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Roads to Infinity: The Mathematics of Truth and Proof

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Review

"The text is nicely presented, with many illuminating and/or entertaining quotes and diagrams. … The wide scope of the work and the way that the author manages to show the connections between the different topics are the main strength of the book, making it a good place to start if you have some interest in logic, set theory, or just challenging ideas in general."―Yann Peresse, London Mathematical Society Newsletter, June 2013 "The book follows essentially two roads to infinity: Cantor’s diagonal argument and Cantor’s construction of the ordinals. Stillwell shows how these two themes intertwine and influence a wide range of mathematical questions … The scope of this book is breathtaking, but Stillwell has masterfully presented and developed a wide range of mathematics as a coherent narrative. … He is able to pack a lot of information and ideas into a few well-chosen paragraphs without sacrificing clarity. Stillwell is an accomplished historian of mathematics who doesn’t limit himself to the work of the well-known. I appreciated the appearance of some of the lesser known contributors to the study of the infinite. … It is well-conceived and well-written, and covers a large amount of material on logic, transfinite set theory, provability, combinatorics, and the histories of these fields."―James V. Rauff, Mathematics and Computer Education, Winter 2012 "Stillwell is a master expositor and does a very good job explaining and weaving together many core issues in mathematical logic and foundational studies. … Stillwell’s book is highly commendable, very informative and well organized. It is very carefully produced."―José Ferreirós, American Mathematical Monthly, February 2012 "I highly recommend it for undergraduates in mathematics and other young mathematicians who are looking for historical context or a different angle to their studies. Readers who have experience with theoretical analysis or a foundation in abstract mathematics will find the examples wonderfully illustrative. For these readers, Stillwell’s words will flow smoothly, almost like a novel."―Joyance Meechai, Mathematics Teacher, October 2011 "Stillwell has produced an excellent book on infinity for the motivated lay reader. … The author does a masterful job of painting a historical portrait of logic, set theory, incompleteness, computable functions, and many associated foundational questions. His lively style and clear exposition of the relationship between proof and truth will engage both the novice and the expert. Although there are numerous books on the topic of infinity, Stillwell tells a story which motivates the ideas he introduces. This is a book that anyone with an interest in mathematics should have in their library. Highly recommended."―R.L. Pour, CHOICE, March 2011 "This book is an accessible, but also a scholarly and extremely well-written introduction to the great ideas of modern logic. While the central results are the famed proofs of Gödel, Stillwell does a masterful job of relating that work not only to Gödel’s contemporaries, such as Post, Turing, Church, Tarski, Gentzen, and von Neumann, but also to modern researchers in the foundations of mathematics (Friedman, Woodin, and others). Chapter 6 on natural unprovable sentences is a gem … Stillwell’s book is worthwhile reading for anyone interested in the development of mathematical logic in the 20th century and learning about the possible directions of the field in the 21st."―Stan Wagon, The College Mathematics Journal, March 2011 "In 1963, Edwin E. Moise published Elementary Geometry from an Advanced Standpoint and his book became a classic. … [this book] deserves the same outcome. … One of the most enjoyable features is Stillwell’s use of techniques of logic and set theory to solve real mathematical problems … Another enjoyable feature is Stillwell’s uniform coverage of unprovability, undecidability and non-computability … suitable for self-study … it is excellent background material for computer scientists and mathematicians in other fields. The historical notes alone are worth perusing by anyone who is interested in the development of mathematical ideas."―Phill Schultz, Gazette of the Australian Mathematical Society, March 2011 "… a clear and succinct guide. … One interesting feature of the book is the careful treatment of two of the less famous contributors in this area―Emil Post and Gerhard Gentzen …"―CMS Notes, Vol. 43, No. 1, February 2011 "… excellent book … the investment the reader makes―be he an intellectually curious adult or a math grad student with extra time on her hands―pays off with an increased understanding of the fascinating world of mathematical logic. The author’s thorough, well-researched historical comments are particularly valuable, as well as the philosophical quotations from the important players in this game. There is a very complete bibliography. What the reader might appreciate most is the ability of the author to share his deep insights into what is important and what it all means in the most profound sense. … it is clear that the book received excellent proofreading before publication. …"―Mathematical Reviews, Issue 2011f "This is an interesting book on infinity. The author combines set theory and logic to face the most basic and fruitful aspects of infinity."―Claudi Alsina, Zentralblatt MATH 1196 "Featuring chapters dedicated to the diagonal argument, ordinals, computability and proof, logic, arithmetic, natural unprovable sentences, and axioms, as well as being enhanced with the inclusion of a lengthy bibliography and a comprehensive index, Roads to Infinity: The Mathematics of Truth and Proof is highly recommended reading for students, scholars, and non-specialist general readers with an interest in the history and contemporary issues of mathematics today."―Able Greenspan, Midwest Book Review "I love reading anything by John Stillwell. If you've ever been tantalized by the puzzles of infinity, set theory, and logic, and want to understand what's really going on, this is the book for you. It's an exceptionally fine piece of mathematical exposition."―Steven Strogatz, Cornell University, author of The Calculus of Friendship 

