Part 4 · grammar — Chapter 12 · numbers
The ternary foundation
Phi counts in threes, with exactly three number-words:
| Word | Value | |
|---|---|---|
| mu | 0 | absence, the void |
| ta | 1 | one, the single |
| wi | 2 | two, the pair |
That is the entire inventory of digits. Everything larger is built from these plus the scale units, countable nouns that name groups:
| Word | Group of | |
|---|---|---|
| shao | 3 | a three-group |
| phoi | 9 | a nine-group |
| lau | 27 | a twenty-seven-group |
| rei | 81 | an eighty-one-group |
The scale units are nouns, not particles: they are things you can have one or two of, the way English has a dozen. And because they are nouns, the modifier-first principle already tells you how numbers will be built: the digit stands before the unit it counts, like every modifier before every thing.
Why base three? Because three, nine, and twenty-seven are quantities a person can actually see: a group you can picture, not an abstraction you can only calculate. Phi's number system is deliberately human-scale: it makes the countable vivid and the uncountable honest, and past a certain size it would rather say many than pretend to a precision no mind holds. The design argument is in documents/psychological_violence_of_measurement.md; the shape of the system is what it looks like practiced.