The Description for this book, The Mechanization of the World Picture: Pythagoras to Newton, will be forthcoming.

Gottfried Wilhelm Leibniz grew to be one of the outstanding mathematicians of his age and to found the modern differential calculus.

This book offers a critical account of the fundamental elements of Leibniz's philosophy, as they manifest themselves in his metaphysics and philosophy of language. Emphasis is placed upon his hitherto neglected doctrine of nominalism, which states that only concrete individuals exist and that there are no such things as abstract entities – no numbers, geometrical figures or other mathematical objects, nor any abstractions such as space, time, heat, light, justice, goodness, or beauty. Using this doctrine as a basis, the book (...) considers the core of Leibniz's metaphysics and philosophy of language, including the well‐known principles of Contradiction, Sufficient Reason, Continuity and Individuation, and the concepts of Possible World, Individual Substance, Truth, and Necessity. (shrink)

Finding a powerful ally in Bertrand Russell, who provided the foreword for this book, Gellner embarked on the project that was to put him on the intellectual ...

This collection of articles and review essays, including many hard to find pieces, comprises the most important and fundamental studies of Indian logic and linguistics ever undertaken. Frits Staal is concerned with four basic questions: Are there universals of logic that transcend culture and time? Are there universals of language and linguistics? What is the nature of Indian logic? And what is the nature of Indian linguistics? By addressing these questions, Staal demonstrates that, contrary to the general assumption among Western (...) philosophers, the classical philosophers of India were rationalists, attentive to arguments. They were in this respect unlike contemporary Western thinkers inspired by existentialism or hermeneutics, and like the ancient Chinese, Greeks, and many medieval European schoolmen, only--as Staal says--more so. Universals establishes that Asia's contributions are not only compatible with what has been produced in the West, but a necessary ingredient and an essential component of any future human science. (shrink)

In this volume, Bimal K. Matilal blends knowledge contained in original Sanskrit texts and modern philosophical terminology in interpreting and reconstructing early philosophical theories, highlighting the critical and analytical nature of the Indian philosophical tradition.

This book is a defence of a form of realism which stands closest to that upheld by the Nyãya-Vaid'sesika school in classical India. The author presents the Nyãya view and critically examines it against that of its traditional opponent, the Buddhist version of phenomenalism and idealism. His reconstruction of Nyãya arguments meets not only traditional Buddhist objections but also those of modern sense-data representationalists.

Authorship of the great sanskrit language epic poem of India, the Mahabharat, is attributed to the sage krsna Dvaipayana Vyasa. This study focuseson the depictionof vyasa in the Mahabharata, where he is an important character in the tale he is credited, with composing. The interpretation of vyasa is enriched by the different perspectives provided by other literature, including dramas, Jataka tales, Arthasastra, and Puranas.

The Companion Encyclopedia is the first comprehensive work to cover all the principal lines and themes of the history and philosophy of mathematics from ancient times up to the twentieth century. In 176 articles contributed by 160 authors of 18 nationalities, the work describes and analyzes the variety of theories, proofs, techniques, and cultural and practical applications of mathematics. The work's aim is to recover our mathematical heritage and show the importance of mathematics today by treating its interactions with the (...) related disciplines of physics, astronomy, engineering and philosophy. It also covers the history of higher education in mathematics and the growth of institutions and organizations connected with the development of the subject. Part 1 deals with mathematics in various ancient and non-Western cultures from antiquity up to medieval and Renaissance times. Part 2 treats developments in all the main areas of mathematics during the medieval and Renaissance periods up to and including the early 17th century. Parts 3-10 are divided into the main branches into which mathematics developed from the early 17th century onwards: calculus and mathematical analysis, logic and foundations, algebras, geometries, mechanics, mathematical physics and engineering, and probability and statistics. Parts 11-13 review the history of mathematics from an international perspective. The teaching of mathematics in higher education is examined in various countries, and mathematics in culture, art and society is covered. The Companion Encyclopedia features annotated bibliographies of both classic and contemporary sources; black and white illustrations, line figures and equations; biographies of major mathematicians and historians and philosophers of mathematics; a chronological table of main events in the developments of mathematics; and a fully integrated index of people, events and topics. (shrink)