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About the Author

John Stillwell was born in Melbourne, Australia in 1942 and educated at Melbourne High School, the University of Melbourne (M.Sc. 1965), and MIT (Ph.D. 1970). From 1970 to 2001 he taught at Monash University in Melbourne, and since 2002 he has been Professor of Mathematics at the University of San Francisco. He has been an invited speaker at several international conferences, including the International Congress of Mathematicians in Zurich 1994. His works cover a wide spectrum of mathematics, from translations of classics by Dirichlet, Dedekind, Poincare, and Dehn to books on algebra, geometry, topology, number theory, and their history. For his expository writing he was awarded the Chauvenet Prize of the Mathematical Association of America in 2005, and the AJCU National Book Award in 2009. Recent titles by Stillwell include Yearning for the Impossible, Mathematics and Its History, The Four Pillars of Geometry, and Geometry of Surfaces.

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Product details

Hardcover: 250 pages

Publisher: A K Peters/CRC Press; 1 edition (July 13, 2010)

Language: English

ISBN-10: 1568814666

ISBN-13: 978-1568814667

Product Dimensions:

6.2 x 0.8 x 9.2 inches

Shipping Weight: 1 pounds (View shipping rates and policies)

Average Customer Review:

4.5 out of 5 stars

11 customer reviews

Amazon Best Sellers Rank:

#685,041 in Books (See Top 100 in Books)

John Stillwell's "Roads to Infinity" sounds like another "Gödel's theorem" book. Yes, it mentions it and gets into Gödel's famous theorems, a little bit. But, he just finds a simple alternative; he doesn't mention Gödel numbering. I've been through say Nagel's "Gödel's Proof." But, even then, I don't recall all this stuff about ordinals. John Stillwell shows George Cantor's genius a lot more by showing the Fourier analyses roots of his ideas and George Cantor's ordinal numbers work. This is just a start of what you can get from here, if you're not a phd logician/mathematician.If you think George Cantor's transfinite numbers is mindblowing, his work on ordinals to analyse infinit cardinal numbers is . . . it shows how one can analyse infinity far more than most people could ever dream.I'd like to say, that as usual, in John Stillwell's works, he always finds some modern easier short proof of results; otherwise, he references off. He gives examples when he can find easy examples, and just mentions hard problems(mostly in chapter supplements where they belong).In John Stillwell's other works, he loves to point out the induction definitions of arithmetic; in this book, he gives a lot more reason to take those seriously!Historically, one of the major reasons for proof was the inability to deal with infinity. Here, John Stillwell shows the affect infinity has had on proof. I think logical proof has proven to be more than we thought through the ages, so I don't think one should consider syllogisms discredited by modern studies of infinity and proof. But, I do like the recent results of the interplay between finite and infinit. And John's book . . . well, I don't think he does more than introduce one to these things.In Oyestein Ore's "Number theory and its History", he gets into some number theory, some diophanine analyses, where he shows some lead to infinity and some are finite. This has always suggested to me that determining when things are finite and when they are infinity, when they are compact or not seems to be an interesting question in mathematics(I can't say that I totally know lie theory; but, I have done some look ahead and found that some of the majory lie theory work of the twentieth century anyways has to do with compact and non-compact geometry). And so, the mathematics of the interplay between the finit and infinit at least excited me.

Whoa... I mean this is the kind of book that is so significant and intellect changing that you simply MUST read it, but.......and this is a big but, read slowly, take your time, and absorb. Utterly mind stretching..........I LOVED IT! Will be reading this many times......

I bought this book out of interest since it had very good reviews from other readers. I was not disappointing as the book is very well written, informative, and interesting. The introductory chapters on the concept of infinity provide very clear explanations of the problems associated with defining what is the limit of very large numbers. This book I would highly recommend to anybody who wanted to read a non-technical account of the issues around infinity and to come away with a sound understanding of the what the term means.

This is an excellent introduction to how logic and modern set theory affect modern mathematics. Delves into Cantor's theory of transfinite numbers. Also examines work of Kurt Godel, Emil Post , and Gerhard Gentzen. Not too technical. Very readable.

Clear and very concise. Stillwell did a masterful job on this review of the mathematics of different infinities.The book is both content rich and also easy to understand.

The book's writing sometimes seemed vague and confusing. That said, it did have interesting content.

