Download or read book Wittgenstein Finitism and the Foundations of Mathematics written by Mathieu Marion and published by OUP Oxford. This book was released on 1998-12-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Download or read book Dictionary of World Philosophy written by A. Pablo Iannone and published by Routledge. This book was released on 2013-04-15 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dictionary of World Philosophy covers the diverse and challenging terminology, concepts, schools and traditions of the vast field of world philosophy. Providing an extremely comprehensive resource and an essential point of reference in a complex and expanding field of study the Dictionary covers all major subfields of the discipline. Key features: * Cross-references are used to highlight interconnections and the cross-cultural diffusion and adaptation of terms which has taken place over time * The user is led from specific terms to master entries which provide valuable historical and cultural context * Each master entry is followed by at least two suggestions for further reading on the subject, creating a substantial bibliography of world philosophy * References extend beyond philosophy to related areas such as cognitive science, computer science, language and physics Subdisciplines covered include:* aesthetics * ethics * sociopolitical philosophy * the philosophy of law * epistemology * logic * the philosophy of science * the philosophy of mind * the philosophy of culture and history * metaphysics * the philosophy of religion Entries are drawn from West Africa, Arabic, Chinese, Indian, Japanese, Jewish, Korean, Latin American, Maori and Native American philosophy including the important and so far largely neglected instance of Pre-Hispanic thought: Nahua philosophy.
Download or read book The Vienna Circle written by Friedrich Stadler and published by Springer. This book was released on 2015-05-08 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This abridged and revised edition of the original book (Springer-Wien-New York: 2001) offers the only comprehensive history and documentation of the Vienna Circle based on new sources with an innovative historiographical approach to the study of science. With reference to previously unpublished archival material and more recent literature, it refutes a number of widespread clichés about "neo-positivism" or "logical positivism". Following some insights on the relation between the history of science and the philosophy of science, the book offers an accessible introduction to the complex subject of "the rise of scientific philosophy” in its socio-cultural background and European philosophical networks till the forced migration in the Anglo-Saxon world. The first part of the book focuses on the origins of Logical Empiricism before World War I and the development of the Vienna Circle in "Red Vienna" (with the "Verein Ernst Mach"), its fate during Austro-Fascism (Schlick's murder 1936) and its final expulsion by National-Socialism beginning with the "Anschluß" in 1938. It analyses the dynamics of the Schlick-Circle in the intellectual context of "late enlightenment" including the minutes of the meetings from 1930 on for the first time published and presents an extensive description of the meetings and international Unity of Science conferences between 1929 and 1941. The chapters introduce the leading philosophers of the Schlick Circle (e.g., Hans Hahn, Otto Neurath, Rudolf Carnap, Philipp Frank, Felix Kaufmann, Edgar Zilsel) and describe the conflicting interaction between Moritz Schlick and Otto Neurath, the long term communication between Moritz Schlick, Friedrich Waismann and Ludwig Wittgenstein, as well as between the Vienna Circle with Heinrich Gomperz and Karl Popper. In addition, Karl Menger's "Mathematical Colloquium" with Kurt Gödel is presented as a parallel movement. The final chapter of this section describes the demise of the Vienna Circle and the forced exodus of scientists and intellectuals from Austria. The second part of the book includes a bio-bibliographical documentation of the Vienna Circle members and for the first time of the assassination of Moritz Schlick in 1936, followed by an appendix comprising an extensive list of sources and literature.
Download or read book Sets and Classes on The Work by Paul Bernays written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets and Classes on The Work by Paul Bernays
Download or read book Kurt G del Collected Works Volume I written by Kurt Gödel and published by Oxford University Press, USA. This book was released on 1986-05-22 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. L All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Download or read book The Logic of Infinity written by Barnaby Sheppard and published by Cambridge University Press. This book was released on 2014-07-24 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.
