Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it. Professor Copi seeks to make the subject accessible to the non-specialist and yet provide a sufficiently rigorous exposition for the serious student to see exactly what the theory is and how it works.
First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
The Third City, first published in 1982, offers an innovative response to the troubled relationship between Western philosophy, as it has been conducted since the Renaissance, and the everyday lives of the communities in which we live. Bebek contends that the model of philosophical reflection is to be found in Plato’s dialogues, which, rather than simply describing utopia through a series of abstract ‘concepts’, were instead designed to impel the learner towards a recognition of the true nature of reality – as much a ‘self-recognition’ as an understanding of the world ‘out there’. Thus, in order to revive the spirit of true philosophy, it is necessary to avoid both the false extremes of idealism and materialism, and to allow ethics once more to merge with epistemology. This title presents an exposition of this ethically based philosophy, allowing the very human insights of Plato to illumine the diverse problems of today.
First published in 1967, The Transcendence of the Cave is the second in a series of Gifford Lectures on philosophical issues, and continues the themes of the first series entitled The Discipline of the Cave. In the opening chapters, J N Findlay sketches an ontology, an axiology and a theology which are ‘phenomenological’ in the sense of Husserl, as they attempt to show that a ‘firmament’ of logical and other values emerges out of the contingencies of first order liking and interest. The synthesis of these values in an object having many paradoxical, mystical-religious properties is also a necessary outcome of this ‘logic’. In the later chapters, the author attempts to construct an orderly picture of other worldly experiences and their objects based solely on the premise that these experiences must be such as to resolve the many philosophical surds that plague us in this life.
First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam’s mentor, Hans Reichenbach, the book considers Reichenbach’s idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach’s pragmatic vindication of induction.
Author: Rachel Elior
Publisher: Littman Library of Jewish
Release Date: 2006
The words 'hasid' and 'hasidism' have become so familiar to people interested in the Jewish world that little thought is given to understanding exactly what hasidism is or considering its spiritual and social consequences. What, for example, are the distinguishing features of hasidism? What innovations does it embody? How did its founders see it? Why did it arouse opposition? What is the essential nature of hasidic thought? What is its spiritual essence? What does its literature consist of? What typifies its leadership? What is the secret of its persistence through the centuries? How have scholars explained its origins? Is hasidism an expression of mystical ideas, or a response to changing social circumstances? What is its connection to kabbalah? To Shabateanism? To messianism? What is its relationship to the traditional structures of authority in the Jewish world? This book aims to answer all these questions in a lucid and accessible manner. Rachel Elior focuses on the fundamental positions and the factors of primary importance: the substantial issues that recur in the hasidic texts, including how hasidim have seen themselves over the centuries, how they have constructed a new spiritual and social ideal, and how that ideal has stood the test of reality. The goal is to present the main characteristics of the hasidic movement and to examine the social implications of its mystical ideas. The text is fully supported by references to the relevant hasidic sources and academic literature. The book concludes with a comprehensive bibliography, including the hasidic texts on which the discussion is based as well as the scholarly literature on kabbalah and hasidism.