[The other "MidWest Book Review" seems to miss the main point of the book and doesn't do justice to it.]This book is not original research, but is still a great book because it opened my eyes to some very important maths about logic that I've overlooked. As the title says, it's about truth and proof. It surprised me that the "strength" of proof systems is somehow related to transfinite numbers.Chapter 1: Aleph_0 is the cardinality of the integers. 2^Aleph_0 is the cardinality of the continuum (ie, the real line). By Cantor's diagonal argument we know there is no 1-1 correspondence between the integers and the reals.Chapter 2: Cantor's theory of infinite ordinals. We can count from 1,2,3,... to infinity, and BEYOND that, is the first transfinite ordinal, that Cantor denotes as omega. Then we can carry on counting with omega + 1, omega + 2, omega +3, ..., to omega * 2. This process goes on to omega * 3, omega * 4, ..., and to omega^2, omega^3, ..., omega^omega, omega^omega^omega, ..., and eventually to omega raised to omega an infinite number of times, but it still doesn't end. The next ordinal is epsilon_0, and these countable ordinals go "inconceivably far beyond" epsilon_0. This results in Aleph_1, the first UNCOUNTABLE ordinal, and it still doesn't end!The continuum hypothesis asks whether 2^Aleph_0 = Aleph_1. It is still unsolved, but Cohen believes that it is highly unlikely to be true. Godel proved that CH is consistent with standard Zermelo-Frankel set theory. Cohen (the inventor of "forcing") proved that it cannot be proved in ZF.All this is explained very clearly in the book; my summary is lousy. John Stillwell's writing style is very engaging, he knows the subject thoroughly and is able to explain every detail with exceptional clarity.Chapter 3: About Emil Post's efforts to search for a formulation of all formal systems. He saw that unprovability is a simple consequence of the diagonal argument; this predated Godel's incompleteness theorems, but he didn't publish because the Church-Turing thesis was not yet established at that time (so he wasn't sure if his normal form is universal; Later it turned out to be, of course, Turing-equivalent).Chapter 4: An introduction to logic and deduction, via Gentzen's sequent calculus. I mainly skimmed this chapter. Cut elimination is introduced here.Chapter 5: This chapter is very crucial. It starts with the Peano axioms for arithmetic (PA). We can assign a countable ordinal to each vertex of the proof tree. Thus, a proof system's "strength" can be measured by what kind of induction it allows. Gentzen 1943 proved that induction up to any ordinal less than epsilon_0 can be proved in PA. However, there exists "real" theorems whose proof lies beyond epsilon_0 induction. Some examples are given next...Chapter 6: "Natural Unprovable Theorems". Eg: the Paris-Harrington theorem in Ramsey theory and the Tao-Green theorem in number theory.Chapter 7: About "Axioms of Infinity" that can be added to ZF so it can deal with infinities. [I haven't read this chapter yet, maybe later. Hope this review helps you so far!]

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Ebook Free The Story of Kwanzaa (Trophy Picture Books (Paperback)), by Donna L. Washington

Ebook Free The Story of Kwanzaa (Trophy Picture Books (Paperback)), by Donna L. Washington

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The Story of Kwanzaa (Trophy Picture Books (Paperback)), by Donna L. Washington

Ebook Free The Story of Kwanzaa (Trophy Picture Books (Paperback)), by Donna L. Washington

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From the Back Cover

It’s Kwanzaa-time! Light the candles on the kinara! Fly the bendera, and tell stories from Africa! The festival of Kwanzaa was originated by Dr. Maulana Karenga to honor the customs and history of African Americans. The seven principles of Kwanzaa, called the Nguzo Saba, serve to remind African Americans of the struggles of the past, and also focus on present-day achievements and goals for the future. Activities at the end of the book include making your own cow-tail switch and baking benne cakes.

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About the Author

Donna L. Washington is a professional storyteller, multiple-award-winning recording artist, and author. She performs all over the country at festivals, schools, and libraries and gives workshops for parents and educators as well. Her many storytelling recordings have received Gold and Silver Parents' Choice Awards, Storytelling World Awards, iParenting Awards, Children's Music Web Awards, National Parenting Publications Awards Honors, and many more. Ms. Washington lives with her husband, two children, and two cats in Durham, North Carolina.

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Product details

Age Range: 4 - 8 years

Grade Level: 1 - 5

Lexile Measure: 720L (What's this?)

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Series: Trophy Picture Books (Paperback)

Paperback: 40 pages

Publisher: Collins; Reprint edition (September 20, 1997)

Language: English

ISBN-10: 0064462005

ISBN-13: 978-0064462006

Product Dimensions:

8 x 0.1 x 8 inches

Shipping Weight: 4.8 ounces (View shipping rates and policies)

Average Customer Review:

4.6 out of 5 stars

10 customer reviews

Amazon Best Sellers Rank:

#758,940 in Books (See Top 100 in Books)

The books begins by providing a very general history of Africa. However, some of the claims that are made I do not think are true, such as the Brer Rabbits stories were about slaves and their slave owners. Having read a book of Brer Rabbits tales, I think that the slave that Joel Chandler Harris interviewed for the Brer Rabbit books was retelling stories that originated from Africa. But, I like the illustrations in the book, each one of them could be a story by itself. Moreover, the real value of this piece of the literature is the last two-thirds of the book, where the seven days of Kwanzaa are explained and reference materials for Kwanzaa is given.

Donna Washington is a wonderful storyteller, and the illustrations in this book do the story justice as well. This is a great addition to any school or family library collection as it explains the tradition of Kwanzaa in an accessible and appealing way.

Part of a presentation to 2nd graders for the holidays along with books about Hanukkah and Kquanzaa.

