Book picks similar to
Language, Truth and Logic in Mathematics by Jaakko Hintikka
mathematics
lógica
language
nonf
Readings about the Social Animal
Elliot Aronson - 1973
Organized to illustrate the major themes of Elliot Aronson's The Social Animal, this collection of classic and contemporary readings explores the most important ideas, issues, and debates in social psychology today.
Words to Live By: Short Readings of Daily Wisdom
Eknath Easwaran - 1990
Each reading is based on a quotation from one of the world’s great philosophers, poets, saints, and sages. Augustine and Einstein, Emily Dickinson and Jalaladdin Rumi, Biblical verses, Buddhist sutras, Hasidic proverbs, and Hindu Upanishads can all be found here. Each quote is accompanied by a commentary from Easwaran, explaining how the wisdom of the ages can help us here and now. Some days offer gentle reminders to slow down and be mindful. Other days give advice for changing an unwanted habit, mending a relationship, staying strong in hard times, or striving toward the peaks of spirituality described in all religions. This is a book to read in the morning to start the day right, or at night to prepare for peaceful rest. Each day, each year, brings fresh insights and inspiration.
Introduction to Algebra
Richard Rusczyk - 2007
Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.
Meta Math!: The Quest for Omega
Gregory Chaitin - 2005
His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.
Indiscrete Thoughts
Gian-Carlo Rota - 1996
The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as the American university.Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 50s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come."Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend but everywhere readable and entertaining."--The American Mathematical Monthly"It is about mathematicians, the way they think, and the world in which the live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews"
Language and Politics
Noam Chomsky - 1988
Many of the pieces have never appeared in any other collection, some have never appeared in English, and more than one has been suppressed. This expanded edition contains fifty pages of brand new interviews.The interviews add a personal dimension to the full breadth of Chomsky’s impressive written canon—equally covering his analysis in linguistics, philosophy, and politics. This updated, annotated, fully indexed new edition contains an extensive bibliography, as well as an intro-duction by editor Carlos Otero on the relationship between Chomsky’s language and politics.Praise for previous edition:"For those who know [Chomsky] only as media analyst and critic of foreign policy, this wide-ranging book offers glimpses of his studies on language, anarchist theory, and critiques of radical politics."—NACLANoam Chomsky is a renowned scholar, the founder of the modern science of linguistics, a philosopher, a poli-tical and social analyst, a media critic, and author of more than one hundred books. Recipient of numerous prizes and awards, Chomsky ranks with Marx, Shakespeare and the Bible as one of the ten most quoted sources in the -humanities. His previous works include the best selling 9-11, and the critically acclaimed AK Audio Collection.Carlos Otero, who also edited Radical Priorities by Noam Chomsky, teaches linguistics at the University of California at Los Angeles.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Kurt Gödel - 1992
Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
Naive Set Theory
Paul R. Halmos - 1960
This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.
The Secret Life of Books: Why They Mean More Than Words
Tom Mole - 2019
We take them to bed with us. They weigh down our suitcases when we go on holiday. We display them on our bookshelves or store them in our attics. We give them as gifts. We write our names in them. We take them for granted. And all the time, our books are leading a double life.The Secret Life of Books is about everything that isn’t just the words. It’s about how books transform us as individuals. It’s about how books – and readers – have evolved over time. And it’s about why, even with the arrival of other media, books still have the power to change our lives.In this illuminating account, Tom Mole looks at everything from binding innovations to binding errors, to books defaced by lovers, to those imprisoning professors in their offices, to books in art, to burned books, to the books that create nations, to those we’ll leave behind.It will change how you think about books.A real treasure trove for book lovers’ - Alexander McCall Smith‘Every sentence is utterly captivating . . . probably the most compulsive text ever penned about what it means to handle and possess a book’ - Christopher de Hamel, author of Meetings with Remarkable Manuscripts‘Wonderfully insightful’ - Alberto Manguel, author of A History of Reading‘Tom Mole’s enthusiasm for books is infectious. If you also love books . . . you’ll want to discover The Secret Life of Books’ - Sam Jordison, author of Literary London‘A treat for bibliophiles everywhere’ - Gavin Francis, author of Shapeshifters‘A treasure-chest, filled with bookish wonders’ - Adam Roberts, BSFA award-winning author of Jack Glass‘I suspect I’ll never look at a book the same way again’ - Jon Courtenay Grimwood, author of Stamping Butterflies
Sociolinguistics
Bernard Spolsky - 1998
This book provides a brief yet comprehensive introduction to the field. It explores how sociolinguistics is linked to other disciplines such as history, politics and gender studies.
The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
Gottlob Frege - 1884
The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.
Ayn Rand: The Playboy Interview
Ayn Rand - 1964
It covered jazz, of course, but it also included Davis’s ruminations on race, politics and culture. Fascinated, Hef sent the writer—future Pulitzer-Prize-winning author Alex Haley, an unknown at the time—back to glean even more opinion and insight from Davis. The resulting exchange, published in the September 1962 issue, became the first official Playboy Interview and kicked off a remarkable run of public inquisition that continues today—and that has featured just about every cultural titan of the last half century.To celebrate the Interview’s 50th anniversary, the editors of Playboy have culled 50 of its most (in)famous Interviews and will publish them over the course of 50 weekdays (from September 4, 2012 to November 12, 2012) via Amazon’s Kindle Direct platform. Here is the interview with the novelist and philosopher Ayn Rand from the March 1964 issue.
1001 Most Useful Spanish Words
Seymour Resnick - 1996
Included are definitions of common Spanish words arranged by such categories as foods, numbers, days of the week, months, colors, the seasons, and family. The heart of the book is a dictionary, from a to zapato, in which each word is used in a Spanish sentence (with English translation) demonstrating its proper use. This useful learning and teaching tool was compiled by Seymour Resnick, a noted language teacher. It belongs at the fingertips of anyone studying the Spanish language.
Operations Research: Applications and Algorithms (with CD-ROM and InfoTrac)
Wayne L. Winston - 1987
It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.