yeah, i read the thing, it's still retarded. it's like saying there's a finite number of positive integers that can be written with 10 digits. yeah, no kidding. what is the ratio of any finite number to infinity? the identity! some of these abstractions in mathematics around infinity are comical in my opinion. but then, imaginary numbers are quite hilarious, too. i had some model in my mind at one time as i pondered on the matter of the square root of -1 and i forget what i came up with. ah yes, it's the inversion of the rule about signs. negative numbers themselves are imaginary. they literally are like not-numbers. the numbers that are not there. i think that led me to some idea that why they are useful is because they have a reverse temporal property, similar to how multiplication and division are temporal opposites, and why division is the most expensive basic arithmetic operation, can't be optimized very much, always has to be iteratively computed based on the number of places in your representation, so it's ... well, a constant time operation.