Just the right amount of info for young minds. Simple but thorough explanations and instructions introduced my daughter to this holiday much better than I could. She wants to do something different each year. So, this book has lasting value.

I bought this book for my two daughters (7 and 4). Both girls loved the book and I appreciated that they were learning something at the same time.

GOOD READ

The book was very informative, but I only ended up reading a sentence or two from a few pages to my Kindergarten class. The illustrations are nice from an adult perspective but boring for the students. I wouldn't recommend this as a read-aloud for an elementary class. I feel misled by the title and the cover illustrations; it isn't really a "story" and it isn't really for children.

We think teaching our children about cultural diversity is a must so we bought this book and it is Wonderful . It has little how tos and reciepies that were great for us as a family becouse we had no idea how to help her celebrate this holiday . Now on the first night of Kwanzaa we have a traditional dinner and the kids make cow tail switches to help bring the story to life

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Download PDF Mamarazzi: Every Mom's Guide to Photographing Kids, by Stacy Wasmuth

Download PDF Mamarazzi: Every Mom's Guide to Photographing Kids, by Stacy Wasmuth

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Mamarazzi: Every Mom's Guide to Photographing Kids, by Stacy Wasmuth

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From the Back Cover

Mamarazzi [mah-muh-raht-tsee] (noun, plural): Mothers who doggedly pursue opportunities to take, share and display photographs of their children If you just can't put the camera down when the kids are around, you're a card-carrying member of the mamarazzi. Chronicling childhood in photos is meaningful, fun—and sometimes, frustrating enough to make you turn to cupcakes for comfort. How do professional photographers do it? One of them tells you in this book. Here are professional secrets for getting great photos of kids — pictures that not only capture childhood's magical moments, but also the singular nature of your child's personality. Charge up your camera battery and start reading! What every mom with a camera should know Techniques for capturing genuine expressions instead of cheesy smiles Tips for every age and stage — yes, even toddlers and teens! Photography basics — composition, lighting, exposure, focus, and white balance Camera settings and lenses, plus techniques you can use with any type of camera Why the experience matters more than the perfect shot Effects you can create with different lighting techniques How to pick ideal locations for taking pictures Simple editing tips to make your photos even better

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About the Author

Stacy Wasmuth is a professional photographer and a mamarazzo who freely admits that photographing her own children may be her most challenging assignment. Stacy's client list includes celebrities as well as many not quite famous, but equally fabulous families and children. View her work at bluecandyphotography.com.

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Product details

Paperback: 288 pages

Publisher: Wiley; 1 edition (April 26, 2011)

Language: English

ISBN-10: 9780470769102

ISBN-13: 978-0470769102

ASIN: 0470769106

Product Dimensions:

7.4 x 0.9 x 9.1 inches

Shipping Weight: 1.7 pounds (View shipping rates and policies)

Average Customer Review:

4.4 out of 5 stars

46 customer reviews

Amazon Best Sellers Rank:

#434,355 in Books (See Top 100 in Books)

There is so much to say about this book. I was encouraged by the positive reviews and was looking for a book that honed my beginner skills so that I could take better pictures of my beautiful newborn daughter.This book was just what I was looking for and is a cut above the rest of the other childrens' photography books I have read.Pros:* I like that Wasmuth talks *to* you, not down to you. She presents ideas and insight for pictures that anyone can take. She gives realistic advice for those who can't afford all the bells and whistles (and even those that can) and focuses on the actuality of how to get the best shot while still having fun. In fact, she empahasizes the point of having fun when you take photos. Even better, the book is not full of highly technical verbage. The book is easy to read and follow. I actually read it cover to cover because it was so well written and concise. The language is written as if you were having a conversation with a friend, which makes this book ideal for those of us mommies (or daddies) without a lot of time!* The book is organized thoughtfully and thoroughly. Each section is separated into specific sections to give you help with lighting and composition, and she makes each chapter easy to understand and follow. The pictures in each section are colorful and bright and diverse--they are not just the same boring shot over and over again used to demonstrate a shot. Each picture is like its own story and this adds to the overall value of the book. You will be referring to the ideas over and over again.* She gives examples on where to place subjects, where to take shots, what time of day, the kind of light that best captures the subjects, the importance of the rule of thirds, how to capture the spirit of a person versus just getting a "good shot" etc. This is the heart of what makes this book so awesome. It is an invaluable asset to beginners who want to go out and capture some great shots, but don't want to have to dig through a giant manual and minimalistic explanations.She demonstrates how to set the scene, how to avoid common mistakes, and presents beautiful pictures that boldly demonstrate her points. I've had several "aha" moments while reading this book.Cons:* I don't feel this book would benefit experienced photographers as much--but realistically, I don't forsee a professional, semi-professional, or even someone who knows a ton about photography would seek out a book like this to begin with.This is one of the best photography books I have read in a long time. The information is helpful, insightful, and provides tips and tricks to capturing the heart of your subjects. I definitely recommend this book to everyone as a great book or even a gift.

