Representation

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A Tour of Representation Theory

Author : Martin Lorenz
Publisher : American Mathematical Soc.
ISBN 13 : 1470436809
Total Pages : 654 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Tour of Representation Theory by : Martin Lorenz

Download or read book A Tour of Representation Theory written by Martin Lorenz and published by American Mathematical Soc.. This book was released on 2018 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector space. Besides being a subject of great intrinsic beauty, the theory enjoys the additional benefit of having applications in myriad contexts outside pure mathematics, including quantum field theory and the study of molecules in chemistry. Adopting a panoramic viewpoint, this book offers an introduction to four different flavors of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable and hopefully entice the reader to pursue research in representation theory. The book is intended as a textbook for a course on representation theory, which could immediately follow the standard graduate abstract algebra course, and for subsequent more advanced reading courses. Therefore, more than 350 exercises at various levels of difficulty are included. The broad range of topics covered will also make the text a valuable reference for researchers in algebra and related areas and a source for graduate and postgraduate students wishing to learn more about representation theory by self-study.

Representation

Author : Stuart Hall
Publisher : SAGE
ISBN 13 : 9780761954323
Total Pages : 422 pages
Book Rating : 4.9/5 (543 download)

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Book Synopsis Representation by : Stuart Hall

Download or read book Representation written by Stuart Hall and published by SAGE. This book was released on 1997-04-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad-ranging text offers a comprehensive outline of how visual images, language and discourse work as `systems of representation'. Individual chapters explore: representation as a signifying practice in a rich diversity of social contexts and institutional sites; the use of photography in the construction of national identity and culture; other cultures in ethnographic museums; fantasies of the racialized `Other' in popular media, film and image; the construction of masculine identities in discourses of consumer culture and advertising; and the gendering of narratives in television soap operas.

Introduction to Representation Theory

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 228 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Understanding Representation

Author : Jen Webb
Publisher : SAGE
ISBN 13 : 1446246531
Total Pages : 176 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis Understanding Representation by : Jen Webb

Download or read book Understanding Representation written by Jen Webb and published by SAGE. This book was released on 2008-12-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is an extraordinarily lucid book. I am not sure that there is anyone who can do this sort of thing better than Jen Webb. It is a gift to students; extremely accessible yet complex and sophisticated in its treatment of theories and concepts of representation." - Jim McGuigan, Loughborough University Understanding Representation offers a contemporary, coherent and genuinely interdisciplinary introduction to the concept of representation. Drawing together the full range of ideas, practices, techniques and disciplines associated with the subject, this book locates them in a historical context, presents them in a readable fashion, and shows their relevance to everyday life in an engaging and accessible manner. Readers will be shown how to develop a sophisticated attitude to meaning, and understand the relationship to truth and identity that is brought into focus by communicative practices. With chapters on linguistic and political representation, art and media, and philosophical and cognitive approaches, this book: Guides readers through complex theoretical terrain with a highly readable and refreshing writing style. Explains the techniques and perspectives offered by semiotics, discourse analysis, poetics, politics, narratology, visual culture, cognitive theory, performance theory and theories of embodied subjectivity. Covers the new ideas and practices that have emerged since the work of Barthes, Eco and Foucault - especially communication and meaning-making in the digital environment, and the new paradigms of understanding associated with cognitive theories of identity and language. Teaches readers how to interpret and interrogate the world of signs in which they live. Understanding Representation provides students across the social sciences and humanities with an invaluable introduction to what is meant by 'representation'.

