Math operators

#math
The Three Trees

#math

Think of multiplication, $*$, as the “influence” that is exerted, a form of bonding. $1$ exerts no influence on any other number, even though it exists in every number. In other words ‘a’ is the same as $1a$ or $1 * a$ Whereas the influence of $-1$ produces the negative, brings out the shadow — the hidden side, the below the line aspect, and turns $a$ into $-a = -1 * a$.
I propose that $*$ is like force, and $+$ is like form. $+$ tends to be sequential, more cumulative, whereas $*$ is more transformative. It can reflect the measurement of the object of its attention.
When in shadow, the light does not help. In fact, it actually disturbs the shadow seeker. By adding a piece that is equal in mass – but opposite – to the darkness, brings one to the space for change: $(-1) + (+1) = 0$.

If $+$ represents the positive form, $-$ represents the negative, $*$ and $/$ are two opposite actions. The former represents expansion, enlargement. It is one of assembly, the multiplication, whereas the latter is the splintering, the separation, the reduction and the division.
Another way, to look at it is that whereas $+$ is cumulative, and speaks of positive deeds, $*$ is transformative. It seems strange to come to the conclusion that a negative times a negative – * – = +. It states that the negative influence on another negative, transforms it into a $+$, and this is not true – or is it?

If I write $-1 * -1 = 1$, are all the $1$’s the same? That is an idealisation, for $1$ is not the actual object, but only indicative of an object. The truth of the matter is that $1$ of anything is never really the same as another $1$, even if they are of that same thing, however mathematically the $1$’s are equal, even if the objects in reality, are not. The 1 then becomes the “normalising” factor, and we are then taught $1$ orange + another $1$ orange will give us $2$ oranges, though each of those individual oranges are not equal, except in approximation – they are both “oranges”. Because we are unable to — or do not wish to — see or understand the difference between them, we assume that there is none. In other words, $1$ speaks to of quantity, but remains silent as to any qualities.

That it is not willing to look at the qualitative differences between the objects it examines, but always seeking the generality that combines them all into a set, a collection that can be dealt with as such, is a constraint of mathematics, that if applied to living things, becomes a liability. For no two beings are identical. Perhaps even each photon that is produced, although having similar measurements, once they enter into our reality, each one is different, individual.

The use of mathematics abstracts out all the characteristics that individuate that particular item. Thus it is extremely useful for investigations that distance the investigator from the investigated. For instance, it is perfect for economic transactions, whose goal would be to turn everything into money, thus only focusing on the economic value of an item, to the detriment of any other purpose. It has already succeeded in transforming real, individual items into numbers, which only speak of a sequence, or a key to other information.

If we went off the line by $-2$, we adjust by $+2$ to get back to the line. But only after we reach the line will we know that we are there, and would have to stop moving at this point. But there is an ongoing thrust (or else there is no line) and this thrust will cause us to overshoot the line, requiring say a $-1$ to return to the line again. So it will go, up and down [see oscillations], as represented by the sine_wave. Thus the so-called straight line is an idealisation of nature and the represents only the vector of the apparent unfolding of events, and not its actual unfolding.

→ $+$ and $-$ represent the dynamics of the material world, $*$ and $\div$ of the spiritual!
→ We clearly associate $+$ and $-$ with the positive and negative. However, we cannot characterise $*$ nor $\div$ with positive or negative characteristics. It depends on the application and the situation.

When you see $2$ as $1 + 1$ → separation (or as the Romans more correctly expressed it as $II$) . Whereas $1 * 1 = 1$ → union, marriage, characteristic of unity only, of identity, of beingness with others.

[!warning] Math
The interesting twist to this story, is that in the world of imaginary numbers (aren’t all numbers essentially imaginary?) addition/subtraction are exactly the same as in the real numbers, whereas multiplication/division does not result in a linear expansion but a rotation.