While much has been written on asymmetric aspects of sentence structure, symmetric aspects have been largely ignored, or claimed to be non-existent. Does symmetry in syntax exist, and if it does, how do we account for it? In this book, Barbara Citko sets out to tackle these questions and offers a unified approach to a number of phenomena that have so far been studied only in isolation. Focusing on three core minimalist mechanisms: merge, move and labeling, she advances a new theory of these mechanisms, by showing that under certain well-defined circumstances merge can create symmetric structures, move can target either of two potentially moveable objects, and labels can be constructed symmetrically from the features of two objects. This book is aimed at researchers and graduate students interested in minimalist syntax, the structure of questions, relative clauses, coordination, double object constructions and copular sentences.

What is the trigger for displacement phenomena in natural language syntax? And how can constraints on syntactic movement be derived from interface conditions and so-called Third Factor principles? Within the Minimalist Program a standard answer to the first question is that it is driven by morphosyntactic features. This monograph challenges that view and suggests that the role of features in driving syntactic computation has been overestimated. Instead it proposes that "labeling" -- the detection of a prominent element in sets formed by Merge -- plays a role in driving transformations, and labeling itself is understood to derive from an interplay of efficient computation and the need for a label at the Conceptual-Intentional systems. It explores this idea in four empirical domains: Long-distance dependencies, Criterial Freezing-phenomena, nested dependencies and ATB-movement. The languages considered include English, German and Hebrew.

It is standardly assumed that Universal Grammar (UG) allows a given hierarchical representation to be associated with more than one linear order. This book proposes a restrictive theory of word order and phrase structure that denies this assumption. According to this theory, phrase structure always completely determines linear order, so that if two phrases differ in linear order, they must also differ in hierarchical structure. It is standardly assumed that Universal Grammar (UG) allows a given hierarchical representation to be associated with more than one linear order. For example, English and Japanese phrases consisting of a verb and its complement are thought of as symmetrical to one another, differing only in linear order. The Antisymmetry of Syntax proposes a restrictive theory of word order and phrase structure that denies this assumption. According to this theory, phrase structure always completely determines linear order, so that if two phrases differ in linear order, they must also differ in hierarchical structure. More specifically, Richard Kayne shows that asymmetric c-command invariably maps into linear precedence. From this follows, with few further hypotheses, a highly specific theory of word order in UG: that complement positions must always follow their associated head, and that specifiers and adjoined elements must always precede the phrase that they are sister to. A further result is that standard X-bar theory is not a primitive component of UG. Rather, X-bar theory expresses a set of antisymmetric properties of phrase structure. This antisymmetry is inherited from the more basic antisymmetry of linear order. Linguistic Inquiry Monograph No. 25

In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

This important contribution to the Minimalist Program offers a comprehensive theory of locality and new insights into phrase structure and syntactic cartography. It unifies central components of the grammar and increases the symmetry in syntax. Its central hypothesis has broad empirical application and at the same time reinforces the central premise of minimalism that language is an optimal system. Cedric Boeckx focuses on two core components of grammar: phrase structure and locality. He argues that the domains which render syntactic processes local (such as islands, bounding nodes, barriers, and phases in all their cartographic manifestations) are better understood once reduced to, or combined with, the basic syntactic operation, Merge, and its core representation, the X-bar schema. In a detailed examination of the mechanism of phrasal projection or labelling he shows that viewing chains as X-bar phrases allows conditions on chain formation or movement to be captured. Clearly argued, accessibly written, and illustrated with examples from a wide range of languages, Bare Syntax will appeal to linguists and others interested in syntactic theory at graduate level and above.

Symmetrizing Syntax seeks to establish a minimal and natural characterization of the structure of human language (syntax), simplifying many facets of it that have been redundantly or asymmetrically formulated. Virtually all past theories of natural language syntax, from the traditional X-bar theory to the contemporary system of Merge and labeling, stipulate that every phrase structure is "asymmetrically" organized, so that one of its elements is always marked as primary/dominant over the others, or each and every phrase is labeled by a designated lexical element. The two authors call this traditional stipulation into question and hypothesize, instead, that linguistic derivations are essentially driven by the need to reduce asymmetry and generate symmetric structures. Various linguistic notions such as Merge, cyclic derivation by phase, feature-checking, morphological agreement, labeling, movement, and criterial freezing, as well as parametric differences among languages like English and Japanese, and so on, are all shown to follow from a particular notion of structural symmetry. These results constitute novel support for the contemporary thesis that human language is essentially an instance of a physical/biological object, and its design is governed by the laws of nature, at the core of which lies the fundamental principle of symmetry. Providing insights into new technical concepts in syntax, the volume is written for academics in linguistics but will also be accessible to linguistics students seeking an introduction to syntax.

Nominal sets provide a promising new mathematical analysis of names in formal languages based upon symmetry, with many applications to the syntax and semantics of programming language constructs that involve binding, or localising names. Part I provides an introduction to the basic theory of nominal sets. In Part II, the author surveys some of the applications that have developed in programming language semantics (both operational and denotational), functional programming and logic programming. As the first book to give a detailed account of the theory of nominal sets, it will be welcomed by researchers and graduate students in theoretical computer science.