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Re:How has mathematics gotten so abstract? by kannanvijayan on Tuesday September 30, 2025 @11:04AM (#45426425)
Another point to keep in mind is that a lot of mathematics that's not considered abstract _now_ was definitely considered "hopelessly" abstract at the time of its conception.

The complex number system started being explored by the greeks long before any notion of the value of complex spaces existed, and could be mapped to something in reality.

Re:How has mathematics gotten so abstract? by mrguyorama on Tuesday September 30, 2025 @04:56PM (#45431135)
Hell, 0 used to be considered too abstract!
Re:How has mathematics gotten so abstract? by griffzhowl on Tuesday September 30, 2025 @09:31PM (#45433361)
I don't think we can say the Greeks were exploring complex numbers. There's something about Diophantus finding a way to combine two right-angled triangles to produce a third triangle whose hypotenuse is the product of the hypotenuses of the first two triangles. He finds an identity that's equivalent to complex multiplication, but this is because complex multiplication has a straighforward geometric interpretation in the plane that corresponds to this way of combining triangles.

There's a nice (brief) discussion in section 20.2 of Stillwell's Mathematics and its History