This revised and expanded edition of a classic textbook provides a concise introduction to basic concepts of acoustics and digital speech processing that are important to linguists, phoneticians, and speech scientists. The second edition includes four new chapters that cover new experimental techniques in acoustic phonetics made possible by the use of computers. Assuming no background in physics or mathematics, Ladefoged explains concepts that must be understood in using modern laboratory ...

This popular and accessible introduction to phonetics has been fully updated for its third edition, and now includes an accompanying website with sound files, and expanded coverage of topics such as speech technology.Describes how languages use a variety of different sounds, many of them quite unlike any that occur in well-known languagesWritten by the late Peter Ladefoged, one of the world's leading phoneticians, with updates by renowned forensic linguist, Sandra F...

In "Some Remarks on Logical Form," Ludwig Wittgenstein revisits and substantially qualifies the austere picture of language developed in the Tractatus Logico-Philosophicus. The essay examines the relation between propositions, elementary propositions, and the structures of reality they represent, with particular attention to the difficulty of analyzing systems of color exclusion and other forms of incompatibility. Its compressed, argumentative prose retains the Tractatus's architectonic am...

Logic is the backbone of Western civilization, holding together its systems of philosophy, science and law. Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence ...

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method...

The Sounds of Language is an introductory guide to the linguistic study of speech sounds, which provides uniquely balanced coverage of both phonology and phonetics.Features exercises and problem sets, as well as supporting online resources at www.wiley.com/go/zsiga, including additional discussion questions and exercises, as well as links to further resources such as sound files, video files, and useful websitesCr...

This book provides a comprehensive account of the intentionality of perceptual experience. With special emphasis on vision Searle explains how the raw phenomenology of perception sets the content and the conditions of satisfaction of experience. The central question concerns the relation between the subjective conscious perceptual field and the objective perceptual field. Everything in the objective field is either perceived or can be perceived. Nothing in the subjective field is perceived...

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for t...

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of ...

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal fo...

This is the first detailed explanation of the way British Sign Language works and is the product of many years' experience of research and teaching sign linguistics to deaf and hearing people. It assumes no previous knowledge of linguistics or sign language, and is not structured around traditional headings such as phonology, morphology and syntax. Instead it is set out in such a way as to help learners and their teachers understand the linguistic principles behind the language. There are ...

What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925).Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing ho...