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John Rector

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Tag: high-dimensional geometry

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

Dark green cover with the title Big Rooms Drown Small Words, the word Drown in gold italics, beside a faint field of contract words in which only the word not is lit in gold.
Cat Links Artificial Intelligence

Big Rooms Drown Small Words

Posted on September 29, 2026 jsrector

The words that decide a sentence’s meaning are the smallest ones. To AI search, each is one voice in a room, and the longer the passage, the quieter the word that changes everything. … readBig Rooms Drown Small Words

Pale cover with the title Not Is a Nudge, the word Nudge in red italics, beside a blue arrow and a red arrow pointing only a small angle apart.
Cat Links Artificial Intelligence

Not Is a Nudge

Posted on September 29, 2026September 29, 2026 jsrector

In logic, not is a U-turn. Inside the machines that search our documents, it is a short sideways step, which is why AI keeps finding “not safe” when you asked for “safe.” … readNot Is a Nudge

Warm paper-toned cover with the title Meaning Becomes an Address, the word Address in rust italics, beside a faint cluster of arrows pointing in nearly the same direction.
Cat Links Artificial Intelligence

Meaning Becomes an Address

Posted on September 28, 2026September 29, 2026 jsrector

For all of history, finding something meant knowing what someone else called it. Now the address is computed from the thing itself, and things that mean alike land near each other. … readMeaning Becomes an Address

Dark cover with the title Every Trap Is Near the Floor, the word Floor in pink italics, and a large faint one-half raised to the power d in the corner.
Cat Links Artificial Intelligence

Every Trap Is Near the Floor

Posted on September 28, 2026September 29, 2026 jsrector

To be stuck, every direction around you has to point up. In a million dimensions that almost never happens except near the bottom, which is why AI training works at all. … readEvery Trap Is Near the Floor

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