Deriving Coordinate Symmetries

Deriving Coordinate Symmetries

Author: John R. te Velde

Publisher: John Benjamins Publishing

Published: 2006-01-18

Total Pages: 398

ISBN-13: 9027233535

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This monograph proposes a minimalist, phase-based approach to the derivation of coordinate structures, utilizing the operations Copy and Match to account for both the symmetries and asymmetries of coordination. Data are drawn primarily from English, German and Dutch. The basic assumptions are that all coordinate structures are symmetric to some degree (in contrast to parasitic gap and many verb phrase ellipsis constructions), and these symmetries, especially with ellipsis, allow syntactic derivations to utilize Copy and Match in interface with active memory for economizing with gaps and assuring clarity of interpretation. With derivations operating at the feature level, troublesome properties of coordinate structures such as cross-categorial and non-constituent coordination, violations of the Coordinate Structure Constraint, as well as coordinate ellipsis (Gapping, RNR, Left-Edge Ellipsis) are accounted for without separate mechanisms or conditions applicable only to coordinate structures. The proposal provides support for central assumptions about the structure of West Germanic.


Deriving Coordinate Symmetries

Deriving Coordinate Symmetries

Author: John R. te Velde

Publisher: John Benjamins Publishing

Published: 2006-01-18

Total Pages: 400

ISBN-13: 9027293724

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This monograph proposes a minimalist, phase-based approach to the derivation of coordinate structures, utilizing the operations Copy and Match to account for both the symmetries and asymmetries of coordination. Data are drawn primarily from English, German and Dutch. The basic assumptions are that all coordinate structures are symmetric to some degree (in contrast to parasitic gap and many verb phrase ellipsis constructions), and these symmetries, especially with ellipsis, allow syntactic derivations to utilize Copy and Match in interface with active memory for economizing with gaps and assuring clarity of interpretation. With derivations operating at the feature level, troublesome properties of coordinate structures such as cross-categorial and non-constituent coordination, violations of the Coordinate Structure Constraint, as well as coordinate ellipsis (Gapping, RNR, Left-Edge Ellipsis) are accounted for without separate mechanisms or conditions applicable only to coordinate structures. The proposal provides support for central assumptions about the structure of West Germanic.


Towards a Derivational Syntax

Towards a Derivational Syntax

Author: Michael T. Putnam

Publisher: John Benjamins Publishing

Published: 2009

Total Pages: 281

ISBN-13: 902725527X

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This volume explores recent advancements in the Minimalist Program that adopt Stroik s (1999, 2009) Survive Principle as the principle means of accounting for displacement phenomena in earlier versions of generative theory. These contributions bring to light many advantages and challenges that beset the Survive-minimalist framework, including topics such as the lexicon-syntax relationship, coordinate symmetries, scope, ellipsis, code-switching, and probe-goal relations. Despite the diverse, broad range of topics discussed in this volume, the papers are connected by a renewed investigation of Frampton & Gutmann s (2002) vision of a crash-proof syntax. This volume provides new and interesting perspectives on theoretical issues that have challenged the Minimalist Program since its inception and will provide ample food for thought for syntacticians working in the Minimalist tradition and beyond."


General Relativity for Mathematicians

General Relativity for Mathematicians

Author: R.K. Sachs

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 302

ISBN-13: 1461299039

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This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).


Geometric Mechanics and Symmetry

Geometric Mechanics and Symmetry

Author: Darryl D. Holm

Publisher: Oxford University Press

Published: 2009-07-30

Total Pages: 537

ISBN-13: 0199212902

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A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.