The Logic

Rules are more powerful than they look.

The English language has twenty-six letters. Every novel, every poem, every scientific paper ever written in English is a different arrangement of those same twenty-six shapes. The rules for combining them are simple. What you can say with them is not.

This is how complexity tends to work. Not through infinite variety at the bottom, but through a small number of simple rules, applied again and again in different combinations. The richness comes from the arrangement, not from the pieces.

Computers work the same way. Underneath everything a machine has ever done, there are just a handful of basic logical operations. Not dozens. A handful. And from those few operations, combined in the right ways, everything else follows.

The question this chapter asks is: how? How do a few simple rules, repeated at scale, produce something that looks like reasoning? How does a machine go from answering tiny questions to holding a thought long enough to act on it?

The answer is less mysterious than it sounds. Once you see it, the word "logic" stops feeling abstract. It starts feeling like something you could almost build yourself.