Empfehlungen basierend auf "Taming the Infinite The Story of Mathematics"

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.“It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

'Grayling brings satisfying order to daunting subjects' Steven Pinker 'An enthusiastic thinker who embraces humour, common sense and lucidity' Independent _______________ From the eminent philosopher, an authoritative exploration of the great questions of how to live 'There is a question everyone has to ask and answer - in fact, has to keep on asking and keep on answering. It is, 'How should I live my life?' meaning, 'What values shall I live by? 'What sort of person should I be? What shall I aim for?' The great majority of people do not ask this question, they merely answer it unthinkingly, by adopting conventional views of life and what matters in it...' From Stoics to existentialists, in philosophy and literature, discussion of the philosophy of life -- of love and death, of courage, fortitude and wisdom -- challenges us all to think about what kinds of life are truly worth living. In this summation of a lifetime thinking and writing about this great question, A. C. Grayling explores with clarity and depth the ideas that each of us must use in answering it for ourselves. Drawing on the lives, experiences and works of a fantastically eclectic range of thinkers -- taking in not only philosophers such as Confucius, Seneca and Nietzsche, but also authors from Shakespeare to Ursula LeGuin, and modern thinkers such as Martha Nussbaum and Bernard Williams - Philosophy and Life brings together wisdom from across eras and continents in a tour de force on the philosophy of being human in a complicated world.

Widely recognized as the finest definition of existentialist philosophy ever written, this book introduced existentialism to America in 1958. Barrett speaks eloquently and directly to concerns of the 1990s: a period when the irrational and the absurd are no better integrated than before and when humankind is in even greater danger of destroying its existence without ever understanding the meaning of its existence.Irrational Man begins by discussing the roots of existentialism in the art and thinking of Augustine, Aquinas, Pascal, Baudelaire, Blake, Dostoevski, Tolstoy, Hemingway, Picasso, Joyce, and Beckett. The heart of the book explains the views of the foremost existentialists—Kierkegaard, Nietzsche, Heidegger, and Sartre. The result is a marvelously lucid definition of existentialism and a brilliant interpretation of its impact.

There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations.Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics.Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach―that is, to incorporate prior knowledge when reasoning with incomplete information―in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data―and how to fix it.

Richard Feynman – Nobel Laureate, Teacher, Icon And Genius – Possessed An Unquenchable Thirst For Adventure And An Unparalleled Gift For Telling The Extraordinary Stories Of His Life. In This Collection Of Short Pieces And Reminiscences He Describes Everything From His Love Of Beauty To College Pranks To How His Father Taught Him To Think. He Takes Us Behind The Scenes Of The Space Shuttle Challenger Investigation, Where He Dramatically Revealed The Cause Of The Disaster With A Simple Experiment. And He Tells Us Of How He Met His Beloved First Wife Arlene, And Their Brief Time Together Before Her Death. Sometimes Intensely Moving, Sometimes Funny, These Writings Are Infused With Feynman’s Curiosity And Passion For Life.

A profoundly beautiful and uniquely insightful description of the universe, Benedict de Spinoza's Ethics is one of the masterpieces of Enlightenment-era philosophy.Published shortly after his death, the Ethics is undoubtedly Spinoza's greatest work - an elegant, fully cohesive cosmology derived from first principles, providing a coherent picture of reality, and a guide to the meaning of an ethical life. Following a logical step-by-step format, it defines in turn the nature of God, the mind, the emotions, human bondage to the emotions, and the power of understanding - moving from a consideration of the eternal, to speculate upon humanity's place in the natural order, the nature of freedom and the path to attainable happiness. A powerful work of elegant simplicity, the Ethics is a brilliantly insightful consideration of the possibility of redemption through intense thought and philosophical reflection. The Ethics is presented in the standard translation of the work by Edwin Curley. This edition also includes an introduction by Stuart Hampshire, outlining Spinoza's philosophy and placing it in context.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

This book, one of the first full-length studies of the modalities to emerge from the debate to which Saul Kripke, David Lewis, Ruth Marcus, and others are contributing, is an exploration and defense of the notion of modality de re, the idea that objects have both essential and accidental properties. Plantinga develops his argument by means of the notion of possible worlds and ranges over such key problems as the nature of essence, transworld identity, negative existential propositions, and the existence of unactual objects in other possible worlds. He also applies his logical theories to the elucidation of two problems in the philosophy of religion: the problem of evil and the ontological argument.

The story of philosophy is an epic tale: an exploration of the ideas, views and teachings of some of the most creative minds known to humanity. But since the long-popular classic Bertrand Russell's History of Western Philosophy, first published in 1945, there has been no comprehensive and entertaining, single-volume history of this great intellectual journey.With his characteristic clarity and elegance A. C. Grayling takes the reader from the world-views and moralities before the age of the Buddha, Confucius and Socrates, through Christianity's dominance of the European mind to the Renaissance and Enlightenment, and on to Mill, Nietzsche, Sartre, and philosophy today. And, since the story of philosophy is incomplete without mention of the great philosophical traditions of India, China and the Persian-Arabic world, he gives a comparative survey of them too.Intelligible for students and eye-opening for philosophy readers, he covers epistemology, metaphysics, ethics, aesthetics, logic, the philosophy of mind, the philosophy of language, political philosophy and the history of debates in these areas of enquiry, through the ideas of the celebrated philosophers as well as less well-known influential thinkers. He also asks what we have learnt from this body of thought, and what progress is still to be made.The first authoritative and accessible single-volume history of philosophy for decades, remarkable for its range and clarity, this is a landmark work.

Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

Famous the world over for the creative brilliance of his insights into the physical world, Nobel Prize-winning physicist Richard Feynman also possessed an extraordinary talent for explaining difficult concepts to the nonscientist. QED--the edited version of four lectures on quantum electrodynamics that Feynman gave to the general public at UCLA as part of the Alix G. Mautner Memorial Lecture series--is perhaps the best example of his ability to communicate both the substance and the spirit of science to the layperson.The focus, as the title suggests, is quantum electrodynamics (QED), the part of the quantum theory of fields that describes the interactions of the quanta of the electromagnetic field-light, X rays, gamma rays--with matter and those of charged particles with one another. By extending the formalism developed by Dirac in 1933, which related quantum and classical descriptions of the motion of particles, Feynman revolutionized the quantum mechanical understanding of the nature of particles and waves. And, by incorporating his own readily visualizable formulation of quantum mechanics, Feynman created a diagrammatic version of QED that made calculations much simpler and also provided visual insights into the mechanisms of quantum electrodynamic processes.In this book, using everyday language, spatial concepts, visualizations, and his renowned "Feynman diagrams" instead of advanced mathematics, Feynman successfully provides a definitive introduction to QED for a lay readership without any distortion of the basic science. Characterized by Feynman's famously original clarity and humor, this popular book on QED has not been equaled since its publication.