Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

    In this new edition, John Gray argues that whereas liberalism was the political theory of modernity, it is ill-equipped to cope with the dilemmas of the postmodern condition. The task now, as Gray sees it, is to develop a pluralist theory, in which the liberal problem of finding a modus vivendi among rival communities and worldviews is solved in postliberal terms.Copublished with Open University Press

    An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work."

    What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).

    Contemplation of time and the discoveries of modern science lead to the assertion that the mind is paramount and limitless.

    With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    At a glance, it bears few similarities to any place we know and inhabit. But upon closer examination, the differences between this complex virtual reality and our own might not be as vast as we think. In “How You Play the Game,” author and philosopher Charlie Huenemann looks philosophically at the game of Minecraft (“What is the point of this game? How does one win? Well, this depends on what you want to do”) and grapples with the ethical conundrums, existential crises and moral responsibilities of the virtual realm. From the Overworld to the Ender Dragon, Huenemann offers an entertaining, insightful and often hilarious examination of Minecraft and the strange worlds—both virtual and not—surrounding it.Charlie Huenemann is a Professor of Philosophy at Utah State University. He writes for 3quarksdaily, and has published several books on the history of philosophy.Cover design by Adil Dara.

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    A genius who throughout his life solved complex mathematical calculations in his head, and a writer gifted with an inimitable style, Poincaré rose to the challenge of interpreting the philosophy of science to scientists and nonscientists alike. His lucid and welcoming prose made him the Carl Sagan of his time. This volume collects his three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908).

    Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Still Life With Woodpecker, Villa Incognito, Fierce Invalids Home From Hot Climates, Jitterbug Perfume, Even Cowgirls Get the Blues, Skinny Legs and All, Another Roadside Attraction, Half Asleep in Frog Pajamas. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Still Life With Woodpecker (1980) is the third novel by Tom Robbins, concerning the love affair between an environmentalist princess and an outlaw. As with most of Robbins' books, it encompasses a broad range of topics, from aliens and redheads to consumerism, the building of bombs, romance, royalty, the moon, and a pack of Camels. The novel continuously addresses the question of how to make love stay. The story is sometimes called a post-modern fairy tale. The book begins in "the final quarter of the twentieth century," at a year never specified, presumably in the early 1980s. It revolves around a family of deposed European royalty living in a small house in the suburbs outside of Seattle, under the protection of the CIA. They consist of: the father, King Max, a former gambler and poker player whose prosthetic heart valve makes a loud scraping noise when he gets excited; the mother, Queen Tilli, an opera-lover with a strong foreign accent and a fondness for saying "Oh, oh, spaghetti-o"; Gulietta, the non-English-speaking maid (and, as it turns out, Max's half-sister) and the daughter, Leigh-Cheri, a redheaded vegetarian liberal princess and former cheerleader, having pulled out of classes after being asked to resign from the cheer squad after having a miscarriage while cheering at a football game. Leigh-Cheri proclaims herself celibate, withdraws from public life and cloisters herself in her room, only to emerge to ask her parents for permission to go to the Care Fest, a lib...More: http: //booksllc.net/?id=217300

    A story of mystery.Publisher: British Library, Historical Print EditionsThe British Library is the national library of the United Kingdom. It is one of the world's largest research libraries holding over 150 million items in all known languages and formats: books, journals, newspapers, sound recordings, patents, maps, stamps, prints and much more. Its collections include around 14 million books, along with substantial additional collections of manuscripts and historical items dating back as far as 300 BC.The FICTION & PROSE LITERATURE collection includes books from the British Library digitised by Microsoft. The collection provides readers with a perspective of the world from some of the 18th and 19th century's most talented writers. Written for a range of audiences, these works are a treasure for any curious reader looking to see the world through the eyes of ages past. Beyond the main body of works the collection also includes song-books, comedy, and works of satire. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++ British Library Behenna, Kathleen; 1896.]. vi. 352 p.; 8. 012626.ee.26.