Language Processing Problems

Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic.

Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic.

What is the nature of human thought? A long dominant view holds that the mind is a general problem-solving device that approaches all questions in much the same way. Chomsky's theory of language, which revolutionised linguistics, challenged this claim, contending that children are primed to acquire some skills, like language, in a manner largely independent of their ability to solve other sorts of apparently similar mental problems. In recent years researchers in anthropology, psychology, linguistic and neuroscience have examined whether other mental skills are similarly independent. Many have concluded that much of human thought is 'domain-specific'. Thus, the mind is better viewed as a collection of cognitive abilities specialised to handle specific tasks than a general problem solver. This volume introduces a general audience to a domain-specificity perspective, by compiling a collection of essays exploring how several of these cognitive abilities are organised.

The Bloomsbury Handbook to the Digital Humanities reconsiders key debates, methods, possibilities, and failings from across the digital humanities, offering a timely interrogation of the present and future of the arts and humanities in the digital age. Comprising 43 essays from some of the field’s leading scholars and practitioners, this comprehensive collection examines, among its many subjects, the emergence and ongoing development of DH, postcolonial digital humanities, feminist digital humanities, race and DH, multilingual digital humanities, media studies as DH, the failings of DH, critical digital humanities, the future of text encoding, cultural analytics, natural language processing, open access and digital publishing, digital cultural heritage, archiving and editing, sustainability, DH pedagogy, labour, artificial intelligence, the cultural economy, and the role of the digital humanities in climate change. The Bloomsbury Handbook to the Digital Humanities:Surveys key contempo

An introduction to a new science-based somatic psychotherapy that effectively relieves emotional difficulties, regulates behavior, and improves wellbeing. Integral Somatic Psychology (ISP) is an easy-to-learn therapeutic modality developed by author and psychologist Dr. Raja Selvam, who believes optimal mental health relies on our ability to fully embody our emotions. Drawing on neuroscience, body-psychotherapy, somatic psychology, and cognitive-behavioral therapy, Selvam describes how our bodies can be used as vehicles for affective processing, thereby alleviating mental suffering while regulating behavior and enhancing memory, language, and critical thinking. Clinicians will learn capacity-building skills to teach their clients, like how to tolerate all feelings (especially the uncomfortable ones) while navigating life's inevitable challenges. Selvam describes what he sees as four new categories of emotional embodiment work: - Situation, which links context to affect response.- Emoti

With its intuitive yet rigorous approach to machine learning, this text provides students with the fundamental knowledge and practical tools needed to conduct research and build data-driven products. The authors prioritize geometric intuition and algorithmic thinking, and include detail on all the essential mathematical prerequisites, to offer a fresh and accessible way to learn. Practical applications are emphasized, with examples from disciplines including computer vision, natural language processing, economics, neuroscience, recommender systems, physics, and biology. Over 300 color illustrations are included and have been meticulously designed to enable an intuitive grasp of technical concepts, and over 100 in-depth coding exercises (in Python) provide a real understanding of crucial machine learning algorithms. A suite of online resources including sample code, data sets, interactive lecture slides, and a solutions manual are provided online, making this an ideal text both for grad

Speech has long been thought of as a uniquely defining characteristic of humans. Yet song birds, like humans, communicate using learned signals (song, speech) that are acquired from their parents by a process of vocal imitation. Both song and speech begin as amorphous vocalizations (subsong, babble) that are gradually transformed into an individualized version of the parents' speech, including dialects. With contributions from both the founding forefathers and younger researchers of this field, this book provides a comprehensive summary of birdsong neurobiology, and identifies the common brain mechanisms underlying this achievement in both birds and humans. Written primarily for advanced graduates and researchers, there is an introductory overview covering song learning, the parallels between language and birdsong and the relationship between the brains of birds and mammals; subsequent sections deal with producing, processing, learning and recognizing song, as well as with hormonal and

