"From the time of Pythagoras, we have been tempted to treat numbers as the ultimate or only truth. This book tells the history of that habit of thought. But more, it argues that the logic of counting sacrifices much of what makes us human, and that we have a responsibility to match the objects of our attention to the forms of knowledge that do them justice. Humans have extended the insights and methods of number and mathematics to more and more aspects of the world, even to their gods and their religions.Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity.But the rules of mathematics do not strictly apply to many things-from elementary particles to people-in the world.By subjecting such things to the laws of logic and mathematics, we gain some kinds of knowledge, but we also lose others. How do our choices about what parts of the world to subject to the logics of mathematics affect how we live and how we die?This question is rarely asked, but it is urgent, because the sciences built upon those laws now govern so much of our knowledge, from physics to psychology.Number and Knowledge sets out to ask it. In chapters proceeding chronologically from Ancient Greek philosophy and the rise of monotheistic religions to the emergence of modern physics and economics, the book traces how ideals, practices, and habits of thought formed over millennia have turned number into the foundation-stone of human claims to knowledge and certainty.But the book is also a philosophical and poetic exhortation to take responsibility for that history, for the knowledge it has produced, and for the many aspects of the world and of humanity that it ignores or endangers.To understand what can be counted and what can't is to embrace the ethics of purposeful knowing"--

The Cambridge Advanced Learner's Dictionary is the ideal dictionary for advanced EFL/ESL learners. Easy to use and with a great CD-ROM - the perfect learner's dictionary for exam success. First published as the Cambridge International Dictionary of English, this new edition has been completely updated and redesigned. - References to over 170,000 words, phrases and examples explained in clear and natural English - All the important new words that have come into the language (e.g. dirty bomb, lairy, 9/11, clickable) - Over 200 'Common Learner Error' notes, based on the Cambridge Learner Corpus from Cambridge ESOL exams Plus, on the CD-ROM: - SMART thesaurus - lets you find all the words with the same meaning - QUICKfind - automatically looks up words while you are working on-screen - SUPERwrite - tools for advanced writing, giving help with grammar and collocation - Hear and practise all the words.

This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

A full picture of English as used in 2001, this comprehensive guide to written and spoken English has been updated with a new words section and colour headwords.

A Grammar of Murui (Bue) by Katarzyna Wojtylak is the first complete description of Murui (Witoto, Huitoto) spoken in Colombia and Peru. It is an important contribution to the study of Witotoan languages and linguistic typology of Northwest Amazonia.

Real Grammar takes a fresh approach to English grammar. Real Grammar gives you freedom to communicate effectively in English with clarity and confidence.Traditional grammar books tell you what people say.Real Grammar explains why we say it.Learning why will allow you to truly understand English. You will discover the core concepts of English and gain a deeper understanding of how English works. Once you understand the simple connected core concepts of English, you can use them in a variety of situations to express a wide range of ideas. Real Grammar explores English grammar in a logical way, connecting what you learn with what you already know.Real Grammar features:- Simple explanations- Clear diagrams- Real life examples- Meaningful practiceReal Grammar as a teaching resource:As teachers, we want our students to use what they learn in class when they communicate in English. Knowing grammatical structures is one thing, but being able to use them in a natural way can prove challenging. The key is to get the student to understand why.This is done by:- Presenting grammar concepts clearly.- Comparing the new grammar concept to similar grammar concepts the student is already aware of. This helps the students understand the similarities and differences, developing their ability to apply grammar in a way that communicates their thoughts clearly.- Expanding into uses in other situations. We present other contexts that a part of speech is used in, guiding the student to reason, come to their own conclusions, and discover why.Real Grammar includes explanations and practice activities that can be taught as grammar lessons or can be easily integrated into other English classes.www.realgrammar.com

The bestselling workbook and grammar guide, revised and updated! Hailed as one of the best books around for teaching grammar, The Blue Book of Grammar and Punctuation includes easy-to-understand rules, abundant examples, dozens of reproducible quizzes, and pre- and post-tests to help teach grammar to middle and high schoolers, college students, ESL students, homeschoolers, and more. This concise, entertaining workbook makes learning English grammar and usage simple and fun. This updated 12th edition reflects the latest updates to English usage and grammar, and includes answers to all reproducible quizzes to facilitate self-assessment and learning. Clear and concise, with easy-to-follow explanations, offering "just the facts" on English grammar, punctuation, and usage Fully updated to reflect the latest rules, along with even more quizzes and pre- and post-tests to help teach grammar Ideal for students from seventh grade through adulthood in the US and abroad For anyone who wants to understand the major rules and subtle guidelines of English grammar and usage, The Blue Book of Grammar and Punctuation offers comprehensive, straightforward instruction.