Download or read book Ontology after Carnap written by Stephan Blatti and published by Oxford University Press. This book was released on 2016-03-24 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic philosophy is once again in a methodological frame of mind. Nowhere is this more evident than in metaphysics, whose practitioners and historians are actively reflecting on the nature of ontological questions, the status of their answers, and the relevance of contributions both from other areas within philosophy (e.g., philosophical logic, semantics) and beyond (notably, the natural sciences). Such reflections are hardly new: the debate between Willard van Orman Quine and Rudolf Carnap about how to understand and resolve ontological questions is widely seen as a turning point in twentieth-century analytic philosophy. And indeed, this volume is occasioned by the fact that the deflationary approach to metaphysics advocated by Carnap in that debate is once again attracting considerable interest and support. Containing eleven original essays by many of today's leading voices in metametaphysics, Ontology After Carnap aims both to deepen our understanding of Carnap's contributions to metaontology and to explore how this legacy might be mined for insights into the contemporary debate. This collection will be of interest to scholars and students working in metaphysics, semantics, philosophical logic, metaphilosophy, and the history of analytic philosophy.
Download or read book The Oxford Handbook of The History of Analytic Philosophy written by Michael Beaney and published by OUP Oxford. This book was released on 2013-06-20 with total page 2500 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the course of the twentieth century, analytic philosophy developed into the dominant philosophical tradition in the English-speaking world. In the last two decades, it has become increasingly influential in the rest of the world, from continental Europe to Latin America and Asia. At the same time there has been deepening interest in the origins and history of analytic philosophy, as analytic philosophers examine the foundations of their tradition and question many of the assumptions of their predecessors. This has led to greater historical self-consciousness among analytic philosophers and more scholarly work on the historical contexts in which analytic philosophy developed. This historical turn in analytic philosophy has been gathering pace since the 1990s, and the present volume is the most comprehensive collection of essays to date on the history of analytic philosophy. It contains state-of-the-art contributions from many of the leading scholars in the field, all of the contributions specially commissioned. The introductory essays discuss the nature and historiography of analytic philosophy, accompanied by a detailed chronology and bibliography. Part One elucidates the origins of analytic philosophy, with special emphasis on the work of Frege, Russell, Moore, and Wittgenstein. Part Two explains the development of analytic philosophy, from Oxford realism and logical positivism to the most recent work in analytic philosophy, and includes essays on ethics, aesthetics, and political philosophy as well as on the areas usually seen as central to analytic philosophy, such as philosophy of language and mind. Part Three explores certain key themes in the history of analytic philosophy.
Download or read book The Once and Future Turing written by S. Barry Cooper and published by Cambridge University Press. This book was released on 2016-03-24 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.
Download or read book Publications 1929 1936 written by Kurt Gödel and published by . This book was released on 1986 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Morality and Mathematics written by Justin Clarke-Doane and published by Oxford University Press. This book was released on 2020-03-12 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to being empirically justified than our moral beliefs. It is also incorrect that reflection on the genealogy of our moral beliefs establishes a lack of parity between the cases. In general, if one is a moral antirealist on the basis of epistemological considerations, then one ought to be a mathematical antirealist as well. And, yet, Clarke-Doane shows that moral realism and mathematical realism do not stand or fall together — and for a surprising reason. Moral questions, insofar as they are practical, are objective in a sense that mathematical questions are not, and the sense in which they are objective can only be explained by assuming practical anti-realism. One upshot of the discussion is that the concepts of realism and objectivity, which are widely identified, are actually in tension. Another is that the objective questions in the neighborhood of factual areas like logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.
Download or read book Andrzej Mostowski and Foundational Studies written by Andrzej Mostowski and published by IOS Press. This book was released on 2008 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrzej Mostowski was one of the leading 20th century logicians. This volume examines his legacy, devoted both to his scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. It includes the bibliography of Mostowski's writings.
Download or read book Philosophy of Meaning Knowledge and Value in the 20th Century written by John V. Canfield and published by Routledge. This book was released on 2016-03-31 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century brought enormous change to subjects such as language, metaphysics, ethics and epistemology. This volume covers the major developments in these areas and more.
