A man does not show his greatness by being at one extremity, but rather by touching both at once. Pascal
The genius of both Newton and Einstein was not essentially about physics. Or math. Or the nature of light. All of the understanding gained in these fields are a consequence of their genius, not its cause.
They both observed a universal truth about observation itself. In Newton’s case, he observed that not only does the Earth pull the apple to itself but the apple also pulls the Earth to itself. Or to put it another way, gravity is an essential property of matter, to have one is to have the other. Einstein made a similar observation when he explained why there is no such thing as a special observer, or place to stand, in the universe by pointing out that regardless of where you stand, that is the center. (No matter where you go, there you are.) This fact is why light has a speed limit.
To have time is to have space, to have matter is to have energy.
They each made an observation about the inseparable nature of the universe.
It is a universal observation about observation itself that addresses the problem and at the same time solves the Achilles heel of Aristotelian logic, that is to say, the law of the excluded middle.
Instead of denying the existence of paradox, or eliminating infinity, I contend existence is the manifestation of paradox.
Paradox is fundamentally an observational problem, not a logical one. Once one observes the function of paradox, then its form becomes apparent, and what has form has pattern, because form is pattern and pattern is form.
Put another way, Russell’s paradox is re-solved by stating: the set of all sets is distinct by definition yet inseparable by nature. The result is a paradox. It is for this reason Russell abandoned his work on the unification of logic and mathematics.
I submit he succeeded, saw the obvious solution and immediately discounted it because of its obvious nature. Ironically, he was right for the wrong reason and wrong for the right reason. A pattern develops.
Fittingly, the problem begins with Aristotle and ends there. Only to begin again. Also interestingly, for someone who championed the golden mean, he left it out of his logic.
Logic requires it.
Picture a three legged stool. It is nothing fancy. A flat wooden circle attached to three legs which form a tripod. Now flip it over so the seat rests on the ground and the legs are now pointing skyward. Grab the middle leg and swing it over your head three times. Now place it back as you found it, seat side down. Ok, you didn’t need to swing it over your head, I happen to like practical jokes (this is important, we’ll get back to it), the important thing happened when you grabbed the middle leg.
Why? Because you had no choice but to pick the middle leg. In order to keep the tripod a tripod, all the legs are middle legs, the act of choosing makes it the middle. The middle is necessary, to choose it is to define it.
The law of the excluded middle is both true and not true. Both true and not true. It has to be because accepting this law forces us to contend with paradoxes. Which Aristotelian logic contends cannot exist.
Yet it does.
Paradox is the only function which accomplishes this.
Let me tell it like a story…
Long ago in our what is to come, that which is distinct by definition yet inseparable by nature observed itself, how it was distinct yet inseparable because there was nothing to compare itself with except itself. The only thing which could observe this is itself. One truly is the loneliest number. So one divided. In an act of self destruction that is in fact self sacrifice (the difference being love, say the mystics and I). In the only way possible, the way essential to itself. Paradox is the essential nature which runs the universe and infinity is the time in which it will take to do so.
Not so long after all.
Every electron in the universe shuffled in every combination. The ultimate chaos bound to the ultimate law. Or you can say it the other way ’round.
Or you can just say “Let there be light.”
God is a vacuous position because every role is the role of god. This is what Spinoza said. What William Blake said. What Meister Eckhart said. What the Buddhists say. What the Hindu say. What the Taoist says. What the Native American says, and the atheist. They are all right. And they are all wrong. Or to put it this way, they are all as right as they are wrong. The village barber is the village.
The role is vacant because she only fills it one person at a time. Constantly. Everywhere. She is the actress that is also the audience, the stage, the lights in the rafters, the slime mold in the producer’s refrigerator (two roles defined by the same organism) as well as the vacuum rapidly expanding.
The ultimate purloined letter.
As soon as the bearded man sits in the chair, the clean shaven barber shaves him. The now shaved man takes the razor from the barber and watches him leave. He is now the village barber and he waits for the bearded man. To be shaved is to become the barber. It is the act of shaving that creates the village barber, not the person who holds the razor, it requires role and action to be unified and in that unification is definition.
God’s nose knows no other.
One divides by zero by being equal to everything.
Nothing multiplied/divided by one is equal to paradox/infinity.
Euclid’s fourth common notion states that which coincides is equal.
Time coincides with space. Matter coincides with energy. Paradox coincides with infinity. Time is infinite. The Earth pulls the apple and the apple pulls the Earth. There is no special place to stand because it is all special.
A period, a straight line, a pendulum, a wave, and a circle all share an essential nature – their ending is their beginning and their beginning is their ending. They all have different speeds, forms, means of representation, but this is the thing which connects them.
How does this relate to the aforementioned practical joke?
The universe is the role of god playing the most practical of jokes on herself. You will eventually be doused by the bucket you set up. You are the spark of your own flame.
Is.
Not.
Is.
Not.
Is.
Not…tick. Tock. Tick. Tock….
There is no such thing as an uninvolved observer.
2. The box you cannot climb out of. Hero’s Dictionary