1.2 Mathematical truth
All mathematical truth comes from its basis on thingyness, which mathematicians call a Set. Nearly every concept we have a word for is thingylike. This is the base assumption of reality. Caution be warned to those tempted to adventure before this assumption - stuff gets weird! After all - you and yourself are things. When I do it things get very Alice In Wonderland and people often get irritated/scared/angry/crazy. They're things too - so they think - and me looking past the glass of the Set questions their thingyhood existence and can trigger the fight andor flight or playdead response.
Andor is 'and'+'or'. I'm gonna need that Set! Lol!
Thingyness is kind of a lie a little bit. There are no beginnings and endings. There are no well defined boundaries. Those are story elements. Stories are the highest dimensional expression of sharing, so that's ok; but stories are not what is actually going on - not 100%.
But let's just assume there's things. Everybody's doing it! And let's see how quickly perfect logic in mathematics falls apart and needs a Logic Band-Aid.
Think of the Set in math as the process of mind that conceptualizes a thing. Here's what mathematicians write like:
Let S be a Set Let S = {1,2,3}
This means S refers to the conceptualization of the concepts one two and three grouped together.
Math and the whole spectrum of 'Real' Numbers is built this way:
Assume there is a Set, that is all. Thus, S ={}. This is kind of like the number zero. Well then I can make a set with S in it and I have {{}}. This is like the number one. Well then I'll be damned if it can't make a set with both of those in it, so {{},{{}}}. Wahbam! I just invented the number two. You might imagine this continues for a while and we get every whole number that one might count. With all of these numbers laid before us, the pattern of addition presents itself as truth.
This might seem like baby stuff, but remember the concepts of zero and one are analogous to however you conceive of you and yourself... And everything's about to go off the rails real quickly!
So, if you exist, then that person over there reminds you of yourself. Wahbam you've done 1+1=2. The other person over there is cool, and you've got 3. You three start hanging out a lot. Sometime down the road dinner happens and there's you and another, that's it. At this point you probably would naturally do 3-2=1 and/or 3-1=2. 1 person missing. You just imagined negative numbers, congrats!
Just like assuming you exist infinty mirrors all the way up into all the whole numbers you can count, this one missing person idea is going to turtles all the way down into the Shadow set of negative whole numbers. I call it a Shadow set because mathematicians unfortunately used the word Imaginary for something else, but we're getting to that.
ASIDE: These phrases of 'infinity mirrors' and 'turtles all the way' represent a process mathematicians named 'Pricnciple of Math Induction.' That isn't important for what we're doing here, but PMI is used in math proofs so I thought I'd mention it. The process of PMI is that if you can show it works for one thing, and if it works for one thing then it works for the next - well then it just keeps on working forever.
LOGIC BANDAID: We assumed you can define a thing, and you pretty quickly defined a thing. This creates you and everyone, but it also creates the numbers 0, 1, 2... all the way to infinity. The pattern of addition presents itself, and when you imagine the inverse of addition you naturally create the Shadow set of negative numbers. Now let's go get awkward!
When you compile addition upon itself you get multiplication. When you compile multiplication upon itself you get exponents. And if you imagine the inverse of exponents upon your Shadow set of negative numbers your concepts contradict thyself and the numberline falls apart!
So a Logic Band-Aid is necessary. In mathematics this is called the imaginary number i=✓-1. Just like the number one lead to the whole number line of 'Real' Numbers, i=✓-1 leads to a whole new line of 'Imaginary' numbers. Math uses this really cool word: orthogonal. The whole spectrum of Imaginary Numbers is orthogonal to the Real Number spectrum, which means they are at right angles to each other and only intersect at a single point, which happens to be zero. You could see this much better on a piece of paper. Draw a horizontal line and that's the whole shebang thing of Real Number things you infinitely created by assuming you can conceive of a thing. But you did it carefully recognizing what you did with clear mathy logic, and you ran into a problem. So now draw vertical line going right through the center of your horizontal line. That vertical line is the spectrum of Imaginary Numbers from negative infinity times i at the bottom to positive infinity times i at the top. This happens way more often than 95% of the time you conceive of anything. Nearly every concept needs a Logic Bandaid because nearly every concept is based upon grouping things that are alike.
Just think of the ramifications for your own self concept. If you existing means they exist and addition is the pattern betwixt groups of people existing, and the shadow set of negative numbers is analogous to missing people, well then what do multiplication and its inverse with the resulting fractions and percentages represent? I'll leave that to you. Dimensions/concepts have a way of redimensionalizing/reconceptualizing as we conceive them. So what's the analog for the inverse of exponents - called roots - upon negative numbers not making sense such that we need Logic Band-Aids? That is up to you as well, but I've thought about that a lot. My best guess is it's like my idea of what everybody thinks I shouldn't be as it is induced upon my aspects that are there but I ignore andor reimagine andor cannot perceive.
One more thing about mathematical Truth. Math arrives at Truth across all perspectives because it assumes very little, proceeds diligently, and strives to create well defined definitions. Many people think truth is knowledge, but knowledge is often just a pageantry of naming things. Other people might think the real truth is the gnosis of experience, but Donald Hoffman and others have proven what we experience is virtually 0% of what is going on. Truth is the pattern that presents itself betwixt the knowledge pageants and the gnosis of personal experiences. You could make up a new astrology with more zodiac signs, and eventually across time and perspectives I bet you patterns of Truth would become apparent.
Math is a very well chosen and made pageantry, but it's just a language and it can lie much more convincingly if you lose sight of the subtextual assumptions therein. You might have noticed the weak link in my Logic Bandaid above when I said addition compiled with itself is multiplication. It's not. In fact, that's pretty much the same hoodwinking all mathematicians pulled on themselves. Multiplication does not follow addition. Mathematics glossed over the second fundamental pattern that presents itself is actually division. If you go on making up things real quickly you'll thingy yourself and a group of others. Well pretty soon you're going to notice a thing that's not like all of you, like food. A number of you things want the foodthing, hence division. In fact I could diverge into argument that division is the fundamental pattern that presents, and counting/addition only becomes relevant secondary to sharing. I have delved into this, and the patterns in the periodic table and music and sound become unveiled reworking math from this angle.
Maybe that'll get written someday. As an artist of mathematics I caution against this Zeitgeist to label math as the language of God. I'm sure God's really into some of the revelations from math, but Eric Weinstein and I can testify that much of math has been written by people not mathematicians andor not artists at that. It's still just a pageant, let it not come between you and what you know in your heart.
My favorite Truth other mathematicians taught me is every irrational number can be expressed as a combination of rational numbers as close as I want, but never exactly. This is analogous to how I could write forever how my soulmate makes me feel but never tell it all. Everything that makes life worth living defies words in this way. Worthiness cannot be word packaged into a cute gift of a concept. Everything is an infinite investigation, even that spec of dust over there. Answers are just placeholders helping us conserve and redirect energy elsewhere by saying, "This answer is good enough for now, no need to investigate further... until later, perhaps."
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