[mkl]

You seem to be calling complex numbers imaginary numbers, but they're not the same thing. Imaginary numbers are a subset of the complex numbers consisting of the imaginary axis without 0, e.g. i, 2i, -3.1i. Complex numbers also include the real numbers and all combinations of real and imaginary.

[koolala]

I'm glad you seem to know what I mean. I love imaginary numbers like the Square Root of -1 or the Square Root of 0. They can only be used like:

nil²=0

i²=-1 j²=-1

And combining them into complex forms like:

(i + j)

(nil + i)

What can I call this general idea of using imagination to determine new number rules and combining them together?

If I call this GA or Clifford Algebra in a math community will it trigger rigor admins to ban me from talking because I'm not using their terms?

I wish we had artistic imaginary math communities for exploring Geometry without rigor turing everything into Semantics. Geometry literally doesn't need semantics if you agree on points, lines, planes ect. Algebra to me should just be simple maps from clifford numbers to examples of intuitive geometry / physics.

[bmacho]

People should stop calling that set "imaginary numbers". It's net bad. That set isn't really worth it to be called anything. Maybe "pure imaginary numbers". Also "imaginary numbers" is used for the complex numbers already.

[koolala]

People also like colloquially saying "The Square Root of -1". Technically wrong but personally meaningful. GA is mainstream once normal people start joking about the square root of zero. We need to imagine and teach even more imaginary numbers one day.