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Recursive Numeral Systems Optimize the Trade-off Between Lexicon Size and Average Morphosyntactic Complexity.

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This summary is machine-generated.

Languages balance simplicity and precision by trading off lexicon size against morphosyntactic complexity, especially in domains like natural numbers. This study reveals three key pressures shaping language lexicons for optimal communicative efficiency.

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Area of Science:

  • Linguistic typology
  • Computational linguistics
  • Language evolution

Background:

  • Human languages exhibit variation in lexicalization, constrained by competing pressures for simplicity (lexicon size) and informativeness (precision).
  • In some semantic domains, high informativeness is achieved with few lexicalized meanings due to productive morphosyntax and compositional semantics.
  • The semantic domain of natural numbers exemplifies this, where languages use complex numerals to convey precise meanings despite small lexicons.

Purpose of the Study:

  • To investigate the factors explaining lexicalization patterns in semantic domains with high informativeness and low lexicalization, such as natural numbers.
  • To propose and test a trade-off model involving lexicon size and morphosyntactic complexity in numeral systems.
  • To identify the key pressures shaping language lexicons for communicative efficiency.

Main Methods:

  • Analysis of numeral systems across 128 natural languages.
  • Computational modeling to assess trade-offs between lexicon size and average morphosyntactic complexity.
  • Comparison with existing theories on communicative efficiency and language structure.

Main Results:

  • Numeral systems demonstrate a near-optimal trade-off between minimizing lexicon size and minimizing average morphosyntactic complexity.
  • Lexicon size is not in direct competition with informativeness in domains with productive morphosyntax.
  • Languages balance the pressure to minimize lexicon size with the pressure to minimize utterance morphosyntactic complexity.

Conclusions:

  • Language lexicons are shaped by a trade-off between three pressures: simplicity, informativeness, and minimizing average morphosyntactic complexity.
  • The findings challenge the traditional two-pressure model of language variation in specific semantic domains.
  • This study provides computational evidence for a multi-faceted optimization process in language structure.