In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    This work has played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book contains all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics.

    An acclaimed author and public speaker, Black shows how this body of knowledge has been declared ‘heretical’ both by the established church and by today’s atheistic intellectual elite.Finally, he outlines in the clearest terms possible the supernatural laws that govern our universe, and describes rules for living that take us beyond consensual thought, rules that may at first seem crazy, even dangerous, but which contain the secrets for achieving success, happiness and a higher state of being.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with: 125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward Hints of History that provide fun facts and background information for every brain teaser Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.

    The challenges they put forward extend beyond philosophy and entail a reconsideration of the foundations of belief in God and the religious life. They urge that the rejection of metaphysical truth does not necessitate the death of religion; instead it opens new ways of imagining what it is to be religious—ways that emphasize charity, solidarity, and irony. This unique collaboration, which includes a dialogue between the two philosophers, is notable not only for its fusion of pragmatism (Rorty) and hermeneutics (Vattimo) but also for its recognition of the limits of both traditional religious belief and modern secularism.In "Anticlericalism and Atheism" Rorty discusses Vattimo's work Belief and argues that the end of metaphysics paves the way for an anti-essentialist religion. Rorty's conception of religion, determined by private motives, is designed to produce the gospel's promise that henceforth God will not consider humanity as a servant but as a friend. In "The Age of Interpretation," Vattimo, who is both a devout Catholic and a frequent critic of the church, explores the surprising congruence between Christianity and hermeneutics in light of the dissolution of metaphysical truth. As in hermeneutics, interpretation is central to Christianity, which introduced the world to the principle of interiority, dissolving the experience of objective reality into "listening to and interpreting messages." The lively dialogue that concludes this volume, moderated and edited by Santiago Zabala, analyzes the future of religion together with the political, social, and historical aspects that characterize our contemporary postmodern, postmetaphysical, and post-Christian world.

    In Irreligion he presents the case for his own worldview, organizing his book into twelve chapters that refute the twelve arguments most often put forward for believing in God's existence. The latter arguments, Paulos relates in his characteristically lighthearted style, "range from what might be called golden oldies to those with a more contemporary beat. On the playlist are the firstcause argument, the argument from design, the ontological argument, arguments from faith and biblical codes, the argument from the anthropic principle, the moral universality argument, and others." Interspersed among his twelve counterarguments are remarks on a variety of irreligious themes, ranging from the nature of miracles and creationist probability to cognitive illusions and prudential wagers. Special attention is paid to topics, arguments, and questions that spring from his incredulity "not only about religion but also about others' credulity." Despite the strong influence of his day job, Paulos says, there isn't a single mathematical formula in the book.

    ASIN: 0312295170

    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.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    It has been reprinted in Ideas and Opinions, Crown Publishers, Inc. 1954, pp 36 - 40. It also appears in Einstein's book The World as I See It, Philosophical Library, New York, 1949, pp. 24 - 28.Everything that the human race has done and thought is concerned with the satisfaction of deeply felt needs and the assuagement of pain. One has to keep this constantly in mind if one wishes to understand spiritual movements and their development. Feeling and longing are the motive force behind all human endeavor and human creation, in however exalted a guise the latter may present themselves to us. Now what are the feelings and needs that have led men to religious thought and belief in the widest sense of the words? A little consideration will suffice to show us that the most varying emotions preside over the birth of religious thought and experience. With primitive man it is above all fear that evokes religious notions - fear of hunger, wild beasts, sickness, death. Since at this stage of existence understanding of causal connections is usually poorly developed, the human mind creates illusory beings more or less analogous to itself on whose wills and actions these fearful happenings depend. Thus one tries to secure the favor of these beings by carrying out actions and offering sacrifices which, according to the tradition handed down from generation to generation, propitiate them or make them well disposed toward a mortal. In this sense I am speaking of a religion of fear. This, though not created, is in an important degree stabilized by the formation of a special priestly caste which sets itself up as a mediator between the people and the beings they fear, and erects a hegemony on this basis. In many cases a leader or ruler or a privileged class whose position rests on other factors combines priestly functions with its secular authority in order to make the latter more secure; or the political rulers and the priestly caste make common cause in their own interests.

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    But Tao cannot fully be explained in words; it can only felt and experienced. Tao is something you live, day by day, moment by moment. It s the omnipresent oneness beyond ephemeral phenomena that expresses itself in everything. New York Times bestselling author Ilchi Lee, an enlightened Tao master from South Korea, has laid out a path to living Tao everyday. Along this path, he guides you to an understanding of the meaning of birth, death, and everything in between, building a foundation for living a complete and whole life. The universal principles contained in "Living Tao: Timeless Principles for Everyday Enlightenment" stem from the Korean practice of Sundo, an ancient tradition of mind-body training, as well as Lee s own life experience. With these tangible principles, Ilchi Lee makes this profound topic simple and accessible. "Living Tao" has an unparalleled depth in its simplicity that anyone can absorb and immediately apply. * 2015 INDIEFAB Book of the Year Award Winner, Bronze, Body, Mind & Spirit"

    New Proofs for the Existence of God responds to these glaring omissions. From universal space-time asymmetry to cosmic coincidences to the intelligibility of reality, Robert Spitzer tackles a wealth of evidence. He considers string theory, quantum cosmology, mathematical thoughts on infinity, and much more. This fascinating and stunning collection of evidence provides solid grounding for reasonable and responsible belief in a super-intelligent, transcendent, creative power standing at the origins of our universe.

    Indeed, if God knows everything, why do we need to learn through pain and suffering? If God is omnipotent, why are we needed to do good? If the universe is fundamentally good, why are wars, crime, and injustice all around us? In modern society, orthodox science takes the rational high-ground and tackles these contradictions by denying the very need for, and the existence of, meaning. Indeed, many of us implicitly accept the notion that rationality somehow contradicts spirituality. That is a modern human tragedy, not only for its insidiousness, but for the fact that it is simply not true. In this book, the author constructs a coherent and logical argument for the meaning of existence, informed by science itself. A framework is laid out wherein all aspects of human existence have a logical, coherent reason and role, including the ones often perceived as negative. The powerful logic of this framework inescapably leads to insightful and inspiring guidelines for living a purposeful and meaningful life.