Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough.     Together, these constitute Hand’s groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective.     An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.

    Understanding its origin and development through the experiences of Wilford Woodruff will answer questions posed by individuals inside and outside of the Church. What is the relationship of temple ordinances and Old Testament rituals? Why have some ordinances been discontinued? Why did married women choose to be sealed to Joseph Smith? What is priesthood adoption? When were proxy ordinances introduced?Many books and articles address a specific temple ordinance or a period of time in Mormon history, but the development of all temple ordinances has never been included in a single volume - until now.Jennifer Mackley's meticulously researched biographical narrative chronicles the development of temple doctrine through the examination of Wilford Woodruff's personal life. The account unfolds in Woodruff's own words, drawn from primary sources including journals, discourses, and letters. Mackley elucidates the doctrine's sixty-year progression from Old Testament practices of washings and anointings in the 1830s, to the endowment, sealings, and priesthood adoptions in the 1840s, through all of the vicarious ordinances for the dead in the 1870s, to the sealing of multigenerational families in the 1890s. Her narrative is enhanced by 120 archival images (some previously unpublished), as well as extensive footnotes and citations for the reader's further study. More information can be found at www.wilfordwoodruff.info.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    This history of the Underground Church reflects the continuing struggle in many parts of the world today.

    It would alsomake a good RCIA resource as well as a blockbuster stimulus fordiscussions."—Book Nook, Pecos BenedictineThe authors answer the question, "Why Be Catholic?" fairly and squarely, showing a deep appreciation about what is good in Catholicism and a penetrating honesty about the Church's shortcomings. Rohr and Martos also examine what it means to be Catholic in the United States today. Finally, to answer the title question in a more personal way, they present portraits of some outstanding Catholics, especially those we call saints, who have found personal fulfillment by living their faith to the utmost.After reading this book, you will appreciate more fully the unique heritage of the Catholic Church. You will understand how its magnificent tradition enriches the lives of Catholics today and propels the ever-changing Church into the 21st century and third millennium. A popular resource for RCIA, evangelization and religious education.

    Did humans emerge through evolutionary processes from an ape-like ancestor or are we God's creation? A comparison of scientific models provides stunning insights and a framework to test emerging evidence.

    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.

    xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

    Subjects ranging from the philosophical to the practical--what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others--are dealt with in Stewart's much-admired style, which combines subtle, easygoing humor with a talent for cutting to the heart of the matter. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of mathematics.

    You need only observe the world around you to discover how substantially the ideas of history's thinkers affect us still. You can hear it in the beliefs of your non-Christian friends. In the media, your music, your children's classrooms. You can see it in our public policies, on every bookstore shelf, in the way we understand our very existence--even in the church. We like to believe that we create our little worlds from scratch and then live in them. But the reality is, we step into an environment that already exists, and we learn to interact with it. The game has been conceived long before us; the rules and boundaries already decided. We may be amused when Rene Descartes labors so long in order to conclude that he exists, or puzzled by Immanuel Kant spending his life analyzing how we know anything. Yet these men were not simply contemplating minutiae. The foundational thinking of philosophy tries to lay bare all of our assumptions, revealing our false and sometimes dangerous beliefs so that we may arrive at a coherent worldview. The greater our familiarity with the ideas that have shaped our culture over the centuries, the greater our ability to understand--and influence--that culture for Christ. From ancient Greek thinkers like Plato and Aristotle to Christian philosophers like Augustine and Aquinas to the molders of modern thought such as Kant and Nietszche, R. C. Sproul traces the contours of Western philosophy throughout history and demonstrates the massive consequences these ideas have had on world events, theology, the arts, and culture--as well as in our everyday lives.

    It’s the hinge on which the rest of your life hangs. It’s the difference between deep, satisfied spirituality and a restless, dispassionate faith.In an age of materialism and consumerism that tries to buy its way to happiness, many souls are starved and unhealthy, unsatisfied by false promises of status and wealth. We’ve neglected this eternal part of ourselves, focusing instead on the temporal concerns of the world—and not without consequence.Bestselling author John Ortberg presents another classic that will help you discover your soul—the most important connection to God there is—and find your way out of the spiritual shallow-lands to true divine depth. With characteristic insight and an accessible story-filled approach, Ortberg brings practicality and relevance to one of Christianity’s most mysterious and neglected topics.

    Lewis. Also featured are valuable contributions from a who’s-who of modern apologists such as Chuck Colson, Norm Geisler, Hank Hanegraaff, Josh McDowell, Albert Mohler, Ravi Zacharias, and many more.• The best apologetics thinkers of our day in one resource• The study Bible for customers asking the really hard questions about their faith• No other study Bible has the depth of resources that address the hard questions of faith and life• Serious help for Christians of all types• Tears down the obstacles to belief• Shows why the Bible is trustworthy• Allows Christians to dig into false teachings to see why they’re false• Will strengthen the church and give confidence to those who share their faith• Will better equip church leaders THE BEST APOLOGETICS THINKERS OF OUR DAY IN ONE RESOURCE (100+ CHRISTIAN APOLOGISTS):- Ted Cabal- Lee Strobel- Chuck Colson- Paul Copan- Norm Geisler- Hank Hanegraaff- Josh McDowell- Albert Mohler- J.P. Moreland- Ravi Zacharias- and many more Features MORE THAN 100 FEATURED ARTICLES IN CATEGORIES SUCH AS• Ethics• Interpreting the Bible in Light of Science• The Impact of Archaeology and History on Our Understanding the Bible• The Bible in Light of Theology• Christian Faith and Non-Christian Belief Systems• Christian Faith and Philosophy• Featured study notes that explain alleged “problem” passages in the Bible• 50 sidebars (Twisted Scripture) focusing on Bible passages misused by cults• Index of special articles for quick and easy access• Book introductions with special emphasis on anything of an apologetics nature• Profiles of key Christian apologists  - Anselm  - Athanasius  - Augustine  - Joseph Butler  - C.S. Lewis  - Irenaeus  - Justin Martyr  - Origen  - William Paley  - Blaise Pascal• End of verse Scripture references• Presentation page• Plan of Salvation• Two-column Bible text setting• Topical subheads• Translation footnotes• Holman CSB® bullet notes• Introduction to the Holman CSB®

    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.

    But is there an ultimate proof of creation? There is an argument for creation that is powerful, conclusive, and has no true rebuttal. As such, it is an irrefutable argument – an “ultimate proof ” of the Christian worldview biblical creation. Master the method outlined in the following chapters, and you will be able to defend Christianity against all opposition.* Learn how to apply the ultimate proof in dialogues with evolutionists,how to spot logical fallacies, and biblical examples of defending the faith* Discover the nature of scientific evidence and its proper role in theorigins debate* Details how to address theistic evolution, “day age” creationism, andother compromised positions of biblical creationism* An exceptional book for pastors, ministry leaders, seminary attendees,and students of religion and philosophyThis book is a complete guide to defending the Christian faith, emphasizing the defense of the Genesis account of creation, built on techniques that have been developed over many years and presentations. They are not difficult to apply when you learn how to do it properly. Ready to move beyond the circular arguments? It is time to get to the real heart of the issue and rationally resolve the origins debate. It is time to discover The Ultimate Proof of Creation.