i sat down and read this book from cover to cover the minute it arrived (lucky nap timing)the book is very well written in a style that is relaxed and easy to understand even if you're camera illiterate. i've tried to read so many "how to take better photographs" books only to have my eyes cross but this was so easy to understand.i only wish i'd ordered this book earlier - to think, all of the photos i've been taking of my little baby for the past 3+months could have been so much better!i've had the fancy camera, lenses, and a bunch of gadgets and gizmos and now i finally know how to use them to get the photos i was dreaming of!i highly recommend this book for anyone wanting to capture those moments when you wish that a professional photographer was following you and your baby/kid around. even at the $16 price point it's a little more than i would expect to spend for a book that can be read through so quickly but it was well worth the price to finally make use of all the money i spent on camera accessories. it'll make a great reference manual each time i forget whether i need to change the aperature, shutter speed, or ISO to make that photo look better.

This was definitely such a fun book to look through! I am a professional photographer and lifestyle blogger ( at comesincolours.blogspot.com ) so I didn't really feel like I got a whole lot technically out of this book. I realized that going into it and wanted this book more as wonderful inspiration and it certainly fulfilled its purpose! I would highly recommend this book to moms and / or bloggers who are looking to better their photography. This book is full of excellent tips and wonderful photography to ooh and ahh over! I love that the photography in this book is trendy and up to date! It can be so hard to find books like this in stores or at the library!

As the child and family photographer behind janeenkelley.com photography, I can honestly say that I've bought EVERY child photography book out there. Like many women, my passive interest in photography sky-rocketed with the birth of my first child, so many of these books were purchased with the sole intent of taking the best photos possible of my little monkey. Of these, I can't say one or two didn't dole out a decent piece of advice here or there, but the information was mostly topical, discussing subjects like filling the frame and using the rule of thirds. For the most part, I felt that I'd paid $18-$25 for a book of information I could have gotten for free on the internet (albiet, with a little digging). Overall, I was left uninspired. Then I found this book! And while I admit I purchased it more out of professional curiosity, I can say that being pleasently suprised doesn't quite sum up how impressive this book is, all the way around.Of all the books streaming along the bottom of this page in the 'similar items' category, this is the book you should buy. Why? For one it's literally PACKED with information--nearly 300 pages worth-- is rich with beautiful, inspiring, full color photos, and shares the camera settings and best ways to acheive what you see on the page. The book contains enough information that a more experienced photographer will find useful, but does so in a way that doesn't intimidate the newbie, which is a major plus. It also gives a fresh and modern take on what's happeneing in the photography world right now.As photography does follow it's trends, I've found the many of the other books used images that many would consider 'dated' and generally old fashioned in feel (and not in the cool vintage-y way) which contributed to my overall feeling of being bamboozled. But don't be misled into thinking this book is simply trend either. Rather, imagine the analogy of stainless steel to kitchen appliances. Sure it's hot right now, but it will also never really go out of style either! The ideas are classic and fresh and totally inspire you to go out and shoot, believing that your photos can capture the same magic and wonder. As a side note, I was also suprised and super excited to find that throughout the book we're treated to tips and tricks from well known and respected photographers in the field. How cool to browse through the pages and find brief interviews with photographers whose work I've been following on blogs for years now! Overall, this book is inspiring and fun and a must read for every mom (even if it does wind up putting me out of business)!

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Language Notes

Text: English (translation) Original Language: Chinese

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From the Back Cover

In this excellent English translation of The Analects, or Sayings, of Confucius, readers will find a rich distillation of the timeless precepts of one of history's most influential teachers and social theorists. A Chinese philosopher who lived c. 551 to c. 479 B.C., Confucius originated and taught an ethical, socially oriented philosophy that stressed proper behavior and a sympathetic, mutually supportive attitude among individuals, their families and society.From his teachings came a system of ethics for managing society that has influenced generations of politicians, social reformers, and religious thinkers. Indeed, the effect of Confucian philosophy has been so profound that it has become basic not only to an understanding of traditional Chinese civilization, but of Western society as well. Now the essence of Confucian teaching, contained in The Analects, is available in this inexpensive volume, providing inspirational and instructive reading to anyone interested in the history of social thought, Chinese philosophy, or theories of ethical behavior.

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Series: Dover Thrift Editions

Paperback: 144 pages

Publisher: Dover Publications; Unabridged edition (April 12, 1995)

Language: English

ISBN-10: 9780486284842

ISBN-13: 978-0486284842

ASIN: 0486284840

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5.2 x 0.5 x 8.2 inches

Shipping Weight: 4 ounces (View shipping rates and policies)

Average Customer Review:

4.2 out of 5 stars

213 customer reviews

Amazon Best Sellers Rank:

#504,359 in Books (See Top 100 in Books)