The lexicon is now a major focus of research in computational linguistics and natural language processing (NLP), as more linguistic theories concentrate on the lexicon and as the acquisition of an adequate vocabulary has become the chief bottleneck in developing practical NLP systems. This collection describes techniques of lexical representation within a unification-based framework and their linguistic application, concentrating on the issue of structuring the lexicon using inheritance and defaults. Topics covered include typed feature structures, default unification, lexical rules, multiple inheritance and non-monotonic reasoning. The contributions describe both theoretical results and implemented languages and systems, including DATR, the Stuttgart TFS and ISSCO's ELU. This book arose out of a workshop on default inheritance in the lexicon organized as a part of the Esprit ACQUILEX project on computational lexicography. Besides the contributed papers mentioned above, it contains a

This book unites speech act theory and conversation analysis to advance a theory of conversational competence. It is predicated on the assumption that speech act theory, if it is to be of genuine empirical and theoretical significance, must be embedded within a general theory of conversational competence capable of accounting for how we do things with words in naturally occurring conversation, and it can usefully be seen as a synthesis of traditional speech act theory, conversation analysis, and artificial intelligence research in natural language processing. Michael L. Geis analyses a variety of naturally occurring conversations, presenting them within a framework of computational interest and within discourse representation theory. In particular, he offers an explicit mapping of semantic and pragmatic (i.e. speech-act-theoretic) meaning features and politeness features into so-called conventionalized indirect speech act forms.

The human organs of perception are constantly bombarded with chemicals from the environment. Our bodies have in turn developed complex processing systems, which manifest themselves in our emotions, memory, and language. Yet the available data on the high order cognitive implications of taste and smell are scattered among journals in many fields, with no single source synthesizing the large body of knowledge, much of which has appeared in the last decade. This book presents the first multidisciplinary synthesis of the literature in olfactory and gustatory cognition. Leading experts have written chapters on many facets of taste and smell, including odor memory, cortical representations, psychophysics and functional imaging studies, genetic variation in taste, and the hedonistic dimensions of odors. The approach is integrative, combining perspectives from neuroscience, psychology, anthropology, philosophy, and linguistics, and is appropriate for students and researchers in all of these ar

The human organs of perception are constantly bombarded with chemicals from the environment. Our bodies have in turn developed complex processing systems, which manifest themselves in our emotions, memory, and language. Yet the available data on the high order cognitive implications of taste and smell are scattered among journals in many fields, with no single source synthesizing the large body of knowledge, much of which has appeared in the last decade. This book presents the first multidisciplinary synthesis of the literature in olfactory and gustatory cognition. Leading experts have written chapters on many facets of taste and smell, including odor memory, cortical representations, psychophysics and functional imaging studies, genetic variation in taste, and the hedonistic dimensions of odors. The approach is integrative, combining perspectives from neuroscience, psychology, anthropology, philosophy, and linguistics, and is appropriate for students and researchers in all of these ar

This collection of papers by William J. McGuire reports research on the phenomenal self, revealing how we selectively perceive ourselves and other complex stimuli in terms of distinctive or atypical features, often noticing what is missing rather than what is there. The content, structure, and processing of thought systems surrounding the self and other complex stimuli are shown to function by balancing logical consistency, realistic coping, and hedonic gratification. Attitude change and social influence processes are described, with particular attention given to the personality correlates of persuasability, how beliefs can be immunized against persuasion, how persuasive communications affect beliefs, and how people can be persuaded by Socratic questioning that does not give them new information but rather directs their attention to information they already have. Also reported are findings on language and thought, psychology and history, and techniques of creative thinking in psycholog

This book unites speech act theory and conversation analysis to advance a theory of conversational competence. It is predicated on the assumption that speech act theory, if it is to be of genuine empirical and theoretical significance, must be embedded within a general theory of conversational competence capable of accounting for how we do things with words in naturally occurring conversation, and it can usefully be seen as a synthesis of traditional speech act theory, conversation analysis, and artificial intelligence research in natural language processing. Michael L. Geis analyses a variety of naturally occurring conversations, presenting them within a framework of computational interest and within discourse representation theory. In particular, he offers an explicit mapping of semantic and pragmatic (i.e. speech-act-theoretic) meaning features and politeness features into so-called conventionalized indirect speech act forms.

