Recognition Language Series: Loom, Clock, Vocabulary and Alphabet

These seven papers are one program. A recognition event is a closed walk on a small cube, and the series asks what such walks can be made to say. The answer climbs a ladder: repeated distinction generates the numbers; instruments that only add are deaf to the order of events; bookkeeping forces what each act writes; the closed walks of one window form a finite alphabet; that alphabet supports a real language; the meanings of that language live in a forced geometry; and that geometry's canonical vocabulary is provably incomplete, so context is a theorem rather than a habit. Each paper proves one rung and hands the next its premises. Read this page first; it tells you what each paper establishes in plain words and where the easiest door into each one is.