The Mother of All Tableaux : Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory
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| Title: | The Mother of All Tableaux : Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory |
|---|---|
| Description: | An Optimality Theoretic grammar arises from the comparison of candidates over a set of constraints, oriented toward obtaining certain of those candidates as optimal. The typology of a specified system collects its grammars, encompassing all total domination orders among the posited constraints. Considerable progress has been made in understanding the internal structure of Optimality Theoretic grammars but, in this book, we move up a level from grammar to typology, probing the structure that emerges from the most basic commitments of the theory. Comparison is once again central: a constraint viewed at the typological level rates entire grammars against each other. From this perspective, the constraint goes beyond its familiar role as an engine of comparison based on quantitative penalties and instead takes the form of a more abstract order and equivalence structure. This “Equivalence-augmented Privileged Order” (EPO) can be presented as a kind of enriched Hasse diagram. The collection of the EPOs, one for each constraint, forms the MOAT, the “Mother of All Tableaux”. The EPOs of a typology's unique MOAT are respected in every violation tableau associated with it. With the MOAT concept in place, it becomes possible to understand exactly which sets of disjoint grammars constitute valid typologies. This finding provides the conditions under which grammars of a given typology can merge to produce another, simpler typology and thereby abstract away informatively from various differences between them. Geometrically, the MOAT concept enables us to show, following the insights of Jason Riggle, that the grammars of a typology neatly partition its representation on the permutohedron into connected, spherically convex regions. Discussion proceeds along both concrete and abstract lines, facilitating access for readers across a wide range of interests. |
| Authors: | Nazarré Merchant, Alan Prince |
| Resource Type: | eBook. |
| Subjects: | Optimality theory (Linguistics) |
| Categories: | LANGUAGE ARTS & DISCIPLINES / Linguistics / General, LANGUAGE ARTS & DISCIPLINES / Linguistics / Morphology, LANGUAGE ARTS & DISCIPLINES / Study & Teaching |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-epub Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The Mother of All Tableaux : Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory – Name: Abstract Label: Description Group: Ab Data: An Optimality Theoretic grammar arises from the comparison of candidates over a set of constraints, oriented toward obtaining certain of those candidates as optimal. The typology of a specified system collects its grammars, encompassing all total domination orders among the posited constraints. Considerable progress has been made in understanding the internal structure of Optimality Theoretic grammars but, in this book, we move up a level from grammar to typology, probing the structure that emerges from the most basic commitments of the theory. Comparison is once again central: a constraint viewed at the typological level rates entire grammars against each other. From this perspective, the constraint goes beyond its familiar role as an engine of comparison based on quantitative penalties and instead takes the form of a more abstract order and equivalence structure. This “Equivalence-augmented Privileged Order” (EPO) can be presented as a kind of enriched Hasse diagram. The collection of the EPOs, one for each constraint, forms the MOAT, the “Mother of All Tableaux”. The EPOs of a typology's unique MOAT are respected in every violation tableau associated with it. With the MOAT concept in place, it becomes possible to understand exactly which sets of disjoint grammars constitute valid typologies. This finding provides the conditions under which grammars of a given typology can merge to produce another, simpler typology and thereby abstract away informatively from various differences between them. Geometrically, the MOAT concept enables us to show, following the insights of Jason Riggle, that the grammars of a typology neatly partition its representation on the permutohedron into connected, spherically convex regions. Discussion proceeds along both concrete and abstract lines, facilitating access for readers across a wide range of interests. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nazarré+Merchant%22">Nazarré Merchant</searchLink><br /><searchLink fieldCode="AR" term="%22Alan+Prince%22">Alan Prince</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Optimality+theory+%28Linguistics%29%22">Optimality theory (Linguistics)</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22LANGUAGE+ARTS+%26+DISCIPLINES+%2F+Linguistics+%2F+General%22">LANGUAGE ARTS & DISCIPLINES / Linguistics / General</searchLink><br /><searchLink fieldCode="ZK" term="%22LANGUAGE+ARTS+%26+DISCIPLINES+%2F+Linguistics+%2F+Morphology%22">LANGUAGE ARTS & DISCIPLINES / Linguistics / Morphology</searchLink><br /><searchLink fieldCode="ZK" term="%22LANGUAGE+ARTS+%26+DISCIPLINES+%2F+Study+%26+Teaching%22">LANGUAGE ARTS & DISCIPLINES / Study & Teaching</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 410.1822 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Optimality theory (Linguistics) Type: general Titles: – TitleFull: The Mother of All Tableaux : Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nazarré Merchant – PersonEntity: Name: NameFull: Alan Prince – PersonEntity: Name: NameFull: Nazarré Merchant – PersonEntity: Name: NameFull: Alan Prince IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2023 – D: 01 M: 03 Type: profile Y: 2025 Identifiers: – Type: isbn-print Value: 9781781798997 – Type: isbn-electronic Value: 9781781799000 – Type: isbn-electronic Value: 9781800503595 Titles: – TitleFull: The Mother of All Tableaux : Order, Equivalence, and Geometry in the Large-scale Structure of Optimality Theory Type: main |
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