Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Composed of such luminaries as Kurt Gödel and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science.Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery. Dr. Michael Guillen is Instructor of Physics and Mathematics in the Core Curriculum Program at Harvard University.

    'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    It it impossible is to resist quoting passages from this novel, given the author’s brilliant insights into character, wonderful literary flourishes and stunning demonstration of what is meant by inspired writing." - Humber School for Writers. A savage, brilliant, hilarious attack on modern hypocrisy, "The God of Atheists" follows the downfall of three men who wake up one morning and decide to take what they have not earned. Al, a down-and-out music producer, bullies his handsome son into forming a boy-band. Alder, an obscure academic, steals a brilliant idea from a grad student. As they exploit the talents of the naïve youths around them, their fame and wealth increase – but they become more and more terrified of exposure and destruction...

    Claire, Duke of Thornton, never cared much for society. He flew in the face of tradition whenever he could, but from the moment he met the strange artisan shouting out a rallying call, his curiosity is piqued. Jules Kelley's opinion of high society is pretty low. When a noble playing commoner stumbles upon her and gets wind of her secret, she is all but certain that things could not get worse! Together they stumble into a mystery surrounding a fire that should never have happened, and get pulled into the darker corners of society and forbidden love.The Captain of Her Betrayed HeartAfter what should have been one of the happiest nights of her life turned tragic, Gwyn decides to run away from England and everything she knew and loved. Four years ago, Jack decided to join the army, when the woman he had loved fiercely had fled with no sign as to why. Now it's time Jack returns home, to find himself in an unexpected situation. The announcements of Jack's impending betrothal and Gwyn's own ardent suitor seem to mean the end for everything that Jack and Gwyn might rekindle... but can this love really be buried?The Mystery of the Hunted LadyVera Ladislaw, a third generation Polish aristocrat, lives a quiet life in England, with her father dabbling in political reform and agricultural innovations, and her mother always on the hunt for a good husband. When the unthinkable happens, Vera's life is torn apart. Lord James Stanley, despite his extravagant balls and his rakish ways, is a rather lonely figure. When he finds a confidant in the alter ego of young Vera, a strong bonding is to come. Vera finds there is more to him than meets the eye and soon finds herself caught in a complicated web of romance, intrigue, and danger.Each book features a standalone, clean and sweet story of approximately 80,000 words. No cheating, no cliffhangers, and a sweet happily ever after.

    He believes that we should investigate what makes some countries more capable than others. Complex products—from films to robots, apps to automobiles—are a physical distillation of an economy’s knowledge, a measurable embodiment of its education, infrastructure, and capability. Economic wealth accrues when applications of this knowledge turn ideas into tangible products; the more complex its products, the more economic growth a country will experience.A radical new interpretation of global economics, Why Information Grows overturns traditional assumptions about the development of economies and the origins of wealth and takes a crucial step toward making economics less the dismal science and more the insightful one.

    This account of Heidegger's personal relations, originally published in German and extensively corrected by the author for this translation, enlarges our understanding of a complex figure.A well-known art historian and an intimate friend of Heidegger's, Heinrich Wiegand Petzet provides a rich portrait of Heidegger that is part memoir, part biography, and part cultural history. By recounting chronologically a series of encounters between the two friends from their meeting in 1929 until the philosopher's death in 1976, as well as between Heidegger and other contemporaries, Petzet reveals not only new aspects of Heidegger's thought and attitudes toward the historical and intellectual events of his time but also the greater cultural and social context in which he articulated his thought.

    In his very personal account, Bttger relates in a sober and realistic manner the fighting and experiences on and behind the front. He details his involvement in battles across Europe in honest terms. He describes vividly the cruelty and senselessness of war, along with the injustices and irritations of army life. The author was by no means a hero: he admits that he volunteered for the Wehrmacht to avoid sitting his school leaving exams (but obtain his Abitur leaving certificate). He also concedes that he lied about his health in an attempt to avoid being sent to the Eastern Front and was determined to stay alive at all cost.The book features almost 200 photographs taken by the author during the war and includes images taken in action.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.