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Book Varieties of Continua

    Book Details:
  • Author : Geoffrey Hellman
  • Publisher : Oxford University Press
  • Release : 2018-02-02
  • ISBN : 0191021350
  • Pages : 224 pages

Download or read book Varieties of Continua written by Geoffrey Hellman and published by Oxford University Press. This book was released on 2018-02-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Varieties of Continua explores the development of the idea of the continuous. Hellman and Shapiro begin with two historical episodes. The first is the remarkably rapid transition in the course of the nineteenth century from the ancient Aristotelian view, that a true continuum cannot be composed of points, to the now standard, point-based frameworks for analysis and geometry found in modern mainstream mathematics (stemming from the work of Bolzano, Cauchy, Weierstrass, Dedekind, Cantor, et al.). The second is the mid-tolate-twentieth century revival of pre-limit methods in analysis and geometry using infinitesimals including non-standard analysis (due to Abraham Robinson), and the more radical smooth infinitesimal analysis that uses intuitionistic logic. Hellman and Shapiro present a systematic comparison of these and related alternatives (including constructivist and predicative conceptions), weighing various trade-offs, helping articulate a modern pluralist perspective, and articulate a modern pluralist perspective on continuity. The main creative work of the book is the development of rigorous regions-based theories of classical continua, including Euclidean and non-Euclidean geometries, that are mathematically equivalent (inter-reducible) to the currently standard, point-based accounts in mainstream mathematics.

Book Varieties of Continua

Download or read book Varieties of Continua written by Geoffrey Hellman and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.

Book The History of Continua

Download or read book The History of Continua written by Stewart Shapiro and published by Oxford University Press, USA. This book was released on 2021 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

Book Creole and Dialect Continua

Download or read book Creole and Dialect Continua written by Geneviève Escure and published by John Benjamins Publishing. This book was released on 1997-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there is a substantial amount of linguistic research on standard language acquisition, little attention has been given to the mechanisms underlying second dialect acquisition. Using a combination of function-based grammar and sociolinguistic methodology to analyze topic marking strategies, the unguided acquisition of a standard by speakers of nonstandard varieties is examined in two distinct linguistic and geographical situations: in a Caribbean creole situation (Belize), with special attention to the acquisition of acrolects by native speakers of basilects, and in a noncreole situation (PRC), documenting the acquisition of standard Chinese (Putonghua) by speakers of nonstandard varieties represented in Cultural Revolution literature, Wuhan Chinese, and Suzhou Wu story-telling style. In both cases psychosocial factors, linguistic bias toward nonnative renderings of the standard varieties, the social status of their speakers, and related political and educational consequences play an important role in the development of second dialects. The broad-ranging analysis of a single feature of oral discourse leads to the formulation of cross-linguistic generalizations in acquisition studies and results in an evaluation of the putative uniqueness of creole languages. Related issues addressed include the effect of linguistic bias on the development and use of language varieties by marginalized groups; the interaction of three major language components — semantics, syntax, and pragmatics — in spontaneous communication; and the development of methods to identify discourse units. The ultimate goal underlying the comparison of specific discourse variables in Belizean and Chinese standard acquisition is to evaluate the relative merits of substratal, superstratal, and universal explanations in language development.

Book An Introduction to Sociolinguistics

Download or read book An Introduction to Sociolinguistics written by Ronald Wardhaugh and published by John Wiley & Sons. This book was released on 2009-10-12 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive new edition of Wardhaugh’s textbook incorporates additional study features and numerous new and updated references to bring the book completely up-to-date, whilst maintaining the features that made the book so popular with lecturers and students: accessible coverage of a wide range of issues, clearly written, and with useful student study features. A fully revised new edition of Ronald Wardhaugh’s popular introduction to sociolinguistics, which now includes over 150 new and updated references and new study features throughout Features new “Explorations” sections in each chapter incorporating suggested readings, discussion sections, and exercises – all designed to encourage students to develop their own skills and ideas Reflects new developments in the field, providing greater focus on ideas such as identity, solidarity, and markedness Provides balanced coverage of a range of topics, including: language dialects, pidgins and Creoles, codes, bilingualism, speech communities, variation, words and culture, ethnographies, solidarity and politeness, talk and action, gender, disadvantage, and planning Comprehensive and accessible, it is the ideal introduction for students coming to sociolinguistics for the first time

Book Status and Function of Languages and Language Varieties

Download or read book Status and Function of Languages and Language Varieties written by Ulrich Ammon and published by Walter de Gruyter. This book was released on 2012-06-25 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Continua of Biliteracy

Download or read book Continua of Biliteracy written by Nancy H. Hornberger and published by Multilingual Matters. This book was released on 2003-05-23 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biliteracy - the use of two or more languages in and around writing- is an inescapable feature of lives and schools worldwide, yet one which most educational policy and practice continue blithely to ignore. The continua of biliteracy featured in the present volume offers a comprehensive yet flexible model to guide educators, researchers, and policy-makers in designing, carrying out, and evaluating educational programs for the development of bilingual and multilingual learners, each program adapted to its own specific context, media, and contents.

