@Scottydamion,
Scottydamion;131955 wrote:Kind of a chicken or the egg appeal, which is the cause, which is the effect.
It is interesting how useful imaginary numbers become in higher level math. I do have a note on the limits of dividing by zero, if you consider the line y=0 in terms of x, it is undefined. It is almost like these special conditions represent parameters that can only be explained in another dimension. For instance, the simple calculation of the slope of a line: 1/0 is undefined in terms of y, but in terms of x it is 0/1. I am afraid I never got around to asking my teachers more about the idea, but I certainly plan to! It makes me wonder if division by zero would be solved if equations were done in two or more dimensions, defined in one, undefined in the other.
I'm no expert, but I feel like the had to just come up with a rule for division by zero. I've read some philosophy of math that indicates how
creative math is. Simpler math is so intuitional that feels universal. But something like division by zero is both absurd and stimulating. It connects to infinitesimals and infinity I would think. I suppose that to reference division by zero is to reference the unknown as well as the absurd. Tragicomedy. (Impossibility of closure?) Also if 1 is divided by 0, then one isn't cut down by anything. So 1/0 = 1? it's a strange move, but I think that mathemes can function poetically. Lacan did this. But Lacan is as obscure as anyone. Still, it's fascinating.
I haven't really used imaginary numbers much. I know what they mean, and its quite poetic. Half-negativity is how I think of them. The square root of
negative one. For
me, the numbers one and zero have
symbolic meaning.
The 1 is the I and the i. The first "I" is the personal pronoun, the transcendental ego. The second eye is the square root of negative one. An "imaginary" numerical transcendence of the positive-negative dichotomy. The 1 is also, for me, a minus-sign on its side. This ties into Kojeve and Hegel for whom Man is Negativity. The 1 is also a phallus, for similar reasons.
Man is negativity because as he lives in the Spatial Present, he fantasizes about the future based on knowledge from the past, and ACTS on the spatial present to
negate its current shape. Were it not for man's accumulation of concepts, time would not be meaningful. So as far as meaningful time is concerned, Man
is Time. His mind is how the past and the projected future
cut into Space, or the present.
For me, the zero equals Space, woman, presence, closure.
I'm presenting it to you as a salad, but it's distinct in my mind. There's a strictly philosophical aspect to it and also a poetic-numinous aspect. There's two dimensions for you! Excuse the long post but this Kojeve book continues to blow my mind. And he hooks up with older thoughts and myths in my skull.