $\begingroup$ What does $\vert \cdot \vert$ mean, for you? $\endgroup$
    – GFauxPas
    Jun 30, 2016 at 16:18
  • $\begingroup$ "take the absolute value of $\cdot$ (which has to be greater or equal than the additive ID)" $\endgroup$
    – SAJW
    Jun 30, 2016 at 16:23
  • 7
    $\begingroup$ Do you mean negative distance? Then search for Krein spaces and relativity theory. $\endgroup$
    – A.Γ.
    Jun 30, 2016 at 16:25
  • 3
    $\begingroup$ What does "absolute value" mean for you? $\endgroup$
    – Erick Wong
    Jun 30, 2016 at 16:25
  • 2
    $\begingroup$ In number theory, when one investigates, for example, numbers of the form $a+b\sqrt{3}$, where $a$ and $b$ are integers, it is useful to use the norm $a^2-3b^2$. $\endgroup$ Jun 30, 2016 at 16:38


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