Download or read book Philosophy of Meaning Knowledge and Value in the Twentieth Century written by John Canfield and published by Routledge. This book was released on 2012-10-12 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 10 of the Routledge History of Philosophy presents a historical survey of the central topics in twentieth century Anglo-American philosophy. It chronicles what has been termed the 'linguistic turn' in analytic philosophy and traces the influence the study of language has had on the main problems of philosophy. Each chapter contains an extensive bibliography of the major writings in the field. All the essays present their large and complex topics in a clear and well organised way. At the end, the reader finds a helpful Chronology of the major political, scientific and philosophical events in the Twentieth Century and an extensive Glossary of technical terms.
Download or read book Philosophical Papers written by David Lewis and published by Oxford University Press. This book was released on 1983-06-23 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of fifteen selected papers dealing with a variety of topics in ontology, philosophy of mind, and philosophy of language.
Download or read book The Nature of Scientific Theory written by Lawrence Sklar and published by Routledge. This book was released on 2014-06-23 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the Series Contemporary philosophy of science combines a general study from a philosophical perspective of the methods of science, with an inquiry, again from the philosophical point of view, into foundational issues that arise in the various special sciences. Methodological philosophy of science has deep connections with issues at the center of pure philosophy. It makes use of important results, for example, in traditional epistemology, metaphysics and the philosophy of language. It also connects in various ways with other disciplines such as the history and sociology of the sciences, with pure logic, and with such branches of mathematics as probability theory. These volumes are, for the most part, devoted to readings in the methodological aspects of the philosophy of science. One volume, however, takes up the philosophical issues in the foundations of a particularly important special science, that is the issues in the foundations of theories of contemporary physics. The methodological volumes cover a number of crucial general problem areas. The first volume takes up issues in the nature of scientific explanation, and the related issues of the nature of scientific law and of the casual relation among events. The second volume explores issues in the nature and structure of scientific theories. The third volume collects inquiries into the nature of scientific change, as one theory is replaced by another. Volume four is devoted to readings concerning the nature of probability and the nature and justification of inductive reasoning in science. The following volume continues the exploration of the issue of confirming and rejecting theories with a series of readings devoted to Bayesian methodologies in science and to the exploration of non-inductive strategies for rationalizing belief. Finally, volume six explores three major problem areas in the foundation of physics: the nature and rationale for physical theories of space and time; the interpretive problems arising out of the quantum theory; and some puzzles arising out of statistical mechanical theories of physics. The readings are selected and arranged to provide the user with systematic access to the most important contemporary themes in methodological philosophy of science and in philosophy of physics. The selections include many recent contributions to the field, as well as papers and extracts from books and journals otherwise not easily available.
Download or read book E W Beth Memorial Colloquium written by J.L. Destouches and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peu aprt!s la mort d'E. W. Beth, j'ai pu organiser a Paris, a l'Institut Henri Poincare, un Colloque a sa memoire. Je suis heureux qu'aujourd'hui les Actes de ce Colloque soient publies en un volume qui materialise l'hom mage que ses amis, collegues et eleves ont voulu lui rendre. Ce Colloque international qui groupait des specialistes de nationalites diverses appartenant a de nombreuses disciplines, a fait ressortir la ri chesse et la portee de l'oeuvre d'E. W. Beth et Ie rayonnement de sa personnalite. Que Madame Beth veuille bien trouver ici l'hommage que no us adres sons tous a la memoire de son mario C'est grace aux soins de la Maison d'edition D. Reidel que ce volume a pu etre realise sous une forme digne de celui que no us voulons honorer. Paris, mai 1967 J.-L. DES TOUCHES v TABLE OF CONTENTS Preface, by Jean-Louis Destouches v G.H. VON WRIGHT / Memorial Address 1 J.-L. DES TOUCHES / Allocution 2 A. HEYTING / Remarques sur la theorie intuitionniste des espaces lineaires 4 K.L. DE BOUVERE / Some Remarks about Synonymity and the Theorem of Beth 10 J.J.F. NIELAND / Beth's Tableau-Method 19 MARCEL GUILLAUME / Quelques remarques sur les "Tableaux de Beth" 39 ROLAND FRAisSE / Une hypothese sur I'extension des relations finies et sa verification dans certaines classes particulieres (deuxieme partie) 46 J.J.A.
