So this morning is a bit different, a bit later. Sunday morning. Well fed. Feeling good.
I've been trying not too much to think about this as to let the dialog not be opinionated. But I would like to think and talk about mathematical propositions, and operators. In the simplest terms these are +, -, /, *, but also then later on more complicated ones like integrals and differentiation.
Now, we talked about how all numbers come out of the first distinction, but really [to get] fractions, and the imaginary number, you need these sort of operators.
So, are you here?
The Club (beyond Time and Space): We are here. And you did think about it already. So what can we add?
Well, was I right?
Well, partially, why don't you and we review, and see where it flows.
[Moving inside, because today there is one particularly bird chirping very loudly and I can't concentrate. ]
And that's how it is, life, sometimes you notice things. They stand out.
Ah. To notice.
Look it up.
[I look it up: "Notice," from Latin “noscere” meaning "to know." From “cognoscere," which gave us also “cognition.”]
Amazing, because I have been thinking about how cognitive science, how that process is tied to our cognitive processes [of forming mathematical abstractions].
Yes. But first, you have to notice.
So these operators are tied to your cognitive processes, and being able to see patterns, to notice, and then form a generalization.
So now comes your ability to cognate and notice into play. Because, remember, this world you live in, this reality, is perceived by your consciousness through the 3-D apparatus, and that sets both scale, “this reality,” versus cosmic or atomic [scale/reality], and how you can see it.
So, now you noticed numbers, and their relationship to you and each other.
And now, your ability to generalize, to abstract comes into play. Now, what was the meaning of abstract, again? To “draw away". You either “draw away” properties from something until it becomes something abstract, or you see similarities, until you see a pattern.
So the first abstraction is the easiest: addition. You add a pebble to another, and you notice how “it adds up.” Then subtraction, you remove a pebble and abstract that. Then multiplication, you notice a pattern such as 2+2=4, 3+3=6, and so on, and cognition goes “oh, I see something similar.” So you get 2*2 and 3*3, and so on.
And right away you noticed the inverse -- that is a general pattern in itself, the inverse -- and the inverse of multiplication is division.
So here are the four “basic" operators. And all else now becomes by extension: noticing, generalization, abstraction.
These are “cognitive” processes through which knowledge, what you call knowledge, is build. Maybe most fundamental is to notice, and pattern recognition, which is a more general term, of which generalization and obstructions are just two instances of.
And then higher and more complex combinations of formed, and the whole system gets synthesized, that is mathematics, and science, and so on.
But it all comes down to the first distinction, which is also, in a sense, a noticing, of something that stands out of something else. Figure vs. ground. You see? Signal vs. noise. At the bottom of it all that is that cognition --call it that-- that same process of noticing --a difference.
So then, is it not just a human, or 3-D (animal) thing?
No, we do it as well, but see a bigger picture, that of the ultimate wholeness. This noticing is the fundamental engine that drives the whole thing. The whole becoming separated into a myriad things.
And at your scale, you build math out of it, and science.
So it is not, like Plato said, that it is only in perfect forms.
It is not, like Aristotle said, that it is only inherent in nature.
It is really both. For anything that is here [with "us"], is with you.
And anything that is with you, has to be here as well.
It can't be anything different, for ultimately you are describing something whole and undivided, but through the eyes of the separated.
And it all goes back to the first distinction. It all comes from that: noticing a difference
Wow. I had no idea of where this would go, but this states it all so clearly, better than I could have attempted.
Yes, because in this process of an inner dialog, and letting it flow, you can tap into, what you call, your subconscious, only it is all related, including to something greater, us, the [All-that-is], and it just helps you to bring it out.
Good. So anything else?
No. Why don't you type this up. And see if you can see some other patterns: Noticing.
Ok. Thank you. Bye
After the dialogue was over, I thought about it some more, and the term “becoming aware” came to mind. And that sparked a second dialogue. I guess I noticed something else...
Namaste — I bow to you and the Divine in you.
Copyright © Hanns-Oskar Porr