Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

Boris Kuznetsov was a scientist among humanists, a philosopher among scientists, a historian for those who look to the future, an optimist in an age of sadness. He was steeped in classical European culture, from earliest times to the latest avant-garde, and he roamed through the ages, an inveterate time-traveller, chatting and arguing with Aristotle and Descartes, Heine and Dante, among many others. Kuznetsov was also, in his intelligent and thoughtful way, a Marxist scholar and a practical engineer, a patriotic Russian Jew of the first sixty years of the Soviet Union. Above all he meditated upon the revolutionary developments of the natural sciences, throughout history to be sure but particularly in his own time, the time of what he called 'non-classical science', and of his beloved and noblest hero, Albert Einstein. Kuznetsov was born in Dnepropetrovsk on October 5, 1903 (then Yekaterinoslav). By early years he had begun to teach, first in 1921 at an institute of mining engineering and then at other technological institutions. By 1933 he had received a scientific post within the Academy of Science of the U. S. S. R. , and then at the end of the Second World War he joined several colleagues at the new Institute of the History of Science and Technology. For more than 40 years he worked there until his death two years ago.

Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

This Encyclopedia offers a fresh, integrated and creative perspective on the formation and foundations of philosophy and science in European modernity. Combining careful contextual reconstruction with arguments from traditional philosophy, the book examines methodological dimensions, breaks down traditional oppositions such as rationalism vs. empiricism, calls attention to gender issues, to ‘insiders and outsiders’, minor figures in philosophy, and underground movements, among many other topics. In addition, and in line with important recent transformations in the fields of history of science and early modern philosophy, the volume recognizes the specificity and significance of early modern science and discusses important developments including issues of historiography (such as historical epistemology), the interplay between the material culture and modes of knowledge, expert knowledge and craft knowledge. This book stands at the crossroads of different disciplines and combines their approaches – particularly the history of science, the history of philosophy, contemporary philosophy of science, and intellectual and cultural history. It brings together over 100 philosophers, historians of science, historians of mathematics, and medicine offering a comprehensive view of early modern philosophy and the sciences. It combines and discusses recent results from two very active fields: early modern philosophy and the history of (early modern) science. Editorial Board EDITORS-IN-CHIEF Dana Jalobeanu University of Bucharest, Romania Charles T. Wolfe Ghent University, Belgium ASSOCIATE EDITORS Delphine Bellis University Nijmegen, The Netherlands Zvi Biener University of Cincinnati, OH, USA Angus Gowland University College London, UK Ruth Hagengruber University of Paderborn, Germany Hiro Hirai Radboud University Nijmegen, The Netherlands Martin Lenz University of Groningen, The Netherlands Gideon Manning CalTech, Pasadena, CA, USA Silvia Manzo University of La Plata, Argentina Enrico Pasini University of Turin, Italy Cesare Pastorino TU Berlin, Germany Lucian Petrescu Université Libre de Bruxelles, Belgium Justin E. H. Smith University de Paris Diderot, France Marius Stan Boston College, Chestnut Hill, MA, USA Koen Vermeir CNRS-SPHERE + Université de Paris, France Kirsten Walsh University of Calgary, Alberta, Canada

Bold and pioneering, this book makes a detailed historical and systematic case that Descartes's theory of knowledge is an elegant and powerful combination of a priori, naturalistic, and dialectical elements meriting serious consideration by both contemporary analytic philosophers and postmodern thinkers. In the course of making this case Thomas Vinci develops a broad reinterpretation of Cartesian thought that unlocks novel solutions to many of the most vexed questions in Cartesian scholarship.

Uniquely authoritative and wide-ranging in its scope, The Oxford Dictionary of the Christian Church is the indispensable reference work on all aspects of the Christian Church. It contains over 6,500 cross-referenced A-Z entries, and offers unrivalled coverage of all aspects of this vast and often complex subject, from theology; churches and denominations; patristic scholarship; and the bible; to the church calendar and its organization; popes; archbishops; other church leaders; saints; and mystics. In this new edition, great efforts have been made to increase and strengthen coverage of non-Anglican denominations (for example non-Western European Christianity), as well as broadening the focus on Christianity and the history of churches in areas beyond Western Europe. In particular, there have been extensive additions with regards to the Christian Church in Asia, Africa, Latin America, North America, and Australasia. Significant updates have also been included on topics such as liturgy, Canon Law, recent international developments, non-Anglican missionary activity, and the increasingly important area of moral and pastoral theology, among many others. Since its first appearance in 1957, the ODCC has established itself as an essential resource for ordinands, clergy, and members of religious orders, and an invaluable tool for academics, teachers, and students of church history and theology, as well as for the general reader.