Ponrawee Prasertsom
LOT Training Camp 2025
Ponrawee Prasertsom [pʰonráwiː pràsɤ̀ːtsǒm]
Isolating = Low ratio ~ 1:1 (Thai)
ฉัน
1SG
อยาก
want
จะ
IRR
ไป
go
เที่ยว
travel
ฉัน อยาก จะ ไป เที่ยว
1SG want IRR go travel
‘I want to travel.’
Synthetic = Mid-range ratio (Japanese)
Tarou-tachi=wa
Taro-ASSOC=TOP
gohan=o
rice=ACC
tabe-mashita
eat-POLITE:PFV
Tarou-tachi=wa gohan=o tabe-mashita
Taro-ASSOC=TOP rice=ACC eat-POLITE:PFV
‘Taro and his group ate rice.'
Polysynthetic = High ratio (Central Yup’ik) ← IOL loves this type.
tuntu-ssur-qatar-ni-ksaite-ngqiggte-uq
reindeer-hunt-FUT-say-NEG-again-3SG.IND
tuntu-ssur-qatar-ni-ksaite-ngqiggte-uq
reindeer-hunt-FUT-say-NEG-again-3SG.IND
‘He had not yet said again that he was going to hunt reindeer.’
Languages have many ways to build words out of morphemes.
Examples from Arabic:
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
All denoms ≤ 10
∴ subʕēn, xumsēn denoms = 5 and 7.
∴ {subʕēn, xumsēn} = {25, 27}
∴ Ø-u-Ø-ēn = 2root
{s-b-ʕ, x-m-s} = {5, 7}
∴ Transfixes = xroot
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
Ø-u-Ø-Ø+2t-s-ʕ=2s-d-s
We get
1roottumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
We know that:
1root2rootØ-u-Ø-Ø+Ø-u-Ø-ēnt-m-n=1+2t-m-n=t-l-tt-m-n
∴ t-l-t = 3
Observe that Ø-a-a-t always occurs with i-Ø-ā-n, and all the remaining fractions have them:
∴ 1a1a1t i22ā2n = 1-1-12-2-2
... when 1-1-1 > 2
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words and sums' numerators and denominators ≤ 10 and there is no x1.
x-m-sx-m-s+1s-b-ʕ=t-m-ns-b-ʕs-b-ʕ+1=t-m-n
We know that s-b-ʕ ∈ {5, 7}, so t-m-n ∈ {6, 8}
But we also know that 6 must be either t-s-ʕ or s-d-s. So t-m-n cannot be 6.
∴ t-m-n = 8; s-b-ʕ = 7
Because {x-m-s, s-b-ʕ} = {5, 7}
∴ x-m-s = 5
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words' and sums' numerators and denominators ≤ 10 and there is no x1.
s-b-ʕt-l-t+1s-d-s=ʕ-š-rr-b-ʕ73+1s-d-s=ʕ-š-rr-b-ʕ
Because s-d-s ∈ {4, 6}
73+1s-d-s=73+14=3112, or=73+16=52=104
Given the constraints and integer uniqueness, we get
tumn + tumnēn = talatt itmān
sabaʕt itlāt + suds = ʕašart irbāʕ
tusʕēn + tusʕ = sudsēn
xamast ixmās + subʕ = tamant isbāʕ
subʕēn + xumsēn = 2435
All words and sums are fractions. Words' and sums' numerators and denominators ≤ 10 and there is no x1.
And we're done!
1root2root1-1-12-2-2Consider the German examples below:
What are the URs (original form)? What is the rule for deriving the SRs?
[+consonantal−sonorant]→[−voice]/__#
where
[+consonantal−sonorant] = obstruent consonants[−voice] = voiceless‘‘All obstruent consonants become voiceless at the end of the word (before pause, #).’’
Isolate the prefix common to the words below. What is its UR? What are the rules to derive the SR? (No need for fancy notation.)
The UR is məŋ. The rules are:
ŋ→[αplace]/__[+consonantalαplace]
[+nasal]→∅/__[+consonantal+sonorant]
[+consonantal−voice−delayed release]→∅/[+nasal]__
... where + = morpheme boundaries.
Do these rules have to be ordered? Why?
Why not choose other forms as URs, e.g. mən, məm, mə or məɲ?
Why not choose other forms as URs, e.g. mən, məm, mə or məɲ?
Because of cases like these:
You may have another set of rules. These are fine as long as your rules account for 100% of the data, but there are probably more rules/they are more complicated.
Posit a UR that has all unpredictable information. In this case, we cannot predict what nasals will occur between vowels, so we put [ŋ] in the UR.
Instructions:
The key is just finding the right URs for the stems!
Sometimes the UR is on the left, sometimes on the right. (Hax: The UR is just the shorter one.)
The key is just finding the right URs for the stems!
Sometimes the UR is on the left, sometimes on the right. (Hax: The UR is just the shorter one.)
Choosing the wrong UR will result in unpredictability.
For URs on the left side, there are two suffixes:

For URs on the right side, there is one suffix:
We can now fill in the blanks. Some blanks are ambiguous because the data are compatible with the UR on either side.
When you write your answers, you can use formulae, made-up notations (a → b), technical terms (URs, obstruents, sonorants, etc.) and abbreviations (C for consonants, V for vowels, etc.). But you must define them in the answers.
Next module is grammatical features. Have fun!
Ponrawee Prasertsom [pʰonráwiː pràsɤ̀ːtsǒm]
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