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What's it even mean to use Imaginary Numbers or Quaternions "rigorously"? It's Geometry. The point is points, lines, applying transformations. If anything the f
by koolala 2y ago
What's it even mean to use Imaginary Numbers or Quaternions "rigorously"? It's Geometry. The point is points, lines, applying transformations. If anything the field needs less rigor and more friendly intuition.
- hgomersall 2y agoRight, complex numbers and the delta function lacked rigour for years and physicists and engineers didn't care because it turned out it captured the logic sufficiently well that useful stuff could be gained with it. Then the mathematicians did the rigour bit and everyone was happy again.
- koolala 2y ago1 + 1 didn't need rigor for years. then people did it in the Pricipia Mathematica and no one was happy. i + j is just as silly as 1 + 1.