Resemblance and Representation

Author : Ben Blumson
Publisher : Open Book Publishers
ISBN 13 : 1783740728
Total Pages : 222 pages
Book Rating : 4.7/5 (837 download)

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Book Synopsis Resemblance and Representation by : Ben Blumson

Download or read book Resemblance and Representation written by Ben Blumson and published by Open Book Publishers. This book was released on 2014-09-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: It’s a platitude – which only a philosopher would dream of denying – that whereas words are connected to what they represent merely by arbitrary conventions, pictures are connected to what they represent by resemblance. The most important difference between my portrait and my name, for example, is that whereas my portrait and I are connected by my portrait’s resemblance to me, my name and I are connected merely by an arbitrary convention. The first aim of this book is to defend this platitude from the apparently compelling objections raised against it, by analysing depiction in a way which reveals how it is mediated by resemblance. It’s natural to contrast the platitude that depiction is mediated by resemblance, which emphasises the differences between depictive and descriptive representation, with an extremely close analogy between depiction and description, which emphasises the similarities between depictive and descriptive representation. Whereas the platitude emphasises that the connection between my portrait and me is natural in a way the connection between my name and me is not, the analogy emphasises the contingency of the connection between my portrait and me. Nevertheless, the second aim of this book is to defend an extremely close analogy between depiction and description. The strategy of the book is to argue that the apparently compelling objections raised against the platitude that depiction is mediated by resemblance are manifestations of more general problems, which are familiar from the philosophy of language. These problems, it argues, can be resolved by answers analogous to their counterparts in the philosophy of language, without rejecting the platitude. So the combination of the platitude that depiction is mediated by resemblance with a close analogy between depiction and description turns out to be a compelling theory of depiction, which combines the virtues of common sense with the insights of its detractors.

The Concept of Representation

Author : Hanna F. Pitkin
Publisher : Univ of California Press
ISBN 13 : 9780520021563
Total Pages : 340 pages
Book Rating : 4.0/5 (215 download)

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Book Synopsis The Concept of Representation by : Hanna F. Pitkin

Download or read book The Concept of Representation written by Hanna F. Pitkin and published by Univ of California Press. This book was released on 1967 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises out of Hannah Pitkin's doctoral dissertation and is considered by political scientists to be the gold standard in terms of a philosophical treatment of the subject. Pitkin covers the historical evolution of thinking about representation from the Greeks through the founding of the American republic highlighting diverse thinkers and politicians like Edmund Burke, Jeremy Bentham, and James Madison as well as more contemporary scholars like Robert Dahl and Charles Lindblom.

Representation

Author : Monica Brito Vieira
Publisher : John Wiley & Sons
ISBN 13 : 0745658296
Total Pages : 174 pages
Book Rating : 4.7/5 (456 download)

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Book Synopsis Representation by : Monica Brito Vieira

Download or read book Representation written by Monica Brito Vieira and published by John Wiley & Sons. This book was released on 2013-04-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is representation? What does it mean when a politician represents citizens in government? How can citizens be represented beyond the boundaries of the nation-state? These are just some of the questions which will be answered by David Runciman and Mónica Brito Vieira as they explain why representation should be understood as one of the key concepts in modern politics. The first part of the book examines the historical roots of the concept of representation, from its origins in ancient Rome through to its role in the revolutionary politics of the modern world. The second looks at different varieties of representation – in law as well as politics. The final part asks how the concept of representation can help us think creatively about current and future challenges facing the world. Representation is too often treated as a secondary or qualifying idea – as in the phrase ‘representative democracy’. This book argues that we have this the wrong way round. Representation is the foundational idea in almost all areas of our political life. Making sense of representation in its own terms is crucial for seeing why democracy functions the way it does, and for exploring how it might function differently.

Meaning and Mental Representations

Author : Umberto Eco
Publisher : Indiana University Press
ISBN 13 : 9780253337245
Total Pages : 252 pages
Book Rating : 4.3/5 (372 download)

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Book Synopsis Meaning and Mental Representations by : Umberto Eco

Download or read book Meaning and Mental Representations written by Umberto Eco and published by Indiana University Press. This book was released on 1988 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: ..". an excellent collection... " -- Journal of Language Social Psychology An important collection of original essays by well-known scholars debating the questions of logical versus psychologically-based interpretations of language.

