Logicism And Its Philosophical Legacy

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Logicism and its Philosophical Legacy

Author : William Demopoulos
Publisher : Cambridge University Press
ISBN 13 : 1139620290
Total Pages : 285 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Logicism and its Philosophical Legacy by : William Demopoulos

Download or read book Logicism and its Philosophical Legacy written by William Demopoulos and published by Cambridge University Press. This book was released on 2013-01-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject - Frege, Russell, Ramsey and Carnap - and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints.

Origins and Varieties of Logicism

Author : Francesca Boccuni
Publisher : Taylor & Francis
ISBN 13 : 1000508110
Total Pages : 419 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Origins and Varieties of Logicism by : Francesca Boccuni

Download or read book Origins and Varieties of Logicism written by Francesca Boccuni and published by Taylor & Francis. This book was released on 2021-11-29 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.

Origins and Varieties of Logicism

Author : Francesca Boccuni
Publisher : Routledge
ISBN 13 : 9780429277894
Total Pages : 406 pages
Book Rating : 4.2/5 (778 download)

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Book Synopsis Origins and Varieties of Logicism by : Francesca Boccuni

Download or read book Origins and Varieties of Logicism written by Francesca Boccuni and published by Routledge. This book was released on 2021-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics--neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition--which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.

On Theories

Author : William Demopoulos
Publisher : Harvard University Press
ISBN 13 : 0674237579
Total Pages : 273 pages
Book Rating : 4.6/5 (742 download)

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Book Synopsis On Theories by : William Demopoulos

Download or read book On Theories written by William Demopoulos and published by Harvard University Press. This book was released on 2021-12-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned philosopherÕs final work, illuminating how the logical empiricist tradition has failed to appreciate the role of actual experiments in forming its philosophy of science. The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics. In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory comes apart from evidence. This trouble is nowhere more evident than in theorizing about particle and quantum physics. Arguing that we must consider actual experiments as they have unfolded across history, Demopoulos provides a new epistemology of theories and evidence, albeit one that stands on the shoulders of giants. On Theories finds clarity in Isaac NewtonÕs suspicion of mere Òhypotheses.Ó NewtonÕs methodology lies in the background of Jean PerrinÕs experimental investigations of molecular reality and of the subatomic investigations of J. J. Thomson and Robert Millikan. Demopoulos extends this account to offer novel insights into the distinctive nature of quantum reality, where a logico-mathematical reconstruction of Bohrian complementarity meets John Stewart BellÕs empirical analysis of EinsteinÕs Òlocal realism.Ó On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.

Philosophy of Logic

Author :
Publisher : Elsevier
ISBN 13 : 008046663X
Total Pages : 1219 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Philosophy of Logic by :

Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Frege's Philosophy of Mathematics

Author : William Demopoulos
Publisher : Harvard University Press
ISBN 13 : 9780674319424
Total Pages : 492 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Frege's Philosophy of Mathematics by : William Demopoulos

Download or read book Frege's Philosophy of Mathematics written by William Demopoulos and published by Harvard University Press. This book was released on 1995 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.

The Old New Logic

Author : David S. Oderberg
Publisher : MIT Press
ISBN 13 : 9780262651066
Total Pages : 260 pages
Book Rating : 4.6/5 (51 download)

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Book Synopsis The Old New Logic by : David S. Oderberg

Download or read book The Old New Logic written by David S. Oderberg and published by MIT Press. This book was released on 2005 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A diverse group of contributors reflect on the philosophical legacy of Fred Sommers and his efforts to revive and refashion traditional Aristotelian logic for a post-Fregean world.

The Rise of Analytic Philosophy, 1879–1930

Author : Michael Potter
Publisher : Routledge
ISBN 13 : 1317689704
Total Pages : 610 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis The Rise of Analytic Philosophy, 1879–1930 by : Michael Potter

Download or read book The Rise of Analytic Philosophy, 1879–1930 written by Michael Potter and published by Routledge. This book was released on 2019-10-08 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Michael Potter offers a fresh and compelling portrait of the birth of modern analytic philosophy, viewed through the lens of a detailed study of the work of the four philosophers who contributed most to shaping it: Gottlob Frege, Bertrand Russell, Ludwig Wittgenstein, and Frank Ramsey. It covers the remarkable period of discovery that began with the publication of Frege's Begriffsschrift in 1879 and ended with Ramsey's death in 1930. Potter—one of the most influential scholars of this period in philosophy—presents a deep but accessible account of the break with absolute idealism and neo-Kantianism, and the emergence of approaches that exploited the newly discovered methods in logic. Like his subjects, Potter focusses principally on philosophical logic, philosophy of mathematics, and metaphysics, but he also discusses epistemology, meta-ethics, and the philosophy of language. The book is an essential starting point for any student attempting to understand the work of Frege, Russell, Wittgenstein, and Ramsey, as well as their interactions and their larger intellectual milieux. It will also be of interest to anyone who wants to cast light on current philosophical problems through a better understanding of their origins.

