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Category: Papers

Cover of John Rector's book Every Direction at Once: a burst of cyan and amber rays from one point on a dark grid, with a faint 90 degree mark
Cat Links AI, Artificial Intelligence, Papers

Every Direction at Once

Posted on October 25, 2026 jsrector

A free book on the geometry underneath artificial intelligence: five rules of high-dimensional space that your body never learned, why they make learning possible, and seven predictions about the future they are building. … readEvery Direction at Once

Warm paper-toned title card reading The Crown Nobody Wants, with the year 1956 set as a large ghosted numeral behind the text, and the subtitle: Britain's empire fell to compound interest, not to a rival.
Cat Links Papers

The Crown Nobody Wants

Posted on September 8, 2026September 8, 2026 jsrector

Britain’s empire did not fall to a rival. It fell to compound interest, and the dollar happened to be standing nearby. America has now crossed the same line — and this time nobody is standing nearby, which is the more dangerous fact. … readThe Crown Nobody Wants

Cover for The Predictive Entity, part 7 of the series Intelligence Is Predictive Compression by John Rector: What humans are, what machines are, and what a maximally predictive thing would be.
Cat Links Artificial Intelligence, Papers

The Predictive Entity

Posted on August 16, 2026August 19, 2026 jsrector

If intelligence is predictive compression, then superintelligence is not an entity that knows everything — it is one whose surprise stays near zero over horizons where ours does not. And the state where surprise vanishes entirely is provably out of reach. … readThe Predictive Entity

Cover for Closed Form and Distributed Form, part 6 of the series Intelligence Is Predictive Compression by John Rector: Newton gives us the compression on one line. A model smears it across a hundred billion numbers.
Cat Links Artificial Intelligence, Papers

Closed Form and Distributed Form

Posted on August 16, 2026August 19, 2026 jsrector

Newton’s law fits on a postage stamp. A frontier model fits on nothing. Both are compressions, both are mathematical, and the difference between them is the most consequential fact about the present moment in this subject. … readClosed Form and Distributed Form

Cover for The Physicist's Chalk, part 5 of the series Intelligence Is Predictive Compression by John Rector: Intelligence is not memory, and a hallucination is not its absence.
Cat Links Artificial Intelligence, Papers

The Physicist’s Chalk

Posted on August 16, 2026August 19, 2026 jsrector

A great physicist writes R² where R³ belongs and nobody concludes anything about his intelligence. A language model writes a flawless brief around a citation that does not exist. These are the same failure, and it is not a failure of intelligence. … readThe Physicist’s Chalk

Cover for The Vanishing Act, part 4 of the series Intelligence Is Predictive Compression by John Rector: Intelligence, when it works, produces nothing to notice.
Cat Links Artificial Intelligence, Papers

The Vanishing Act

Posted on August 16, 2026August 19, 2026 jsrector

You are not thinking about the floor. Attention is recruited by prediction failure, which means conscious experience is systematically biased toward the regions where an entity’s intelligence is worst — and that intelligence, at its most successful, erases the evidence of itself. … readThe Vanishing Act

Cover for Where Do We Measure Intelligence?, part 3 of the series Intelligence Is Predictive Compression by John Rector: Not inside the entity. At the surface where expectation meets Actual.
Cat Links Artificial Intelligence, Papers

Where Do We Measure Intelligence?

Posted on August 16, 2026August 19, 2026 jsrector

Every failed attempt to measure intelligence looked inside the entity. Intelligence is not a property of an apparatus but of an encounter — and the Reality Equation puts a coordinate on exactly where that encounter happens. … readWhere Do We Measure Intelligence?

Cover for A Thousand Dots and One Line, part 2 of the series Intelligence Is Predictive Compression by John Rector: The database ends where its records end. The geometry does not.
Cat Links Artificial Intelligence, Papers

A Thousand Dots and One Line

Posted on August 16, 2026August 19, 2026 jsrector

Give an entity a thousand observations and it can answer perfectly about all thousand. Ask it about point 3,000 and everything changes. That question is the exact boundary where compression stops being storage and starts being intelligence. … readA Thousand Dots and One Line

Cover for The Unreasonable Effectiveness of Compression, part 1 of the series Intelligence Is Predictive Compression by John Rector: Wigner asked why mathematics works. The answer is that it is a compression.
Cat Links Artificial Intelligence, Papers

The Unreasonable Effectiveness of Compression

Posted on August 16, 2026August 19, 2026 jsrector

Wigner asked why mathematics is so extraordinarily effective at describing the physical universe. The answer is that mathematics is one of humanity’s most successful compressions — and that compression, once it predicts what it has never seen, is what intelligence is. … readThe Unreasonable Effectiveness of Compression

Dark slate cover with the title How Far Can the Compression See and a large translucent numeral three, referring to the three labor force categories the U.S. household survey compresses the country into.
Cat Links Artificial Intelligence, Papers

How Far Can the Compression See?

Posted on August 16, 2026August 19, 2026 jsrector

Intelligence is compression that predicts. The monthly household survey reduces 300 million Americans to three labor force categories, and the question is not whether that is accurate but how far it can still see. … readHow Far Can the Compression See?

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