Pulsing with drama and excitement, Infinitesimal celebrates the spirit of discovery, innovation, and intellectual achievement-and it will forever change the way you look at a simple line. On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. 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. (shrink)

First published in 1946, History of Western Philosophy went on to become the best-selling philosophy book of the twentieth century. A dazzlingly ambitious project, it remains unchallenged to this day as the ultimate introduction to Western philosophy. Providing a sophisticated overview of the ideas that have perplexed people from time immemorial, it is 'long on wit, intelligence and curmudgeonly scepticism', as the New York Times noted, and it is this, coupled with the sheer brilliance of its scholarship, that has made (...) Russell's History of Western Philosophy one of the most important philosophical works of all time. (shrink)

From reviews of the hardback edition: a deep study of 20th century field ... of the conceptual origins and development of twentieth century field theories, ...

_'Philosophy, from the earliest times, has made greater claims, and acheived fewer results than any other branch of learning... I believe that the time has now arrived when this unsatisfactory state of affairs can be brought to an end'_ - _Bertrand Russell_ So begins _Our Knowledge of the Eternal World_, Bertrand Russell's classic attempt to show by means of examples, the nature, capacity and limitations of the logico-analytical method in philosophy.

ABNER SHIMONY of the Paradox A PHILOSOPHICAL PUPPET PLAY Dramatis personae: Zeno , Pupil, Lion Scene: The school of Zeno at Elea. Pup. Master! ...

Discusses Indian Buddhist philosophy in three phases of its development.

The book investigates distinctions between independent individuality and interactive relationality in physical phenomena. This is a common topic for investigation in modern physics and philosophy of science, and the topic is explored using contemporary research in those disciplines. Additionally, it is common for Buddhism to focus on relationships, and it proposes that independent individual things do not exist. In the context of physical reality, I take this Buddhist view as a hypothesis and examine it critically. We evaluate its arguments and (...) find them generally to be problematic when evaluated against modern standards for logic and physics. However, its fundamental principle—emptiness, or shunyata—is still worthy of being tested. -/- Contrary to many books on Buddhism and science, this one takes a very positive view of science. Yet, this depends on how we define ‘science’. Hence, the book begins with an examination of that topic, informed by philosophy of science and the author’s experience and training as physicist and philosopher. While we discuss, explain and justify many standard views of science, and present the standard elements of science, physics and physics theories, the book argues extensively for one perspective: pluralism in a synthesis of the author’s design. -/- I will show shunyata to be quite consistent with the knowledge framework of Physics Pluralism. When we test Buddhist emptiness against the results of physics—interpreting both within that knowledge framework—we discover the relevance, importance, and some truth in the relationality ideas of shunyata. -/- Robert Alan Paul has studied physics, had a career as a physicist, and both studied and practiced Tibetan Buddhism. He holds a bachelor’s degree in physics, and separate master’s degrees in philosophy; philosophy of science & mathematics; and physics (abd). He holds an interdisciplinary Ph.D. in four disciplines: philosophy of science, Western analytic metaphysics, Buddhist philosophy, and physics. His Ph.D. dissertation was the foundation of this book. (shrink)

Originally published in 1962. This book discusses and interprets the main themes of Buddhist thought in India and is divided into three parts: Archaic Buddhism: Tacit assumptions, the problem of "original Buddhism", the three marks and the perverted views, the five cardinal virtues, the cultivation of the social emotions, Dharma and dharmas, Skandhas, sense-fields and elements. The Sthaviras: the eighteen schools, doctrinal disputes, the unconditioned and the process of salvation, some Abhidharma problems. The Mahayana: doctrines common to all Mahayanists, the (...) Madhyamikas, the Yogacarins, Buddhist logic, the Tantras. (shrink)

And the venerable Nāgasena said to Milinda the king: “You, Sire, have been brought up in great luxury, as beseems your noble birth. If you were to walk this dry weather on the hot and sandy ground, trampling under foot the gritty, gravelly grains of the hard sand, your feet would hurt you. And as your body would be in pain, your mind would be disturbed, and you would experience a sense of bodily suffering. How then did you come, on (...) foot, or in a chariot?”. (shrink)

And the venerable Nāgasena said to Milinda the king: “You, Sire, have been brought up in great luxury, as beseems your noble birth. If you were to walk this dry weather on the hot and sandy ground, trampling under foot the gritty, gravelly grains of the hard sand, your feet would hurt you. And as your body would be in pain, your mind would be disturbed, and you would experience a sense of bodily suffering. How then did you come, on (...) foot, or in a chariot?”. (shrink)

Spanning thirty years of intensive research, this book proves what many scholars could not explain: that today’s Western world must be considered the product of both Greek and Indian thought—Western and Eastern philosophies. Thomas McEvilley explores how trade, imperialism, and migration currents allowed cultural philosophies to intermingle freely throughout India, Egypt, Greece, and the ancient Near East. This groundbreaking reference will stir relentless debate among philosophers, art historians, and students.

