The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory by Merchant, Nazarre
The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory by Merchant, Nazarre

The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory

An Optimality Theoretic (OT) grammar arises from the comparison of candidates over a set of constraints, oriented...
$358.63 AUD
$358.63 AUD
SKU: 9781781798997
Product Type: Books
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Author: Nazarre Merchant
Format: Hardcover
Language: English
Subtotal: $358.63
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The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory by Merchant, Nazarre

The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory

$358.63
The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory by Merchant, Nazarre

The Mother of All Tableaux: Order, Equivalence, and Geometry in the Large-Scale Structure of Optimality Theory

$358.63
Author: Nazarre Merchant
Format: Hardcover
Language: English
Description
An Optimality Theoretic (OT) 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 OT grammars. Here 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 turns out to rate 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 we call an EPO, an 'Equivalence-augmented Privileged Order', presentable 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 gives us 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 Riggle (2010, 2012), 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, aiming to facilitate access for readers across a wide range of interests.

Author: Nazarre Merchant, Alan Prince
Publisher: Equinox Publishing
Published: 06/01/2023
Pages: 320
Binding Type: Hardcover
Weight: 1.93lbs
Size: 9.21h x 6.14w x 1.13d
ISBN: 9781781798997

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