Logic as Universal Science

Author : A. Korhonen
Publisher : Springer
ISBN 13 : 1137304855
Total Pages : 288 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis Logic as Universal Science by : A. Korhonen

Download or read book Logic as Universal Science written by A. Korhonen and published by Springer. This book was released on 2013-02-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic as Universal Science offers a detailed reconstruction of the underlying philosophy in The Principles of Mathematics showing how Russell sought to deliver a death blow to the dominant Kantian view that formal logic is a concise and dry science and unable to enlarge our understanding.

Frege's Philosophy of Mathematics

Author : William Demopoulos
Publisher :
ISBN 13 : 9780674319431
Total Pages : 0 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Frege's Philosophy of Mathematics by : William Demopoulos

Download or read book Frege's Philosophy of Mathematics written by William Demopoulos and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.

The Logic in Philosophy of Science

Author : Hans Halvorson
Publisher : Cambridge University Press
ISBN 13 : 1107110998
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Logic in Philosophy of Science by : Hans Halvorson

Download or read book The Logic in Philosophy of Science written by Hans Halvorson and published by Cambridge University Press. This book was released on 2019-07-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Historical Turn in Analytic Philosophy

Author : E. Reck
Publisher : Springer
ISBN 13 : 1137304871
Total Pages : 367 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis The Historical Turn in Analytic Philosophy by : E. Reck

Download or read book The Historical Turn in Analytic Philosophy written by E. Reck and published by Springer. This book was released on 2013-03-27 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last 25 years, a large number of publications on the history of analytic philosophy have appeared, significantly more than in the preceding period. As most of these works are by analytically trained authors, it is tempting to speak of a 'historical turn' in analytic philosophy. The present volume constitutes both a contribution to this body of work and a reflection on what is, or might be, achieved in it. The twelve new essays, by an international group of contributors, range from case studies on individual philosophers (Russell, Carnap, Quine, and Ryle) through discussions of broader themes in the history of analytic philosophy (in logic and philosophy of language, philosophy of mathematics, epistemology, philosophy of mind and psychology) to related methodological reflections (on the relationship between doing analytic philosophy and studying the history of philosophy, on various forms of philosophical history, and on their respective benefits).

Forms of Thought

Author : E. J. Lowe
Publisher : Cambridge University Press
ISBN 13 : 1107001250
Total Pages : 227 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Forms of Thought by : E. J. Lowe

Download or read book Forms of Thought written by E. J. Lowe and published by Cambridge University Press. This book was released on 2013-04-11 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lowe investigates the forms of thought, showing how this study is crucial to understanding the powers of the intellect.

Conscious Experience

Author : Anil Gupta
Publisher : Harvard University Press
ISBN 13 : 0674239598
Total Pages : 440 pages
Book Rating : 4.6/5 (742 download)

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Book Synopsis Conscious Experience by : Anil Gupta

Download or read book Conscious Experience written by Anil Gupta and published by Harvard University Press. This book was released on 2019-02-11 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: How, theorists ask, can our private experiences guide us to knowledge of a mind-independent reality? Exploring topics in logic, philosophy of mind, and epistemology, Anil Gupta proposes a new answer to this age-old question, explaining how conscious experience contributes to the rationality and content of empirical beliefs.

Logic, Language, and Mathematics

Author : Alexander Miller
Publisher : Oxford University Press, USA
ISBN 13 : 0199278342
Total Pages : 465 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Logic, Language, and Mathematics by : Alexander Miller

Download or read book Logic, Language, and Mathematics written by Alexander Miller and published by Oxford University Press, USA. This book was released on 2020-03-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crispin Wright is widely recognised as one of the most important and influential analytic philosophers of the twentieth and twenty-first centuries. This volume is a collective exploration of the major themes of his work in philosophy of language, philosophical logic, and philosophy of mathematics. It comprises specially written chapters by a group of internationally renowned thinkers, as well as four substantial responses from Wright. In these thematically organized replies, Wright summarizes his life's work and responds to the contributory essays collected in this book. In bringing together such scholarship, the present volume testifies to both the enormous interest in Wright's thought and the continued relevance of Wright's seminal contributions in analytic philosophy for present-day debates;

The Philosophical Legacy of Jorge J. E. Gracia

Author : Robert A. Delfino
Publisher : Rowman & Littlefield
ISBN 13 : 1538149613
Total Pages : 351 pages
Book Rating : 4.5/5 (381 download)

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Book Synopsis The Philosophical Legacy of Jorge J. E. Gracia by : Robert A. Delfino

Download or read book The Philosophical Legacy of Jorge J. E. Gracia written by Robert A. Delfino and published by Rowman & Littlefield. This book was released on 2022-01-31 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fleeing Cuba in 1961, Jorge J. E. Gracia arrived in the USA at the age of nineteen without family and unable to speak English. Ten years later he was assistant professor of philosophy at the State University of New York at Buffalo. Over the next 50 years Gracia published dozens of books and hundreds of articles, making major contributions to numerous areas of philosophy: Latin American philosophy, race and ethnicity, Medieval philosophy, philosophical historiography, metaphysics and ontology, and theory of interpretation. This book is a critical response to Gracia’s work and a tribute to his legacy. It includes a comprehensive bibliography of Gracia’s philosophical works.