Rape and Representation

Author : Lynn A. Higgins
Publisher : Columbia University Press
ISBN 13 : 9780231514712
Total Pages : 348 pages
Book Rating : 4.5/5 (147 download)

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Book Synopsis Rape and Representation by : Lynn A. Higgins

Download or read book Rape and Representation written by Lynn A. Higgins and published by Columbia University Press. This book was released on 1993-07-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rape does not have to happen. The fact that it does--and in the United States a rape is reported every six minutes--indicates that we live in a rape-prone culture where rape or the threat of rape functions as a tool for enforcing sexual difference and hierarchy. Rape and Representation explores how cultural forms construct and reenforce social attitudes and behaviors that perpetuate sexual violence. The essays proceed from the observation that literature not only reflects but also contributes to what a society believes about itself. Fourteen essays by authors in the fields of English, American and African-American, German, African, Brazilian, Classical, and French literatures and film present a wide range of texts from different historical periods and cultures. Contributors demythologize patriarchal representation in literature and art in order to show how it makes rape seem natural and inevitable. Contributors include: the editors, John J. Winkler, Patricia Klindiest Joplin, Susan Winnett, Ellen Rooney, Coppélia Kahn, Eileen Julien, Marta Peixoto, Kathryn Gravdal, Carla Freccero, Nellie V. McKay, Nancy A. Jones, and Froma I. Zeitlin. Their work raises pressing--and often difficult--questions for feminist criticism.

Design Representation

Author : Gabriela Goldschmidt
Publisher : Springer Science & Business Media
ISBN 13 : 1852338636
Total Pages : 222 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Design Representation by : Gabriela Goldschmidt

Download or read book Design Representation written by Gabriela Goldschmidt and published by Springer Science & Business Media. This book was released on 2007-05-28 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...there is a global network of academics, researchers and methodologists who will buy this book or want it in their institute libraries.” Prof. John Harbraken "As the field of human computer interaction grows, this book is likely to be a basic resource.” Prof. Chuck Eastman Design representation is necessary for all design activity. You will gain a guide to both theory and practical application in this discussion of representation as it occurs during the process of design. Goldschmidt and Porter give you perspectives on representational issues in design that are both informative and evocative of further inquiry. The unique interdisciplinary approach brings a new dimension to the study of representation, benefiting the global network of researchers, students and practitioners in all areas of design. Rather than addressing the larger framework directly, a series of smaller case studies are presented, each dealing with aspects of representation in architecture and engineering. Binding together historical-cultural, cognitive-social and technological perspectives eliminates the need for further reading. Innovative research methods based on numerous well-illustrated examples will leave you with new ideas to build on. International contributors focus on worldwide research activities, offering you more than just an expansion of a single viewpoint. Design Representation delves into the common roots of representation in all design disciplines through case studies, historical investigations, theoretical constructs and programming. If you are involved in any design activity, this will be a truly exciting addition to your bookshelf.

Art and Representation

Author : John Willats
Publisher : Princeton University Press
ISBN 13 : 9780691087375
Total Pages : 428 pages
Book Rating : 4.0/5 (873 download)

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Book Synopsis Art and Representation by : John Willats

Download or read book Art and Representation written by John Willats and published by Princeton University Press. This book was released on 1997 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Art and Representation, John Willats presents a radically new theory of pictures. To do this, he has developed a precise vocabulary for describing the representational systems in pictures: the ways in which artists, engineers, photographers, mapmakers, and children represent objects. His approach is derived from recent research in visual perception and artificial intelligence, and Willats begins by clarifying the key distinction between the marks in a picture and the features of the scene that these marks represent. The methods he uses are thus closer to those of a modern structural linguist or psycholinguist than to those of an art historian. Using over 150 illustrations, Willats analyzes the representational systems in pictures by artists from a wide variety of periods and cultures. He then relates these systems to the mental processes of picture production, and, displaying an impressive grasp of more than one scholarly discipline, shows how the Greek vase painters, Chinese painters, Giotto, icon painters, Picasso, Paul Klee, and David Hockney have put these systems to work. But this book is not only about what systems artists use but also about why artists from different periods and cultures have used such different systems, and why drawings by young children look so different from those by adults. Willats argues that the representational systems can serve many different functions beyond that of merely providing a convincing illusion. These include the use of anomalous pictorial devices such as inverted perspective, which may be used for expressive reasons or to distance the viewer from the depicted scene by drawing attention to the picture as a painted surface. Willats concludes that art historical changes, and the developmental changes in children's drawings, are not merely arbitrary, nor are they driven by evolutionary forces. Rather, they are determined by the different functions that the representational systems in pictures can serve. Like readers of Ernst Gombrich's famous Art and Illusion (still available from Princeton University Press), on which Art and Representation makes important theoretical advances, or Rudolf Arnheim's Art and Visual Perception, Willats's readers will find that they will never again return to their old ways of looking at pictures.