Analects, in case you were wondering, are "selected passages from the writings of an author.” I mention this definition here because it seems that the only time we use the term “analects” is when we consider the writings of Confucius. Was there once a larger corpus of writings from Confucius, and is what we have today distilled from some larger body of work? If so, then I wish we had that entire larger body of philosophical work, the same way we have a good many books from classical Greek philosophers like Plato and Aristotle; but that being said, I certainly am glad that we have the Analects as a distillation of Confucius’ philosophy.His Chinese name was K’ung Fu-tzu, 孔夫子, and the Latinate name that he bears today was probably bestowed by Jesuit missionaries to China in the 16th century. By any name, however, Confucius is a great philosopher who speaks to us today just as clearly as he spoke to the people of Chinese antiquity. He lived a long time ago – when he died in 479 B.C., the Spartan defense of Thermopylae had taken place just one year before – but it is astonishing how current and relevant his words and ideas remain.“Analects” is, of course, a Latin- and Greek-derived term; in Chinese, the book is 論語,the "Lun Yü." It is divided into 20 books, and contains a total of 512 Confucian sayings, most of them quite short. On this re-reading of "The Analects," I encountered some sayings that were already familiar to me: e.g., “To say you know when you know, and to say you do not when you do not, that is knowledge” (II.17, p. 65). Yet on this reading, I learned many things that I found new.Perhaps because I’ve been reading a good deal of classical Greek philosophy lately, I found some striking parallels between Confucius and the Greeks who wrote sometime after him. For instance, when “The Master said, ‘Barbarian tribes with their rulers are inferior to Chinese states without them’” (III.5, p. 67), it made me think of how the ancient Greeks considered any non-Greek-speaking society to be βάρβαροι, barbaroi, barbarians. I found myself thinking of the doomed tragic heroes of ancient Greek drama, men and women brought down by their tragic flaws, when I heard Confucius reflect that “In his errors a man is true to type. Observe the errors and you will know the man” (IV.7, p. 73).Confucius knows that his disciples aspire to government service in the bureaucracy of the Empire – hence the prevalence of sayings in which Columbus offers advice such as, “Do not worry because you have no official position. Worry about your qualifications. Do not worry because no one appreciates your abilities. Seek to be worthy of appreciation” (IV.14, p. 74),Additionally, in an acutely status-conscious society, Confucius’ listeners are very interested in what will help them achieve the distinction of “gentleman.” With considerable focus on the value of benevolence, Confucius suggests that “The gentleman understands what is moral. The small man understands what is profitable” (IV.16, p. 74). And in one of my favorite passages from the Analects, Confucius remarks that “the gentleman hates to dwell downstream for it is there that all that is sordid in the Empire finds its way” (XIX.20, p. 155).Readers who are interested in the Judeo-Christian philosophical and moral tradition may be struck by the ways in which Confucius disagrees with one of the primary moral imperatives of Christianity. In contrast with Lao Tzu, who in the "Tao Te Ching" tells his disciples to “do good to him who has done you an injury”, Confucius says, “What, then, do you repay a good turn with? You repay an injury with straightness, but you repay a good turn with a good turn” (XIV.34, p. 129). In other words, the only thing you owe to someone who has wronged you is straightness, directness, honesty. For Western readers, many of whom have been raised in the tradition of “whosoever shall smite thee on thy right cheek, turn to him the other also” (Matthew 5:39), this may be the most challenging passage in the entire "Analects."At the same time, Confucianism invokes the Golden Rule in a way similar to all the other great moral, philosophical, and religious systems of the world. In response to a disciple’s asking, “Is there a single word which can be a guide to conduct throughout one’s life?”, Confucius replies, “Do not impose on others what you yourself do not desire” (XV.24, p. 135).Perhaps because it is the dawn of a presidential election year here in the United States of America, I found that I was particularly interested in one particular example of Confucius’ advice to his disciples: “Be sure to go carefully into the case of the man who is disliked by the multitude. Be sure to go carefully into the case of the man who is liked by the multitude” (XV.28, p. 136). Good advice in the state of Lu during the Zhou dynasty, and good advice in any modern nation nowadays.I had this edition of "The Analects" with me when my wife and I were traveling in Beijing, home of the second largest Confucian temple in the world. Walking in the Forbidden City, my copy of "The Analects" in my jacket pocket, I wondered how many readers, imperial or otherwise, referred to their own copy of this book while traveling between and among the buildings of this most impressive city-within-a-city.This edition of "The Analects" includes a glossary of names and places mentioned in the book, an appendix on events in the life of Confucius, a textual history of the book, and a chronology of Confucius’ life. Particularly helpful is another appendix, one that describes the characters of the different disciples with whom Confucius speaks in the Analects. For readers of Confucius’ time, and indeed for followers of Confucianism nowadays, the differences in character among disciples like Tzu-kung, Tzu-lu, and Yen Yüan would be as self-evident as the differences in personality that Christians see among Saint Peter, Saint John, and Saint Thomas in the New Testament. This Penguin Books edition of Confucius’ "Analects" is a very fine way to acquaint, or reacquaint, oneself with one of the most important books ever written.

