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Uncountable

Author: David Nirenberg

Publisher: University of Chicago Press

Published: 2024-05-09

Total Pages: 429

ISBN-13: 0226828360

Ranging from math to literature to philosophy, Uncountable explains how numbers triumphed as the basis of knowledge—and compromise our sense of humanity. Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, shaping our psychologies, sociologies, and economies. In pursuit of a more predictable and more controllable cosmos, we have extended mathematical insights and methods to more and more aspects of the world. Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity. Yet, in the process, are we losing sight of the human? When we apply mathematics so broadly, what do we gain and what do we lose, and at what risk to humanity? These are the questions that David and Ricardo L. Nirenberg ask in Uncountable, a provocative account of how numerical relations became the cornerstone of human claims to knowledge, truth, and certainty. There is a limit to these number-based claims, they argue, which they set out to explore. The Nirenbergs, father and son, bring together their backgrounds in math, history, literature, religion, and philosophy, interweaving scientific experiments with readings of poems, setting crises in mathematics alongside world wars, and putting medieval Muslim and Buddhist philosophers in conversation with Einstein, Schrödinger, and other giants of modern physics. The result is a powerful lesson in what counts as knowledge and its deepest implications for how we live our lives.

Cambridge Advanced Learner's Dictionary

Author: Kate Woodford

Publisher:

Published: 2003

Total Pages: 1550

ISBN-13: 9780521824231

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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.

Counting the Uncountable

Author: Bob Konikow

Publisher:

Published: 2016-12-08

Total Pages: 42

ISBN-13: 9781480835269

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Many students think math is boring, but that's only because we too often teach it in boring ways. You don't have to worry about that problem with this book, which is filled with colorful and fun illustrations and explanations about mathematical concepts that are often overlooked in the academic world. The book is just one in a series focusing on "The Lighter Side of Mathematics." In it, you'll learn concepts such as: - What it means when something is called "an infinite set;" - When it's correct to say "the part is less than the whole;" - What it means when something is "enumerable." The facts you'll learn provide depth and dimension to the classical study of mathematics and will ignite your curiosity factor about numbers--no matter how old or young you are. If you've always struggled to understand or enjoy math, then it's time to boost your confidence by looking at it in new ways. It begins with Counting the Uncountable.

Reading, Writing, and Proving

Author: Ulrich Daepp

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 391

ISBN-13: 0387215603

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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.

Longman Dictionary of Contemporary English

Author: Adam Gadsby

Publisher:

Published: 2001

Total Pages: 1668

ISBN-13: 9780582456419

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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.

The Real Jouissance of Uncountable Numbers

Author: Raul Moncayo

Publisher: Routledge

Published: 2018-04-17

Total Pages: 185

ISBN-13: 0429921993

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Lacan critiqued imaginary intuition for confusing direct perception with unconscious pre-conceptions about people and the world. The emphasis on description goes hand in hand with a rejection of theory and the science of the unconscious and a belief in the naive self-transparency of the world. At the same time, knowing in and of the Real requires a place beyond thinking, multi-valued forms of logic, mathematical equations, and different conceptions of causality, acausality, and chance. This book explores some of the mathematical problems raised by Lacan's use of numbers and the interconnection between mathematics and psychoanalytic ideas. Within any system, mathematical or otherwise, there are holes, or acausal cores and remainders of indecidability. It is this senseless point of non-knowledge that makes change, and the emergence of the new, possible within a system. This book differentiates between two types of void, and aligns them with the Lacanian concepts of a true and a false hole and the psychoanalytic theory of primary repression.

The Blue Book of Grammar and Punctuation

Author: Lester Kaufman

Publisher: John Wiley & Sons

Published: 2021-04-16

Total Pages: 272

ISBN-13: 1119652847

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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.

The Foundations of Analysis: A Straightforward Introduction

Author: K. G. Binmore

Publisher: Cambridge University Press

Published: 1981-03-26

Total Pages: 148

ISBN-13: 9780521233224

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In elementary introductions to mathematical analysis, the treatment of the logical and algebraic foundations of the subject is necessarily rather skeletal. This book attempts to flesh out the bones of such treatment by providing an informal but systematic account of the foundations of mathematical analysis written at an elementary level. This book is entirely self-contained but, as indicated above, it will be of most use to university or college students who are taking, or who have taken, an introductory course in analysis. Such a course will not automatically cover all the material dealt with in this book and so particular care has been taken to present the material in a manner which makes it suitable for self-study. In a particular, there are a large number of examples and exercises and, where necessary, hints to the solutions are provided. This style of presentation, of course, will also make the book useful for those studying the subject independently of taught course.

A Grammar of Murui (Bue)

Author: Katarzyna I. Wojtylak

Publisher: BRILL

Published: 2020-10-12

Total Pages: 613

ISBN-13: 9004432671

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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.

Growing Ideas of Number

Author: John N. Crossley

Publisher: Aust Council for Ed Research

Published: 2007

Total Pages: 122

ISBN-13: 0864317093

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This book explores the notion of how number ideas, and ideas of number, have grown from ancient to modern times throughout history. It looks at how different types of number and views of numbers (and their meaning and applications) have varied across cutures over time, and combines historical consideration with the mathematics. The book illustrates some of the real problems and subtleties of number, including counting, calculation, measuring and using machines, which ancient and modern people have grappled with - and continue to do so today.