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In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form the mathematical background of new technologies and Nobel prizes. But to fully appreciate these theorems and their impact on mathematics and beyond, you must understand their proofs. This book is the first to present these proofs for a broad, lay audience. It fully develops the simplest rigorous proofs found in the literature, reworked to contain less jargon and notation, and more background, intuition, examples, explanations, and exercises. Amazingly, all of the proofs in this book involve only arithmetic and basic logic – and are elementary, starting only from first principles and definitions. Very little background knowledge is required, and no specialized mathematical training – all you need is the discipline to follow logical arguments and a pen in your hand.
A landmark new translation of the most significant text in medieval Jewish thought. Written in Arabic and completed around 1190, the Guide to the Perplexed is among the most powerful and influential living texts in Jewish philosophy, a masterwork navigating the straits between religion and science, logic and revelation. The author, Rabbi Moses ben Maimon, commonly known as Maimonides or as Rambam, was a Sephardi Jewish philosopher, jurist, and physician. He wrote his Guide in the form of a letter to a disciple. But the perplexity it aimed to cure might strike anyone who sought to square logic, mathematics, and the sciences with biblical and rabbinic traditions. In this new translation by philosopher Lenn E. Goodman and historian Phillip I. Lieberman, Maimonides' warm, conversational voice and clear explanatory language come through as never before in English. Maimonides knew well the challenges facing serious inquirers at the confluence of the two great streams of thought and learning that Arabic writers labeled 'aql and naql, reason and tradition. The aim of the Guide, he wrote, is to probe the mysteries of physics and metaphysics. But mysteries, to Maimonides, were not conundrums to be celebrated for their obscurity. They were problems to be solved. Maimonides' methods and insights resonate throughout the work of later Jewish thinkers, rationalists, and mystics, and in the work of philosophers like Thomas Aquinas, Spinoza, Leibniz, and Newton. The Guide continues to inspire inquiry, discovery, and vigorous debate among philosophers, theologians, and lay readers today. Goodman and Lieberman's extensive and detailed commentary provides readers with historical context and philosophical enlightenment, giving generous access to the nuances, complexities, and profundities of what is widely agreed to be the most significant textual monument of medieval Jewish thought, a work that still offers a key to those who hope to harmonize religious commitments and scientific understanding.
A history of our time.
With this twelve-volume series, Westminster John Knox Press offers one of the most extensive and well-respected resources for preaching on the market today. The twelve volumes cover all of the Sundays in the three-year lectionary cycle, along with moveable occasions. The page layout is truly unique. For each lectionary text, preachers will find brief essays--one each on the exegetical, theological, pastoral, and homiletical challenges of the text. Each volume also contains an index of biblical passages so that nonlectionary preachers may make use of it.
"This study will be valuable not only to those interested in English political history, but also to historians of women, the medieval church, and medieval culture."--Jacket.
Includes the decisions of the Supreme Courts of Alabama, Florida, Louisiana, and Mississippi, the Appellate Courts of Alabama and, Sept. 1928/Jan. 1929-Jan./Mar. 1941, the Courts of Appeal of Louisiana.