Sets, rules and natural classes: [ ] vs. { }

Authors

DOI:

https://doi.org/10.3989/loquens.2019.065

Keywords:

phonology, features, set theory, logic, unification, phonological rules

Abstract


We discuss a set-theoretic treatment of segments as sets of valued features and of natural classes as intensionally defined sets of sets of valued features. In this system, the empty set { } corresponds to a completely underspecified segment, and the natural class [ ] corresponds to the set of all segments, making a feature ± Segment unnecessary. We use unification, a partial operation on sets, to implement feature-filling processes, and we combine unification with set subtraction to implement feature-changing processes. We show how unification creates the illusion of targeting only underspecified segments, and we explore the possibility that only unification rules whose structural changes involve a single feature are UG-compatible. We show that no such Singleton Set Restriction can work with rules based on set subtraction. The system is illustrated using toy vowel harmony systems and a treatment of compensatory lengthening as total assimilation.

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References

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Published

2020-12-01

How to Cite

Bale, A. ., Reiss, C. ., & Ta-Chun Shen, D. . (2020). Sets, rules and natural classes: [ ] vs. { }. Loquens, 6(2), e065. https://doi.org/10.3989/loquens.2019.065

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