I own the Oxford World's Classics edition translated by Raymond Dawson.This was my first reading of 'The Analects' and while it was not quite what I expected, as it does not contain a truly coherent philosophy or even a consistent mode of presentation or authorship, it was nevertheless an incredibly rewarding study. And I say study rather than read because while it is quite brief (82 pages) there are a wealth of "chapters" that will leave you pondering--in a good way! If you are worried about the stereotype of vaguess and aloofness in Chinese sages, you needn't fear 'The Analects'. The main thing that can obscure some of the "chapters" is their reliance on Chinese history and most of these are briefly cleared up in Dawon's notes. 'The Analects' can be picked up and put down at a whim due to the informal structure and you will never feel that you lost the flow of it should a few days pass between readings.While I can't compare it to another translation or the Chinese, I found Dawson's translation to be very smooth and highly consistent throughout, and he supplements the introduction with helpful notes on his translation of key terms. This is an edition primarily for the newcomer rather than the scholar (not to say it is in anyway "dumbed down") as it is wonderfully concise in its introduction and notes, never saying more than needs to be said. However, in my case, I certainly wouldn't have minded more scholarship and context. Dawson uses Pinyin rather than Wade-Giles, which is a welcome shift in my eyes, as Wade-Giles often feels overwrought even if it sometimes comes closer to the true pronunciation, and there is a nifty conversion chart included in this edition.This edition like all of the newer Oxford World's Classics is neatly designed with a beautiful cover and good quality paper.

Confucius - The Analects is a rather intriguing book since it aims to tackle information regarding the well known Confucius in a cogent manner.The book is laid out in a fairly straight forward approach with no frills that's an extremely quick read.Within the introductory section, there is some background material featured, while a tad later on the book features notes on particular translations that the book offers. Knowing how complex translations can be, it's a well-thought out approach to delineate what the book means by each translated term, instead of assuming that the reader will know. Not only that, but also, certain words have various meanings, so to be able to narrow down with precision what was stated is greatly appreciated.For individuals seeking veritable gems of Confucius, this book has dozens of them.Reading this book will certainly help the individual realize how the culture was at the time, and why the information presented here was so vital to the upbringing and society in ancient China.The totality of the book is seamlessly interwoven to give you everything you need for comprehension, while not an iota more. This certainly helps since other books can be longwinded at times.Taking all into account the book definitely belongs in the libraries of individuals who value such knowledge with resounding depth. Confucius was definitely a master of his craft, and this book exemplifies that quite trenchantly.

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Publication Date: March 15, 2016

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Peggy once again delivers a wonderful tale of life in the 19th century west. Cora is a prideful, head-strong, independent woman who has the weight of the world on her shoulders as she tries to move her sisters and brother to Oregon in order to start a new life, only to be denied by the wagon master due to the fact that she is single. What is a woman to do? Well, get married of course! But that does not quite work out the way she planned. Nathaniel is a handsome, adventurous, determined woodsman just trying to get home to his family, alive and take back his horse and supplies from the Indians who are trying to kill him!! When these two run into each other not only do sparks fly but also a bullet or two! Can Nathaniel calm Cora's pride and teach her how to trust and depend on another person and can Nathaniel learn what it takes to earn the respect of a woman? You will find out as soon at you start reading this wonderful book!What a great way to start a new series! I am excited to see how the Cora's sister and brother adapt to their new lives and how Nate's brothers adapt to their new family, complete with 4 females and a little boy who only wants to learn how to become a man!Peggy does not disappoint with the way she weaves her story in helping the reader feel like they are part of the story and not just reading a story. For those who have read Peggy's other books, you will enjoy a few surprises in Cora's Pride too.

Oh what a pleasure it was, to curl up and read this first book to a brand new series by my favorite author. I just love our hero Nathaniel and heroine, Cora. I love their personalities and along with all the interesting characters that were introduced in this first book, this is going to be a very entertaining series. I feel as though I know each of the characters already and I love each one. All different but with a story to be told and I can't wait until I can read each one. This book is filled with the beautiful descriptions of the surrounding area as the adventure, suspense and romance takes place from the Oregon Trail to the beautiful Teton mountains. I loved the little surprises the author has given us, she loves to put those extra little touches in her books that make her readers so happy. Never disappointed in a Peggy L Henderson's book, I'm always left feeling happy and contented. Anna's book can't come too soon! Very mild and sweet intimate scene. JudyE

Another great read from Peggy. Cora and her determination to do what she sees as her duty regardless of what impediments crop up is both admirable and irritating. Admire her for her desire to protect her family or knock her up the side of her head for her tunnel vision? And wonder how you would cope if you were in her shoes?Nathanial is too good to be true with enough imp to be human and make you wish there really were men like him, or at least the possibility that there are. His determination to protect Cora, while fighting with her over the privilege and right to do so, is heart grabbling.Although Cora and her siblings and a friend set out for Oregon story is set on very small section of the Oregon Trail amidst the Teton Mountains in an area that sounds like the ideal place to settle, snow capped mountains, green valleys, rivers and wide open spaces.

