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A comment on Poor Foundations in Geometric Algebra. Parent comment

Re:Poor Foundations in Geometric Algebra by koolala on Tuesday August 27, 2024 @02:39AM (#41365062)
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.
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Re:Poor Foundations in Geometric Algebra by hgomersall on Tuesday August 27, 2024 @01:58PM (#41370653)
Right, 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.
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Re:Poor Foundations in Geometric Algebra by koolala on Tuesday August 27, 2024 @02:53PM (#41371347)
1 + 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.

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