Effective communication is the ultimate, but often daunting, purpose of any medical research or review. This book provides the practical information necessary to turn first drafts into concise, unambiguous text, without loss of individuality. Written by a consultant anaesthetist and an experienced medical editor, and also illustrated by an accomplished medical editor, all of whom are sympathetic to the problems and needs of medical writers, this book deals with the basic craft of writing, from choosing the best word or phrase to essential grammar. This expanded fourth edition includes many more words better replaced, and deals explicitly with the problems of writers whose first language is not English. Whether you are writing a simple clinical report or a thesis, supervising others, running a course on medical or scientific writing, or just want to develop your skills in written communication, this book is the ideal guide and reference. Clear, simple and precise, and illustrated with a

Simone Weil's Leçons de Philosophie are derived from a course she taught at the lycée for girls at Roanne in 1933–4. Anne Reynaud-Guérithault was a pupil in the class; her notes are not a verbatim record but are a very full and, as far as one can judge, faithful rendering, often catching the unmistakable tone of Simone Weil's voice as well as the force and the directness of her thought. The lectures form a good general introduction to philosophy, ranging widely over problems about perception, mind, language, reasoning and problems in moral and political philosophy too. Her method of presentation is a characteristic combination of abstract argument, personal experience and literary or historical reference. Peter Winch points out in his introduction to the book some of the more systematic connections in her philosophical work (and between this philosophical work and her other concerns), and makes a number of suggestive comparisons between Simone Weil and Wittgenstein. The translation is

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

The late James Adam's edition of The Republic of Plato was published in 1902 and has long been out of print; it still remains among the most detailed and valuable critical editions available. D. A. Rees, Fellow and Tutor of Jesus College, Oxford, has written an introduction of 15,000 words for this edition. In it, he surveys Adam's work on The Republic and reviews subsequent work on the textual problems, language and meaning of the book. The book is divided into two volumes; Volume I. Introduction and Books I–V, and Volume II, printed here, Books VI–X and Indexes.

The late James Adam's edition of The Republic of Plato was published in 1902 and has long been out of print; it still remains among the most detailed and valuable critical editions available. D. A. Rees, Fellow and Tutor of Jesus College, Oxford, has written an introduction of 15,000 words for this edition. In it, he surveys Adam's work on The Republic and reviews subsequent work on the textual problems, language and meaning of the book. The book is divided into two volumes; Volume I, printed here, Introduction and Books I–V, and Volume II. Books VI–X and Indexes.

This textbook is designed as a first book on concurrent programming for computer science undergraduates, and provides a comprehensive introduction to the problems of concurrency. Concurrency is of vital importance in many areas of computer science, particularly in operating systems. It is also increasingly being taught in undergraduate courses. The book builds on the student's familiarity with sequential programming in a high level language, which will make it very accessible to computer science students. The book is concerned mainly with the high level aspects of concurrency, which will be equally applicable to traditional time sliced or more recent truly parallel systems.

Derived from a meeting of natural and social scientists, this interdisciplinary book aims to summarize the main issues regarding the problem of human aggression, as well as human beliefs about the subject. This study brings together internationally known authorities and presents their recent contributions which range in complexity from the physiological to individual aggression, group conflict, and international war. The study concludes with a multilevel approach to the problems of aggression and war. In nontechnical language suitable for general science readers, the book provides a valuable framework for the development of ideas and new attitudies in a field rife with misconceptions.

In this book Craig, Kinney and their collaborators confront the main unsolved mysteries in Shakespeare's canon through computer analysis of Shakespeare's and other writers' styles. In some cases their analysis confirms the current scholarly consensus, bringing long-standing questions to something like a final resolution. In other areas the book provides more surprising conclusions: that Shakespeare wrote the 1602 additions to The Spanish Tragedy, for example, and that Marlowe along with Shakespeare was a collaborator on Henry VI, Parts 1 and 2. The methods used are more wholeheartedly statistical, and computationally more intensive, than any that have yet been applied to Shakespeare studies. The book also reveals how word patterns help create a characteristic personal style. In tackling traditional problems with the aid of the processing power of the computer, harnessed through computer science, and drawing upon large amounts of data, the book is an exemplar of the new domain of digita