I loved Cora and the spirit that she had. Trying to undertake this journey along the Oregon trail with 3 younger girls and a boy. The men in her life had let her down and she was determined to make it in her own. Enter Nathaniel, who is just as determined to protect her and make sure she isn't hurt again. So much adventure in this story! Ilove how Cora and Nathaniel go up against each other, their determination, their sense of humour. The way they come to realize the love between them. I highly recommend this book and can't wait for the rest of the series! I hate closing the book and having the journey over!

An adventure on the Oregon Trail that captures the spirit of the people traveling to find a safe new home for the security of their loved ones. Includes depictions of everyday life and peoples emotions. Independent and strong women and men who discover that life's adventures are easier to cope with when you work together. Families and friends are worth the struggle and love finds its way into hearts when least expected. A wonderful reading adventure!

Never trust a man! Cora has had enough experiences with losers, low life's, and liars. She knows she has what it takes to get her family to Oregon. Or does she?Nathaniel just wants to get his supplies back and save his scalp from the Crow. His brothers are waiting, but he can't leave women alone in the wild. Especially one as ornery and pretty as Cora.This story of survival will make you laugh, make you cry, and restore your belief that there's always good men to be found if you can only find one. Loved it!

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File Size: 833 KB

Print Length: 292 pages

Publisher: Bethany House Publishers; Repack edition (September 1, 2005)

Publication Date: September 1, 2005

Sold by: Amazon Digital Services LLC

Language: English

ASIN: B002GEKJ5O

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Word Wise: Enabled

Lending: Not Enabled

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Amazon Best Sellers Rank:

#288,199 Paid in Kindle Store (See Top 100 Paid in Kindle Store)

Good book - thoroughly enjoyed reading the series. I have always enjoyed Tracie Peterson books - In most of her books you get a little romance, drama, suspense, comedy, and happiness all wrapped up in one story. Her books always keep me engaged - sometimes too much that I stay up too late reading.

Wow, Tracie Peterson has taken two of her characters from book #1 and not only developed an endearing, but at times, frustrating love story she gives us mystery! It just can't get any better than this when you can sit down and get entangled with history, religion, romance, murder and plenty of mystery! Thank you, I love getting lost in your stories!

I have read two of the Westward Chronicles so far, and love everything Tracie Peterson has written. For a while I didn't think I was going to like this story, about half way to three fourths into the story I came real close to disliking Rachal. I thought she was real special after reading about her in the first sequel. She made it up in the last half. And Braeden was a good hero. Actually, I liked all the characters except for that rotten Ivy and her aunt. The story is full of suspense and will keep you on pins and needles throughout the entire story! I highly recommend this series!

As always. Tracie has kept us in suspence and surrounded us by love. As always, let's us know God's love is ever there.

The story was beautifully written. It shows how lies and deceit of gossip can ruin lives. However, this series stressed who you should truly put your trust in God,

Really good historical fiction about the American West and the Harvey hotels. Even my husband is enjoying this series.

I love anything written by Tracie Peterson.

Great read of the continuing saga of Westward Chronicles.Loved the developed characters and time period.

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Download PDF DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza

Download PDF DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza

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DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza

Download PDF DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza

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Review

"Known… for its four-color maps, photos and illustrations, the [DK] Eyewitness Guides are extremely user-friendly for travelers who want their information delivered in a concise, visual way." — Chicago Tribune"The best option… Color photos, maps, and diagrams bring the place to life." — The Philadelphia Inquirer

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Product details

Series: EYEWITNESS TRAVEL GUIDE

Paperback: 208 pages

Publisher: DK Eyewitness Travel; Revised edition (April 21, 2014)

Language: English

ISBN-10: 9781465411563

ISBN-13: 978-1465411563

ASIN: 1465411569

Product Dimensions:

5.1 x 0.5 x 8.8 inches

Shipping Weight: 14.4 ounces

Average Customer Review:

4.3 out of 5 stars

17 customer reviews

Amazon Best Sellers Rank:

#1,569,493 in Books (See Top 100 in Books)

Attractive book as all in the DK series, very nice pictures and good illustrations. I have more than 15 of them as they are my favorite guides. Unfortunately this one is extremely summarized and does not do justice to the Balearic Islands, everything is telegraphic, with very little detail, as if it was assembled in a hurry. And I can tell you because I was born in Mallorca, have my family there and visit twice a year.

There were only a very few pages on Ibiza. It did not do a good job other than the biggest town. We were on the other side of the island so this book did us no good. No activities listed or rated. Not a help in any way shap or form unless you are in the main town.

I love all the DK Eyewitness Travel books. This one is no exception. Arrived promptly.

Very Good concise Guide Book, well printed with great pictures and maps

DK has the best travel guides.

I really liked this book. If it informative and full of wonderful color pictures of the areas in Spain. Great book to get before you explore this magical country!

Perfect book for Mallorca. There was just enough information for our trip.

Excellent! Perfect condition.

DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza PDF
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza EPub
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza Doc
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza iBooks
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza rtf
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza Mobipocket
DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza Kindle

DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza PDF

DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza PDF

DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza PDF

DK Eyewitness Travel Guide: Mallorca, Menorca & Ibiza PDF