Knowledge Representation and Reasoning

Author : Ronald Brachman
Publisher : Morgan Kaufmann
ISBN 13 : 1558609326
Total Pages : 414 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Knowledge Representation and Reasoning by : Ronald Brachman

Download or read book Knowledge Representation and Reasoning written by Ronald Brachman and published by Morgan Kaufmann. This book was released on 2004-05-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge representation is at the very core of a radical idea for understanding intelligence. This book talks about the central concepts of knowledge representation developed over the years. It is suitable for researchers and practitioners in database management, information retrieval, object-oriented systems and artificial intelligence.

Motion and Representation

Author : Nicolas Salazar Sutil
Publisher : MIT Press
ISBN 13 : 0262028883
Total Pages : 285 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Motion and Representation by : Nicolas Salazar Sutil

Download or read book Motion and Representation written by Nicolas Salazar Sutil and published by MIT Press. This book was released on 2015-05-08 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of the ways human movement can be represented as a formal language and how this language can be mediated technologically. In Motion and Representation, Nicolás Salazar Sutil considers the representation of human motion through languages of movement and technological mediation. He argues that technology transforms the representation of movement and that representation in turn transforms the way we move and what we understand to be movement. Humans communicate through movement, physically and mentally. To record and capture integrated movement (both bodily and mental), by means of formal language and technological media, produces a material record and cultural expression of our evolving kinetic minds and identities. Salazar Sutil considers three forms of movement inscription: a written record (notation), a visual record (animation), and a computational record (motion capture). He focuses on what he calls kinetic formalism—formalized movement in such pursuits as dance, sports, live animation, and kinetic art, as well as abstract definitions of movement in mathematics and computer science. He explores the representation of kinetic space and spatiotemporality; the representation of mental plans of movement; movement notation, including stave notation (Labanotation) and such contemporary forms of notation as Choreographic Language Agent; and the impact of digital technology on contemporary representations of movement—in particular motion capture technology and Internet transfer protocols. Motion and Representation offers a unique cultural theory of movement and of the ever-changing ways of representing movement.

Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize

Author : Sergei Vasilʹevich Kerov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889633
Total Pages : 224 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize by : Sergei Vasilʹevich Kerov

Download or read book Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize written by Sergei Vasilʹevich Kerov and published by American Mathematical Soc.. This book was released on with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics.

Spatial Representation

Author : Barbara Landau
Publisher : Oxford University Press
ISBN 13 : 0199921377
Total Pages : pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Spatial Representation by : Barbara Landau

Download or read book Spatial Representation written by Barbara Landau and published by Oxford University Press. This book was released on 2012-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Our experience of the spatial world is a unitary one; we perceive objects and layouts, we remember them and act on them, and we can even talk about them with ease. Despite this impression of seamlessness, spatial representations in human adults appear to be specialized in domain-dependent manner, engaging different properties and computational mechanisms for different functions. In this book, the authors present evidence that this domain-specific specialization in cognitive function emerges early in development and is reflected in patterns of breakdown that occur under genetic defect. The authors focus on spatial representation in children and adults with Williams syndrome, a relatively rare genetic syndrome that gives rise to an unusual profile of severely impaired spatial representation together with spared language. Results from a variety of spatial domains -- including object representation, motion perception, action, navigation, and spatial language -- appear to display a strikingly uneven profile of sparing and deficit within spatial representations, consistent with the idea that specialization of function drives development and breakdown. These findings raise a crucial question: Can specific genes target specific aspects of cognitive structure? Looking deeper into the patterns of performance across spatial domains, the book explores the notion that understanding patterns of normal development across domains is crucial to understanding unusual development. Using insights from normal development, the authors propose a speculative hypothesis that explains the emergence of the William syndrome profile, and how complex cognitive outcomes can arise from the deletion of a small set of genes.

