Deriving Coordinate Symmetries


Book Description

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


Book Description

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.




General Relativity for Mathematicians


Book Description

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).










Symmetry and Spectroscopy


Book Description




Report of the Annual Meeting


Book Description




Report of the Annual Meeting


Book Description