Classroom Exercises: Completion and Attention

Instructions for students

Begin with the equation.

Do not begin with emotion.

Do not begin with whether the person cares.

Ask which quotient has or has not resolved to one.

\[ Reality = \frac{Actual}{Expected} \]

Expected is complex. It contains Predicted and Ideal.

If Actual and Expected match:

\[ Reality = 1 \]

\[ \ln(1) = 0 \]

No human attention is stolen.

Exercise 1: The published book that still steals attention

An author published his book.

The book is printed, sold, reviewed, and read.

For this simplified exercise, write:

Actual Book = 1

The author still talks about the book constantly.

He says the publisher ruined the cover.

He says Chapter Seven is not right.

He says the book that reached the public is not the book he expected.

He is disappointed. He keeps returning to it. The book steals attention.

Questions

1. Is there an Actual Book? 2. Has the book resolved to one for the author? 3. What must be true of Expected Book? 4. Is publication by itself proof of completion?

Instructor answer

There is an Actual Book in the numerator.

But Expected Book does not match it.

If Actual Book were 1 and Expected Book were 1, then Reality would equal one, ln(1) would equal zero, and no attention would be stolen.

Attention is being stolen. Therefore, the denominator is not one in this simplified lab.

The equation might be represented as:

\[ \frac{1}{0.8} \neq 1 \]

The exact number is illustrative. The mismatch is the lesson.

The book was published, but it is not complete for this author because Actual and Expected have not resolved.

Exercise 2: The completed book and the book tour

A second author published his book.

He is not revising it.

He is not defending it.

He is not thinking about Chapter Seven.

He is on a book tour, but the book itself no longer steals his attention.

Questions

1. What does the book quotient look like? 2. Does ln(1) = 0 mean the author has no attention anywhere? 3. Where might his attention move next?

Instructor answer

For the book:

\[ \frac{Actual\ Book}{Expected\ Book} = \frac{1}{1} = 1 \]

\[ \ln(1) = 0 \]

No human attention is stolen by the book.

But the author still has a full information load.

His publisher sends an Actual schedule showing a bookstore appearance on August 12, 2026. He expected to be home for his wife’s birthday.

The book quotient resolved to one.

The schedule quotient did not.

Attention moved to the unresolved quotient.

Exercise 3: John McGuire’s unpublished book

John McGuire worked on a book for six years.

He predicted versions of the book.

He was in relationship with the Ideal Book.

He never published it.

Question

What was your experience of John McGuire’s book?

Instructor answer

There was no experience of the book.

There was no Actual Book.

There may have been a Predicted Book.

There may have been an Ideal Book.

But there was no published artifact in the numerator and therefore no real book for another person to read or experience.

Students may have experienced John discussing the book. They may have experienced notes or drafts as separate artifacts. They did not experience the unpublished book as a book.

Exercise 4: Diagnose the storm

Low pressure is present over Charleston.

A meteorologist predicts an 80 percent chance of thunderstorms beginning at 3 PM.

At 3:07 PM, thunder sounds, hail hits the roof, and rain crosses the street.

Questions

1. What is Ideal Storm? 2. What is Predicted Storm? 3. What is Actual Storm? 4. Where is the experienced real storm?

Instructor answer

Ideal Storm is the low-pressure condition, the imaginary, idea-facing component of Expected Storm.

Predicted Storm is the 80 percent forecast, the real component of Expected Storm.

Actual Storm is the event that occurred at 3:07 PM in the numerator.

The experienced real storm is on the left-hand side as Reality, the quotient of Actual Storm over Expected Storm.

Exercise 5: Place AI in the book equation

A synthetic system predicts a complete book.

Separate tools and action systems format the manuscript, render the PDF, and publish the file.

Questions

1. Did AI manufacture the Ideal Book? 2. Does AI primarily occupy Actual Book? 3. Where does the prediction machine belong? 4. Which operations are actions?

Instructor answer

AI did not manufacture the Ideal Book.

Ideas have people. People do not have ideas.

AI does not primarily occupy Actual Book. Rendering, formatting, uploading, and publishing are actions performed through tools, agents, connectors, and action systems.

The heart of AI belongs in Predicted Book, the real component of Expected Book in the denominator.

AI is a prediction machine.

Closing diagnostic

For every case, ask three questions:

1. What is Actual? 2. What is Predicted? 3. What is Ideal?

Then ask:

What has not resolved to one?

Attention is the signal of the unresolved quotient.

Completion occurs when Actual and Expected resolve to the same thing.

Reality equals one.

ln(1) = 0.

No human attention is stolen.

Author: John Rector

Co-founded E2open with a $2.1 billion exit in May 2025. Opened a 3,000 sq ft AI Lab on Clements Ferry Road called "Charleston AI" in January 2026 to help local individuals and organizations understand and use artificial intelligence. Authored several books: World War AI, Speak In The Past Tense, Ideas Have People, The Coming AI Subconscious, Robot Noon, and Love, The Cosmic Dance to name a few.

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