How communicatively optimal are exact numeral systems? Once more on lexicon size and morphosyntactic complexity

Fuente: arXiv
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Autores principales: Cathcart, Chundra, Rubehn, Arne, Bocklage, Katja, Ciucci, Luca, van Dam, Kellen Parker, Kučerová, Alžběta, Mažara, Jekaterina, Meloni, Carlo Y., Snee, David, List, Johann-Mattis
Formato: Preprint
Publicado: 2026
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author Cathcart, Chundra
Rubehn, Arne
Bocklage, Katja
Ciucci, Luca
van Dam, Kellen Parker
Kučerová, Alžběta
Mažara, Jekaterina
Meloni, Carlo Y.
Snee, David
List, Johann-Mattis
author_facet Cathcart, Chundra
Rubehn, Arne
Bocklage, Katja
Ciucci, Luca
van Dam, Kellen Parker
Kučerová, Alžběta
Mažara, Jekaterina
Meloni, Carlo Y.
Snee, David
List, Johann-Mattis
contents Recent research argues that exact recursive numeral systems optimize communicative efficiency by balancing a tradeoff between the size of the numeral lexicon and the average morphosyntactic complexity (roughly length in morphemes) of numeral terms. We argue that previous studies have not characterized the data in a fashion that accounts for the degree of complexity languages display. Using data from 52 genetically diverse languages and an annotation scheme distinguishing between predictable and unpredictable allomorphy (formal variation), we show that many of the world's languages are decisively less efficient than one would expect. We discuss the implications of our findings for the study of numeral systems and linguistic evolution more generally.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle How communicatively optimal are exact numeral systems? Once more on lexicon size and morphosyntactic complexity
Cathcart, Chundra
Rubehn, Arne
Bocklage, Katja
Ciucci, Luca
van Dam, Kellen Parker
Kučerová, Alžběta
Mažara, Jekaterina
Meloni, Carlo Y.
Snee, David
List, Johann-Mattis
Computation and Language
Recent research argues that exact recursive numeral systems optimize communicative efficiency by balancing a tradeoff between the size of the numeral lexicon and the average morphosyntactic complexity (roughly length in morphemes) of numeral terms. We argue that previous studies have not characterized the data in a fashion that accounts for the degree of complexity languages display. Using data from 52 genetically diverse languages and an annotation scheme distinguishing between predictable and unpredictable allomorphy (formal variation), we show that many of the world's languages are decisively less efficient than one would expect. We discuss the implications of our findings for the study of numeral systems and linguistic evolution more generally.
title How communicatively optimal are exact numeral systems? Once more on lexicon size and morphosyntactic complexity
topic Computation and Language
url https://arxiv.org/abs/2602.20372