Book Studies in Ancient Greek Dialects

Download or read book Studies in Ancient Greek Dialects written by Georgios Giannakis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-12-18 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new collective volume with over twenty important studies on less well-studied dialects of ancient Greek, particularly of the northern regions. The book covers geographically a broad area of the classical Greek world ranging from Central Greece to the overseas Greek colonies of Thrace and the Black Sea. Particular emphasis is placed on the epichoric varieties of areas on the northern fringe of the classical Greek world, including Thessaly, Epirus and Macedonia. Recent advances in research are taken into consideration in providing state-of-the art accounts of these understudied dialects, but also of more well-known dialects like Lesbian. In addition, other papers address special intriguing topics in these, but also in other dialects, such as Thessalian, Lesbian and Ionic, or focus on important multi-dialectal corpora such as the oracular tablets from Dodona. Finally, a number of studies examine broader topics like the supraregional Doric koinai or the concept of dialect continuum, or even explore the possibility of an ancient Balkansprachbund, which included Greek too. This new reference work covers a gap in current research and will be indispensable for people interested in Greek dialectology and ancient Greek in general.

Book Globalising Sociolinguistics

Download or read book Globalising Sociolinguistics written by Dick Smakman and published by Routledge. This book was released on 2015-05-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges the predominance of mainstream sociolinguistic theories by focusing on lesser known sociolinguistic systems, from regions of Africa, Asia, the Caribbean, South America, the European Mediterranean, and Slavic regions as well as specific speech communities such as those speaking Nivkh, Jamaican Creole, North Saami, and Central Yup’ik. In nineteen chapters, the specialist authors look at key sociolinguistic aspects of each region or speech community, such as gender, politeness strategies, speech patterns and the effects of social hierarchy on language, concentrating on the differences from mainstream models. The volume, introduced by Miriam Meyerhoff, has been written by the leading expert of each specific region or community and includes contributions by Rajend Mesthrie, Marc Greenberg and Daming Xu. This publication draws together connections across regions/communities and considers how mainstream sociolinguistics is incomplete or lacking. It reveals how lesser-known cultures can play an important role in the building of theory in sociolinguistics. Globalising Sociolinguistics is essential reading for any researcher in sociolinguistics and language variation and will be a key reference for advanced sociolinguistics courses.

Book Soil Structure and Fabric

Download or read book Soil Structure and Fabric written by R Brewer and published by CSIRO PUBLISHING. This book was released on 1988-01-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soil Structure and Fabric sets out a method of describing the structure and fabric of soils that proceeds consistently from macroscopic descriptions in the field to descriptions from standard thin sections as viewed with a light microscope. Most of the book is devoted to the description and classification of the microscopic characteristics of soils.

Book World Englishes

Download or read book World Englishes written by Kingsley Bolton and published by Taylor & Francis. This book was released on 2006 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dimensions of a Creole Continuum

Download or read book Dimensions of a Creole Continuum written by John R. Rickford and published by Stanford University Press. This book was released on 1987 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Stanford University Press classic.

Book Real Numbers  Generalizations of the Reals  and Theories of Continua

Download or read book Real Numbers Generalizations of the Reals and Theories of Continua written by P. Ehrlich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also witnessed the emergence of a variety of alternative theories of real numbers and corresponding theories of continua, as well as non-Archimedean geometry, non-standard analysis, and a number of important generalizations of the system of real numbers, some of which have been described as arithmetic continua of one type or another. With the exception of E.W. Hobson's essay, which is concerned with the ideas of Cantor and Dedekind and their reception at the turn of the century, the papers in the present collection are either concerned with or are contributions to, the latter groups of studies. All the contributors are outstanding authorities in their respective fields, and the essays, which are directed to historians and philosophers of mathematics as well as to mathematicians who are concerned with the foundations of their subject, are preceded by a lengthy historical introduction.

