>>27
For me, "signify" means
"forms a more comprehensive symbol". It's an appeal to make things less abstract. Just pushing the symbols around is not enough; in order to become functional in math, I've found it necessary to find what things signify.
I've already signified
i as a "negative dimension". Giving that definition to it other than "it's an imaginary number" simply has more significance in my mind.
Hence, when I take this negative dimension and take it to the power of a negative dimension, then what "more comprehensible" (even, "more commonly experienced") thing does that signify?
Taking any real number to the power of another rational number isn't a particularly good model, since now I'm dealing with the imaginary numbers. They could have other properties.
Hey, I was just curious. Hence, I wondered what other 4channers thought about it.