For nearly two thousand years Buddhism has mystified and captivated both lay people and scholars alike. Seen alternately as a path to spiritual enlightenment, an system of ethical and moral rubrics, a cultural tradition, or simply a graceful philosophy of life, Buddhism has produced impassioned followers the world over. The Buddhist saint Nagarjuna, who lived in South India in approximately the first century CE, is undoubtedly the most important, influential, and widely studied Mahayana Buddhist philosopher. His many works include texts (...) addressed to lay audiences, letters of advice to kings, and a set of penetrating metaphysical and epistemological treatises. His greatest philosophical work, the Mulamadhyamikakarika--read and studied by philosophers in all major Buddhist schools of Tibet, China, Japan, and Korea--is one of the most influential works in the history of Indian philosophy. Now, in The Foundations of the Philosophy of the Middle Way, Jay L. Garfield provides a clear and and eminently readable translation of Nagarjuna's seminal work, offering those with little of no prior knowledge of Buddhist philosophy a view into the profound logic of the Mulamadhyamikakarika. Translated from the Tibetan, the tradition through which Nagarjuna's philosophical influence has largely been transmitted, Garfield presents a superb translation of Mulamadhyamikakarika in its entirety. Illuminating the systematic character of Nagarjuna's reasoning, as well as the works profundity, Garfield shows how Nagarjuna develops his doctrine that all phenomena are empty of inherent existence and essenceless. But, he argues, phenomena nonetheless exist conventionaly, and that indeed conventional existence and ultimate emptiness are in fact the same thing. This represents the radical understanding of the Buddhist doctrine of the two truths, or two levels of reality. Nagarjuna reinterprets all of Buddhist metaphysics and epistemology through this analytical framework--"a systematic and beautifully elegant philosophical dissection of reality." In turn, Garfield goes on to offer the only verse-by-verse commentary based upon the Indo-Tibetan Prasangika-Madhyamika reading of Nagarjuna, the school most influential in the development of Mahayana philosophy in Tibet, China, Korea, and Japan. Written specifically for the Western reader, the commentary explains Nagarjuna's positions and arguments in the language of Western metaphysics and epistemology, and connects Nagarjuna's concerns tho those of Western philosophers such as Sextus, Hume, and Wittgenstein. A fascinating and accessible translation of the foundational text for all Mahayana Buddhism text, The Fundamental Wisdom of the Middle Way will enlighten all those in search of the essence of reality. (shrink)

All lineages of Tibetan Buddhism today claim allegiance to the philosophy of the Middle Way, the exposition of emptiness propounded by the second-century Indian master Nagarjuna. But not everyone interprets it the same way. A major faultline runs through Tibetan Buddhism around the interpretation of what are called the two truths-the deceptive truth of conventional appearances and the ultimate truth of emptiness. An understanding of this faultline illuminates the beliefs that separate the Gelug descendents of Tsongkhapa from contemporary Dzogchen and (...) Mahamudra adherents.The Two Truths Debate digs into the debate of how the two truths are defined and how they are related by looking at two figures, one on either side of the faultline, and shows how their philosophical positions have dramatic implications for how one approaches Buddhist practice and how one understands enlightenment itself. (shrink)

The Indian philosopher Acarya Nagarjuna (c. 150-250 CE) was the founder of the Madhyamaka (Middle Path) school of Mahayana Buddhism and arguably the most influential Buddhist thinker after Buddha himself. Indeed, in the Tibetan and East Asian traditions, Nagarjuna is often referred to as the "second Buddha." This book presents a survey of the whole of Nagarjuna's philosophy based on his key philosophical writings. His primary contribution to Buddhist thought lies in the further development of the concept of sunyata or (...) "emptiness." For Nagarjuna, all phenomena are without any svabhava, literally "own-nature" or "self-nature," and thus without any underlying substance. Particular emphasis is put on discussing Nagarjuna's thinking as philosophy. The present discussion shows how his thoughts on metaphysics, epistemology, the self, language, and truth present a unified theory of reality with considerable systematic appeal. The book offers a systematic account of Nagarjuna's philosophical position. It reads Nagarjuna in his own philosophical context, but also shows that the issues of Indian and Tibetan Buddhist philosophy have at least family resemblances to issues in European philosophy. (shrink)