Book Language and Space

Download or read book Language and Space written by Peter Auer and published by Walter de Gruyter. This book was released on 2010 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of HANDBOOKS OF LINGUISTICS AND COMMUNICATION SCIENCE is designed to illuminate a field which not only includes general linguistics and the study of linguistics as applied to specific languages, but also covers those more recent areas which have developed from the increasing body of research into the manifold forms of communicative action and interaction. For "classic" linguistics there appears to be a need for a review of the state of the art which will provide a reference base for the rapid advances in research undertaken from a variety of theoretical standpoints, while in the more recent branches of communication science the handbooks will give researchers both an verview and orientation. To attain these objectives, the series will aim for a standard comparable to that of the leading handbooks in other disciplines, and to this end will strive for comprehensiveness, theoretical explicitness, reliable documentation of data and findings, and up-to-date methodology. The editors, both of the series and of the individual volumes, and the individual contributors, are committed to this aim. The languages of publication are English, German, and French. The main aim of the series is to provide an appropriate account of the state of the art in the various areas of linguistics and communication science covered by each of the various handbooks; however no inflexible pre-set limits will be imposed on the scope of each volume. The series is open-ended, and can thus take account of further developments in the field. This conception, coupled with the necessity of allowing adequate time for each volume to be prepared with the necessary care, means that there is no set time-table for the publication of the whole series. Each volume will be a self-contained work, complete in itself. The order in which the handbooks are published does not imply any rank ordering, but is determined by the way in which the series is organized; the editor of the whole series enlist a competent editor for each individual volume. Once the principal editor for a volume has been found, he or she then has a completely free hand in the choice of co-editors and contributors. The editors plan each volume independently of the others, being governed only by general formal principles. The series editor only intervene where questions of delineation between individual volumes are concerned. It is felt that this (modus operandi) is best suited to achieving the objectives of the series, namely to give a competent account of the present state of knowledge and of the perception of the problems in the area covered by each volume.

Book Language and Society in a Changing Italy

Download or read book Language and Society in a Changing Italy written by Arturo Tosi and published by Multilingual Matters. This book was released on 2001 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the interrelation between language and society in contemporary Italy. It aims to provide an up to date account of linguistic diversity, social variation, special codes and language varieties within Italian society, and in situations of language contact both within and outside Italy.

Book Varieties of Post classical and Byzantine Greek

Download or read book Varieties of Post classical and Byzantine Greek written by Klaas Bentein and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-11-09 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linguistic varieties such as female speech, foreigner talk, and colloquial language have not gone unnoticed when it comes to Classical Greek, but little is known about later periods of the Greek language. In this collective volume leading experts in the field outline some of the most important varieties of Post-classical and Byzantine Greek, basing themselves on a broad range of literary and documentary sources, and advancing a number of innovative methodologies. Close attention is paid to the linguistic features that characterize these varieties, with in-depth discussions of lexical, morpho-syntactic, orthographic, and metrical variation, as well as the interrelationship between these different types of variation. The volume thus offers valuable insights into the nature of Post-classical and Byzantine Greek, laying the foundation for future studies of linguistic variation in these later stages of the language, while at the same time providing a point of comparison for Classical Greek scholarship

Book Modal particles in Italian

Download or read book Modal particles in Italian written by Marco Favaro and published by Language Science Press. This book was released on 2023-12-20 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study investigates the properties of a set of Italian adverbs (among others: pure ‘also’, solo ‘only’, un po’ ‘a bit’) that, in specific contexts of use, modify the speech acts in which they appear. On the one hand, these elements specify the way in which a speech act should be interpreted with reference to the specific interactional context, modifying its illocutionary force. On the other hand, they index presupposed/inferred meanings active in the common ground of the interaction, integrating the speech act in the common ground. These functions closely resemble those of the elements that, especially in the German linguistic tradition, are called modal particles. Drawing on original data from Italian – both from the standard language and regional varieties – the goal of the study is to describe the synchronic features of these elements and to explain the emergence of the modal uses. For this purpose, it jointly employs theoretical notions of pragmatics (speech act theory, inferences in interaction), models of language change (reanalysis and conventionalization) and the descriptive tools of sociolinguistic approaches. Through the presentation of four case studies, integrating corpus and questionnaire data, the present work gives a thorough analysis of the modal functions and the contexts of use of the adverbs under investigation: it explores their role at the semantics/pragmatics interface, it discusses their place in a layered model of grammar and it examines their distribution across different language varieties.