Representation and Citizenship

Author : Richard Marback
Publisher : Series in Citizenship
ISBN 13 : 9780814342466
Total Pages : 0 pages
Book Rating : 4.3/5 (424 download)

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Book Synopsis Representation and Citizenship by : Richard Marback

Download or read book Representation and Citizenship written by Richard Marback and published by Series in Citizenship. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concern with representation figures inescapably in the study of citizenship. From the initial formulations of a notion of citizenship in ancient Greece, in which citizens were persons charged with representing the interests of the city-state, concern about who and what gets represented, as well as how and why those people and things get represented, has been central in formulas describing the citizen's relationship to a political community. Since the seventeenth century, the tension between citizens as representatives of the interests of the state and the state as representative of the interests of its citizens has found both practical and theoretical elaborations in understandings and exercises of citizenship. Today, the concept of representation resonates widely within citizenship studies, and its general ambiguity gives expression to many of the key issues of community membership, creating in this way a critical vocabulary through which those issues can be expressed. It is this vocabulary of representation that this book examines. Representation and Citizenship is a collection of seven essays that speak to the pull in citizenship studies between founding beliefs that organize political communities and claims for multicultural and cosmopolitan expansions of those community beliefs. Each contributor takes a stance on supporting either founding beliefs or multicultural values, yet none are at the exclusion of the other. The essays explore the relevance of specific national contexts, including the United States, Canada, and Korea, and as a whole, argue that the tension between inclusion and exclusion retains significance for any assertion of what citizenship means. The audience for this book includes, but is not limited to, students and scholars in citizenship studies, history, law, political science, and social science, especially those interested in issues of patriotism and multiculturalism.

The Musical Representation

Author : Charles O. Nussbaum
Publisher : MIT Press
ISBN 13 : 0262140969
Total Pages : 401 pages
Book Rating : 4.2/5 (621 download)

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Book Synopsis The Musical Representation by : Charles O. Nussbaum

Download or read book The Musical Representation written by Charles O. Nussbaum and published by MIT Press. This book was released on 2007 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: How human musical experience emerges from the audition of organized tones is a riddle of long standing. In The Musical Representation, Charles Nussbaum offers a philosophical naturalist's solution. Nussbaum founds his naturalistic theory of musical representation on the collusion between the physics of sound and the organization of the human mind-brain. He argues that important varieties of experience afforded by Western tonal art music since 1650 arise through the feeling of tone, the sense of movement in musical space, cognition, emotional arousal, and the engagement, by way of specific emotional responses, of deeply rooted human ideals. Construing the art music of the modern West as representational, as a symbolic system that carries extramusical content, Nussbaum attempts to make normative principles of musical representation explicit and bring them into reflective equilibrium with the intuitions of competent listeners. Nussbaum identifies three modes of musical representation, describes the basis of extramusical meaning, and analyzes musical works as created historical entities (performances of which are tokens or replicas). In addition, he explains how music gives rise to emotions and evokes states of mind that are religious in character. Nussbaum's argument proceeds from biology, psychology, and philosophy to music--and occasionally from music back to biology, psychology, and philosophy. The human mind-brain, writes Nussbaum, is a living record of its evolutionary history; relatively recent cognitive acquisitions derive from older representational functions of which we are hardly aware. Consideration of musical art can help bring to light the more ancient cognitive functions that underlie modern human cognition. The biology, psychology, and philosophy of musical representation, he argues, have something to tell us about what we are, based on what we have been.