In this book Craig, Kinney and their collaborators confront the main unsolved mysteries in Shakespeare's canon through computer analysis of Shakespeare's and other writers' styles. In some cases their analysis confirms the current scholarly consensus, bringing long-standing questions to something like a final resolution. In other areas the book provides more surprising conclusions: that Shakespeare wrote the 1602 additions to The Spanish Tragedy, for example, and that Marlowe along with Shakespeare was a collaborator on Henry VI, Parts 1 and 2. The methods used are more wholeheartedly statistical, and computationally more intensive, than any that have yet been applied to Shakespeare studies. The book also reveals how word patterns help create a characteristic personal style. In tackling traditional problems with the aid of the processing power of the computer, harnessed through computer science, and drawing upon large amounts of data, the book is an exemplar of the new domain of digita

Winner of the Nobel Prize for Literature."With the concentration of poetry and the frankness of prose, Muller depicts the language of the dispossessed"Jury of the Nobel Prize for Literature"[Müller's] dark, closely observed and sometimes violent work often explores exile and the grim quotidian realities of life under Ceausescu. . . . Her sensibility is often bleak, but the detail in her fiction can whip it alive"New York TimesThe Passport is a beautiful, haunting novel whose subject is a German village in Romania caught between the stifling hopelessness of Ceaucescu's dictatorship and the glittering temptations of the West. Stories from the past are woven together with the problems Windisch, the village miller, faces after he applies for permission to migrate to West Germany. Herta Müller describes with poetic attention the dreams and superstitions, conflicts and oppression of a forgotten region, the Banat, in the Danube Plain. In sparse, poetic language, Müller captures the forlorn pl

Taking a fresh look at mistaken identity in the work of an author who helped to introduce the device to comedy, in this book Professor Traill shows how the outrageous mistakes many male characters in Menander make about women are grounded in their own emotional needs. The core of the argument derives from analysis of speeches by or about women, with particular attention to the language used to articulate problems of knowledge and perception, responsibility and judgement. Not only does Menander freely borrow language, situations, and themes from tragedy, but he also engages with some of tragedy's epistemological questions, particularly the question of how people interpret what they see and hear. Menander was instrumental in turning the tragic theme of human ignorance into a comic device and inventing a plot type with enormous impact on the western tradition. This book provides original insights into his achievements within their historical and intellectual context.

Taking a fresh look at mistaken identity in the work of an author who helped to introduce the device to comedy, in this book Professor Traill shows how the outrageous mistakes many male characters in Menander make about women are grounded in their own emotional needs. The core of the argument derives from analysis of speeches by or about women, with particular attention to the language used to articulate problems of knowledge and perception, responsibility and judgement. Not only does Menander freely borrow language, situations, and themes from tragedy, but he also engages with some of tragedy's epistemological questions, particularly the question of how people interpret what they see and hear. Menander was instrumental in turning the tragic theme of human ignorance into a comic device and inventing a plot type with enormous impact on the western tradition. This book provides original insights into his achievements within their historical and intellectual context.

The myth of fire stolen from the gods appears in many pre-industrial societies. In Greek culture Prometheus the fire-stealer figures prominently in the poems of Hesiod, but in Prometheus Bound Hesiod's morality tale has been transformed into a drama of tragic tone and proportions. In the introduction, Mark Griffith examines how the dramatist has achieved this transformation, looking at the play from all angles - plot and characters, dramatic technique, style and metre. He includes a short section on the production of the play and on the questions of authenticity and date. The commentary guides the reader through problems of language, metre and content. An important feature of this volume is the appendix, which gathers together the existing fragments of the other two plays in the supposed Prometheus trilogy, quoting them in full in the original language and in translation, with short accompanying commentary. This is suitable for undergraduates and students in the upper forms of schools.

The twenty-fourth book of the Iliad - the account of Priam's ransoming of Hector's body from Achilles - is one of the masterpieces of world literature, a work of interest to a far wider audience than scholars of ancient Greek. In this edition Colin Macleod tries to reach both scholars and Greekless readers alike. In his commentary he gives help to readers unfamiliar with the language of Homer and discusses problems of content and expression, never treating this book in isolation but drawing attention to Homer's artistry and thought in the context of the whole of the Iliad. In his introduction Mr Macleod examines Homer's notion of poetry, his style and language and the architecture and meaning of his work. He tries to show why Book XXIV is a proper conclusion to the Iliad. This is an edition for classical scholars, undergraduates and students in the upper forms of schools. The introduction and substantial parts of the commentary require no knowledge of Greek and should find readers amon

