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This book presents an exploration of set theory and the mathematical representation of families of sets. It includes discussions of related problems and concepts, such as basic set theory, relations, functions, and logic, as well as their applications to computer science, linguistics, and other fields.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Offers solutions to some of philosophy's vexing problems. This book examines the problem of realism: Is objective truth possible? It acknowledges the impasse between empirical and idealist approaches to this question, critiquing them both, however, by highlighting the false assumption they share, that we cannot perceive the world directly.
This volume brings together leading scholars to examine Darwinian perspectives on morality from widely ranging disciplines: evolutionary biology, anthropology, psychology, philosophy, and theology
Hilary Putnam deals in this book with some of the most fundamental persistent problems in philosophy: the nature of truth, knowledge and rationality. His aim is to break down the fixed categories of thought which have always appeared to define and constrain the permissible solutions to these problems.
An introduction to realism which concentrates on the alternatives to metaphysical realism and cultural relativism. The author places her thoughts in a historical context, appraises Kantian circumstances and defends moral objectivity.
Hilary Putnam argues that all facts are dependent on cognitive values. Ruth Anna Putnam turns the problem around, illuminating the factual basis of moral principles. Together, they offer a pragmatic vision that in Hilary's words serves "as a manifesto for what the two of us would like philosophy to look like in the twenty-first century and beyond."
Hilary Putnam's writings have shaped epistemology, ethics, metaphysics, philosophy of physics and mathematics, and philosophy of mind. This volume illustrates his willingness to revisit past arguments, above all how to articulate a theory of naturalism which acknowledges that normative phenomena form an ineluctable part of human experience.
Putnam offers a sweeping account of the sources of several central problems of philosophy. A unifying theme of the volume is that reductionism, scientism, and old-style disenchanted naturalism tend to be obstacles to philosophical progress.
Hilary Putnam, one of America's most distinguished philosophers, surveys an astonishingly wide range of issues and proposes a new, clear-cut approach to philosophical questions-a renewal of philosophy. He discusses topics from artificial intelligence to natural selection.
Hilary Putnam has at last paused from philosophizing to collect his papers for publication-his first volume in almost two decades. Contributing to a broad range of philosophical inquiry, Putnam has been said to represent a "history of recent philosophy in outline." In this volume he suggests philosophy's possible future, as well.
Distinguished philosopher Hilary Putnam, who is also a practicing Jew, questions the thought of three major Jewish philosophers of the 20th century-Franz Rosenzweig, Martin Buber, and Emmanuel Levinas-to help him reconcile the philosophical and religious sides of his life. An additional presence in the book is Ludwig Wittgenstein, who, although not a practicing Jew, thought about religion in ways that Putnam juxtaposes to the views of Rosenzweig, Buber, and Levinas. Putnam explains the leading ideas of each of these great thinkers, bringing out what, in his opinion, constitutes the decisive intellectual and spiritual contributions of each of them. Although the religion discussed is Judaism, the depth and originality of these philosophers, as incisively interpreted by Putnam, make their thought nothing less than a guide to life.
Deals with the ontological problem in the philosophy of logic and mathematics, that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. This book also addresses the question of whether or not reference to these abstract entities is really indispensable in logic.
Offers a seminal philosophical work, that presents a conception of knowledge which makes ethics, practical knowledge and non-mathematic parts of the social sciences just as much parts of 'knowledge' as the sciences themselves.
One of America's great philosophers says the time has come to reform philosophy. Putnam calls upon philosophers to attend to the gap between the present condition of their subject and the human aspirations that philosophy should and once did claim to represent. His goal is to embed philosophy in social life.
Can ethical judgments properly be considered objective? Reviewing what he deems the disastrous consequences of ontology's influence on analytic philosophy-in particular, the contortions it imposes upon debates about the objective of ethical judgments-Putnam proposes abandoning the very idea of ontology.
In this book, one of the world's preeminent philosophers takes issue with an idea that has found an all-too-prominent place in popular culture and philosophical thought: the idea that while factual claims can be rationally established or refuted, claims about value are wholly subjective, not capable of being rationally argued for or against.
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