Except AI

The paragraph is still on your phone. Not a comma has moved.

Every radius is one

Draw a circle and call every point on its edge an idea. There are infinitely many, because between any two points you can always find another. Draw a line from the center to any one of them. That line is a radius, and on this circle every radius has a length of exactly one.

Here is the first claim, and it is the strange one. You are in relationship with every idea on that edge, all of the time. Not the ones you like. All of them.

Now add the radii together. Arrows add tip to tail: start the next one where the last one ended, and ask where you finish. Newton set the rule down as the first corollary to his laws of motion in 1687, for forces. An arrow does not care what it carries. When every radius on the circle is present, each one is answered by its opposite, the path closes on itself, and you end where you began. The sum is zero.

Zero here does not mean empty. Every arrow is still on the board. Zero means balance: total relationship, no leaning. It is the floor everyone shares. As I put it at the end of The Missing Arrow: “Zero is what you share with everyone. Your except is what makes you someone.”

A bias is a missing radius

Take one radius away and add the rest again. The path no longer closes. There is a gap between where you started and where you stopped, and that gap is an arrow with two things: a size and a direction. Mathematicians call them the magnitude and the argument. Together they are a number. That number is your bias.

Notice what happened. Nothing was added. None of the remaining arrows got longer. One of them is gone, and the rest, which used to cancel, now leave you somewhere. The result always points directly away from the hole, one hundred eighty degrees from whatever is missing.

In the Reality Equation, Reality is Actual over Expectation, and Expectation is a complex number: E = P + iI. P is prediction, what habit and history expect. I is the Ideal, the pull of ideas. The circle is a picture of I. When every radius is present, I is zero. Bias, said mathematically, is nothing more than this: the imaginary part of your Expectation is not zero. And for a human being it never is. People do not have ideas. Ideas have people.

So listen for the word that gives a missing radius away. “I love music, except country.” “I’ll read anything, except AI.” Except is where the arrow used to be. From the same lecture: “Adamantly opposed is a missing arrow.”

A bias is not something you carry. It is something missing, and the whole of you points away from the hole.

Why it never feels like bias

If bias is a number, why does nobody ever feel biased? Because of how surprise splits. Take the log of a ratio whose bottom has an angle, and you get two parts: S = ln(A/|E|) − iθ. The first part is the jolt, the size of the comparison. The second is the angle you were facing. I wrote in Surprise Has an Imaginary Part that only the first is felt: “The angle does not change how much you were paid. It changes which way the payment turns you. And you cannot feel a turn.”

That is what happened at dinner. The size of your friend’s Expectation swelled by the missing radius, so the same paragraph came in smaller than it should have. That shortfall she felt, plainly. The direction, the arrow pointing away from made by a machine, she could not feel at all. So the shortfall went where shortfalls go. It went onto the work. Slop is the name a jolt takes when its direction is invisible.

To be fair to her, plenty of machine output is careless, and saying so is a reading of the work. “This is careless” is about a paragraph. “All AI content is slop” is about a circle. The tell is the word all. A verdict that does not need to see the work is not about the work.

What AI changes

For most of history, this particular gap cost nothing. A missing radius only matters when the world arrives from that direction, and almost nothing arrived from made by a machine. You could be adamantly opposed to it the way you can be adamantly opposed to living on the Moon.

That has reversed. The email in your inbox, the menu translated at the next table, the voice that answers the restaurant phone, the illustration on the flyer, the summary of your lab results: more of what arrives now comes from exactly the direction the gap faces. The hole is the same size it always was. Its price is not.

Here is the part most people miss. Nobody can argue the gap closed, not even the person who has it. The Reality Equation has one hard rule: no one can reach into the bottom of the ratio, theirs or anyone else’s. The only road runs the long way around. You act, actions leave artifacts, artifacts become history, and history is the Actual that slowly retrains what anyone expects. The lecture says it in four words: “History reaches in. You don’t.”

And there is a second consequence. As it gets harder to tell what a machine made, the gap has nothing to aim at, so it goes looking for proxies: a dash, a tidy list, a word that sounds too polished. Then it fires at people. A missing radius does not need AI to be present. It only needs a label, real or suspected.