Deep learning on graphs has become one of the hottest topics in machine learning. The book consists of four parts to best accommodate our readers with diverse backgrounds and purposes of reading. Part 1 introduces basic concepts of graphs and deep learning; Part 2 discusses the most established methods from the basic to advanced settings; Part 3 presents the most typical applications including natural language processing, computer vision, data mining, biochemistry and healthcare; and Part 4 describes advances of methods and applications that tend to be important and promising for future research. The book is self-contained, making it accessible to a broader range of readers including (1) senior undergraduate and graduate students; (2) practitioners and project managers who want to adopt graph neural networks into their products and platforms; and (3) researchers without a computer science background who want to use graph neural networks to advance their disciplines.

Syntax – the study of sentence structure – has been at the centre of generative linguistics from its inception and has developed rapidly and in various directions. The Cambridge Handbook of Generative Syntax provides a historical context for what is happening in the field of generative syntax today, a survey of the various generative approaches to syntactic structure available in the literature and an overview of the state of the art in the principal modules of the theory and the interfaces with semantics, phonology, information structure and sentence processing, as well as linguistic variation and language acquisition. This indispensable resource for advanced students, professional linguists (generative and non-generative alike) and scholars in related fields of inquiry presents a comprehensive survey of the field of generative syntactic research in all its variety, written by leading experts and providing a proper sense of the range of syntactic theories calling themselves generative

The role of robots in society keeps expanding and diversifying, bringing with it a host of issues surrounding the relationship between robots and humans. This introduction to human-robot interaction (HRI), written by leading researchers in this developing field, is the first to provide a broad overview of the multidisciplinary topics central to modern HRI research. Students and researchers from robotics, artificial intelligence, psychology, sociology, and design will find it a concise and accessible guide to the current state of the field. Written for students from diverse backgrounds, it presents relevant background concepts, describing how robots work, how to design them, and how to evaluate their performance. Self-contained chapters discuss a wide range of topics, including the different communication modalities such as speech and language, non-verbal communication and the processing of emotions, as well as ethical issues around the application of robots today and in the context of

This edited volume provides an overview of the latest advancements in adaptive training technology. Intelligent tutoring has been deployed for well-defined and relatively static educational domains such as algebra and geometry. However, this adaptive approach to computer-based training has yet to come into wider usage for domains that are less well defined or where student-system interactions are less structured, such as during scenario-based simulation and immersive serious games. In order to address how to expand the reach of adaptive training technology to these domains, leading experts in the field present their work in areas such as student modeling, pedagogical strategy, knowledge assessment, natural language processing and virtual human agents. Several approaches to designing adaptive technology are discussed for both traditional educational settings and professional training domains. This book will appeal to anyone concerned with educational and training technology at a profess

The Seismic Analysis Code (SAC) is one of the most widely used analysis packages for regional and teleseismic seismic data. For the first time, this book provides users at introductory and advanced levels with a complete guide to SAC. It leads new users of SAC through the steps of learning basic commands, describes the SAC processing philosophy, and presents its macro language in full, supported throughout with example inputs and outputs from SAC. For more experienced practitioners, the book describes SAC's many hidden features, including advanced graphics aspects, its file structure, how to write independent programs to access and create files, and much more. Tutorial exercises engage users with newly acquired skills, providing data and code to implement the standard methods of teleseismic shear-wave splitting and receiver function analysis. Methodical and authoritative, this is a key resource for researchers and graduate students in global seismology, earthquake seismology and geophy

The Seismic Analysis Code (SAC) is one of the most widely used analysis packages for regional and teleseismic seismic data. For the first time, this book provides users at introductory and advanced levels with a complete guide to SAC. It leads new users of SAC through the steps of learning basic commands, describes the SAC processing philosophy, and presents its macro language in full, supported throughout with example inputs and outputs from SAC. For more experienced practitioners, the book describes SAC's many hidden features, including advanced graphics aspects, its file structure, how to write independent programs to access and create files, and much more. Tutorial exercises engage users with newly acquired skills, providing data and code to implement the standard methods of teleseismic shear-wave splitting and receiver function analysis. Methodical and authoritative, this is a key resource for researchers and graduate students in global seismology, earthquake seismology and geophy

