Phi practice Counting in Phi: the ternary numerals and the four natures

Reading 11 of 11

Appendix

quick reference

ReferenceThe number words

PhiValueClass
mu0base numeral
ta1base numeral
wi2base numeral
shao3scale unit (three-group)
phoi9scale unit (nine-group)
lau27scale unit (twenty-seven-group)
rei81scale unit (eighty-one-group)

Composition: largest unit first, digits ta or wi before each scale, units last, zero places omitted, never a remainder of three, and never a repeated scale. wi phoi ta shao ta = 18 + 3 + 1 = 22. The exact range is 0-242; the maximum is wi rei wi lau wi phoi wi shao wi. Exact values from 243 upward remain source material outside the Phi passage. A numeral or quantifier already marks quantity and never combines with plural lo.

ReferenceThe four natures

ClassifierGlossCoversRule of thumb
himoHUM.CLFpeopleexplicitly categorizes counted people
liphaLIFE.CLFliving beings, living parts, life in waitingthe egg, the ear, the seed
themoTHING.CLFthe detached and the craftedthe plank, the bowl, the carved ear
nopheABST.CLFconcepts, time, eventsthe year, the storm-as-event, the walk

Always optional; nature-now decides when a classifier is chosen, and declining to classify is the honest form of not knowing. Foregrounding a category is not a guarantee of regard.

ReferenceExact, about, and beyond

FormMeans
ta shao wi poweafive eggs, counted
shao poweasome three eggs
phoi mionanine or so people
lau shiromany trees
rei silerostars on roughly an eighty-one-group scale; a great many stars
henoi sulopaenough soup for the context under discussion

Quantifier row: theula (UNIV), sheloi (MANY), shelami (MOST), soli (SOME), phina (FEW), theli (EACH), wheli (ANY), mawha (NONE), henoi (ENOUGH). The question: wia (HOW MANY), wia himo miona (how many people?).

ReferencePosition

nu (ORD) + cardinal + noun: nu ta shao philo, the third day. Position as topic: [cardinal] noa, lopia mua wi noa nai. An ordinal states position; who set the order, and what follows from it, are separate facts.

ReferenceThe five verbs of arithmetic

VerbOperationPattern
sholeigather (+)wi nela ta shao sholei. ta shao wi kelai.
leirorelease (−)ta phoi nela ta shao leiro. wi shao kelai.
weluraspread (×)ta shao nela wi welura. wi shao kelai.
phanoiportion (÷)ta phoi nela ta shao phanoi. ta shao kelai.
kelairesult or equalitycloses a result clause; pure equality also uses nela between quantities

nela is mandatory between operands, in comparison as in arithmetic: [quantity 1] nela [quantity 2] sharoi (exceed) or thenoi (fall short), magnitude only, never worth. Addition and subtraction require the same kind of quantity. Multiplication takes a counted quantity plus a bare factor. Division takes a total plus recipients or groups; the quotient inherits the total's kind, and any remainder is stated separately, a fact with a future. Classifiers remain optional. Phi has no negative or fractional numeral syntax.

ReferenceThe questions of honest counting

Do I know it exactly? Would the difference change what anyone does? Is it mine to give? Yeses all the way down: count, and pay the length gladly. Otherwise shao, soli, or henoi may already be the whole truth, and the sentence gets shorter as it gets truer. An exact numeral, an estimate, a quantifier, or a source record can each be the accurate choice.

ReferenceVocabulary of this pamphlet

PhiGloss
poweaegg
pirutrader
silawovillage
norubowl
tomipot
wirubasket
shalufish
woleawood
shonuiear
toruayear
noaposition

ReferenceCross-references

  • Doctrine: the manual, Part IV ch12 (foundation, building, approximation, position and kind, conscious calculation); documents/grammar/numeral_reference.md for the full inventory.
  • The classifier ruling and the nature-now rule: canon.md, Classifiers.
  • Measurement, power, and numeral design: documents/design/psychological_violence_of_measurement.md.
  • The scenes this pamphlet drills: primer ch15, ta wi shao, market day; the well of primer ch24, pronounced clear with mawha suliwa; the journal dates of manual ch23; the velveteen story's eighteen scenes.