Five predictions

1. “Slop” will lose its suffix.

   The word will come loose from AI and settle on what it really names: careless work, by anyone. When it does, it will be a sign that history has filled the gap, not that anyone was persuaded.

2. The detector will convict people first.

   A gap with no reliable target fires at proxies. More writers will sand down their own punctuation and rhythm to avoid being accused, and the accusations against humans will be the clearest evidence that the verdict never came from the page.

3. Disclosure labels will measure the audience.

   Put a label on work and the label tells you very little about the work. Show the same work with and without it, and the difference is the reader’s missing radius, measured. It is the blind audition run backwards.

4. Nobody will be argued out of it.

   People will be outlived by their own history: years of things that worked, many of them made by machines they never noticed. The stated view will lag the lived one by a long way. The sentence moves last.

5. The expensive version will be institutional.

   An institution has a Reality of its own, and a “no AI” rule written into its charter is a missing radius at the scale of an organization. These rules will not be repealed. They will rot from the inside, still on the wall while the people under them use AI anyway.

My own gap

I am not writing this from the center of the circle. Nobody stands there. I run Charleston AI. In January I opened a space on purpose to help people here understand and use AI. When someone tells me a machine cannot do something, I feel the pull before I have heard the rest of the sentence. My missing radius sits on the other side of the board from my friend’s, and my arrow points just as hard. The word except lives in my mouth too. It is what I wrote about in The Geometry of Bias: the ideas shaping our reality are hardest to see when the reality they produce feels most obvious.

One more thing, since it is the experiment this essay is about. This piece was drafted with an AI, from my framework, at my direction. If that sentence just changed how the last fifteen hundred words felt, you have watched your own circle. Nothing on the page moved.

The claim ledger

Already true

People react differently to identical work once they are told a machine made it. Writers are already being accused of using AI because of punctuation and tidy structure. Most of us already rely on machine-made things, a translation, a voice on the phone, without noticing.

What has to happen

AI work has to keep arriving and keep being good enough to use. Where a thing came from has to become hard to see. And history has to pile up faster than the slogan gets repeated.

Where I am probably wrong

If readers who are not told can reliably pick out the machine’s work and rate it lower, then “slop” is a reading of the Actual, not a missing radius, and the word keeps its suffix. Or the gap may be held by an idea rather than by experience. Then history retrains prediction while the Ideal stays put, and the sentence never moves at all.

Notes on the board

Load-bearing

Everyone is in relationship with every idea, so the full circle sums to zero. Bias is built only from what is missing. It has a magnitude and an argument, and it points away from the gap. You feel the size of the shortfall, never its direction.

Convention

Thirty-six radii stand in for infinity. Every idea gets length one. I put made by a hand and made by a machine at the top and bottom of the circle; the board does not fix where they sit.

Where it breaks

A gap on the horizontal axis leaves a result on the real line, which the equation reads as prediction, not ideal. I left that open in The Missing Arrow and it is still open. And I have said a larger I makes |E| larger and the work feel smaller; The Weight Reality Adds pulls the other way, and I have not settled which is right.

Strongest objection

“Maybe the critic is simply right.” Then the verdict would follow the work and survive a blind test. A verdict that flips when the label flips was never about the work.

Back at the table, the paragraph is still on your phone, exactly as it was when she called it beautiful. Nothing about it changed between the first sentence she said and the second. What changed was where it landed on her circle.

The words never moved. The radius was never there.

Background

• Isaac Newton, Principia (1687), Corollary I to the laws of motion: forces combine by the parallelogram rule, the same thing as adding arrows tip to tail.
• John Rector, The Reality Equation.
• John Rector, The Missing Arrow.
• John Rector, Surprise Has an Imaginary Part.
• John Rector, Our Relationship with Ideas: The Geometry of Bias.
• John Rector, Bias Has Direction.
• John Rector, AI Has a Bias Vector.
• John Rector, How to Identify a Biased System.
• John Rector, Bias, Prejudice, and Obnoxious.
• John Rector, What the Judge Was Not Shown.