This edited volume provides an overview of the latest advancements in adaptive training technology. Intelligent tutoring has been deployed for well-defined and relatively static educational domains such as algebra and geometry. However, this adaptive approach to computer-based training has yet to come into wider usage for domains that are less well defined or where student-system interactions are less structured, such as during scenario-based simulation and immersive serious games. In order to address how to expand the reach of adaptive training technology to these domains, leading experts in the field present their work in areas such as student modeling, pedagogical strategy, knowledge assessment, natural language processing and virtual human agents. Several approaches to designing adaptive technology are discussed for both traditional educational settings and professional training domains. This book will appeal to anyone concerned with educational and training technology at a profess

Many people with autism spectrum disorders (ASDs) are remarkably proficient at remembering how things look and sound, even years after an event. They are also good at rote learning and establishing habits and routines. Some even have encyclopaedic memories. However, all individuals with ASD have difficulty in recalling personal memories and reliving experiences, and less able people may have additional difficulty in memorising facts. This book assembles research on memory in autism to examine why this happens and the effects it has on people's lives. The contributors utilise advances in the understanding of normal memory systems and their breakdown as frameworks for analysing the neuropsychology and neurobiology of memory in autism. The unique patterning of memory functions across the spectrum illuminates difficulties with sense of self, emotion processing, mental time travel, language and learning, providing a window into the nature and causes of autism itself.

Many people with autism spectrum disorders (ASDs) are remarkably proficient at remembering how things look and sound, even years after an event. They are also good at rote learning and establishing habits and routines. Some even have encyclopaedic memories. However, all individuals with ASD have difficulty in recalling personal memories and reliving experiences, and less able people may have additional difficulty in memorising facts. This book assembles research on memory in autism to examine why this happens and the effects it has on people's lives. The contributors utilise advances in the understanding of normal memory systems and their breakdown as frameworks for analysing the neuropsychology and neurobiology of memory in autism. The unique patterning of memory functions across the spectrum illuminates difficulties with sense of self, emotion processing, mental time travel, language and learning, providing a window into the nature and causes of autism itself.

This book is devoted to recursion in programming, the technique by which the solution to a problem is expressed partly in terms of the solution to a simpler version of the same problem. Ultimately the solution to the simplest version must be given explicitly. In functional programming, recursion has received its full due since it is quite often the only repetitive construct. However, the programming language used here is Pascal and the examples have been chosen accordingly. It makes an interesting contrast with the use of recursion in functional and logic programming. The early chapters consider simple linear recursion using examples such as finding the highest common factor of a pair of numbers, and processing linked lists. Subsequent chapters move up through binary recursion, with examples which include the Towers of Hanoi problem and symbolic differentiation, to general recursion. The book contains well over 100 examples.

James Adam's edition of The Republic of Plato was originally published in 1902 and has long been out of print; it still remains among the most detailed and valuable critical editions available. D. A. Rees, Fellow and Tutor of Jesus College, Oxford, wrote an introduction of 15,000 words for this more recent edition, which was first published in 1963. In it, he surveys Adam's work on The Republic and reviews subsequent work on the textual problems, language and meaning of the book. The text is divided into two volumes; Volume I, containing Books I–V, and Volume II, containing Books VI–X and Indexes.

This provocative book attempts to resolve traditional problems of identity over time. It seeks to answer such questions as 'How is it that an object can survive change?' and 'How much change can an object undergo without being destroyed'? To answer these questions Professor Heller presents a theory about the nature of physical objects and about the relationship between our language and the physical world. According to his theory, the only actually existing physical entities are what the author calls 'hunks', four-dimensional objects extending across time and space. This is a major contribution to ontological debate and will be essential reading for all philosophers concerned with metaphysics.

This book deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, algebraic topology and results in a new perspective on the properties of space and time. The authors firstly develop the mathematical background, then go on to discuss Yang-Mills fields and gravitational fields in classical language, and in the final part a number of field-theoretic problems are solved. Issued here for the first time in paperback, this self-contained volume should be of use to graduate mathematicians and physicists and research workers in theoretical physics, relativity, and cosmology.