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.
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: These essays apply the core conceptual innovation underlying Frege's theory of number to the general analysis of theoretical knowledge.
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.
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 277 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.
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.
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.
Download or read book Philosophies of Mathematics written by Alexander L. George and published by Wiley-Blackwell. This book was released on 2001-12-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
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.
Download or read book On Theories written by William Demopoulos and published by Harvard University Press. This book was released on 2022-02-15 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned philosopher’s 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 Newton’s suspicion of mere “hypotheses.” Newton’s methodology lies in the background of Jean Perrin’s 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 Bell’s empirical analysis of Einstein’s “local realism.” On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.
Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1218 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
Download or read book What Are Philosophical Systems written by Jules Vuillemin and published by Cambridge University Press. This book was released on 1986-07-31 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a learned and ingenious attempt to understand the origin and nature of philosophical inquiry. It draws on material from numerous disciplines and from all periods of philosophy and provides challenging arguments on a wide range of topics. The author constructs a hierarchy of ontological claims, beginning with perceptual experience, moving to language and science. He traces subtle and unexpected relations among these and concludes by offering a system for classifying philosophical theories which reveals why they take the form they do and why philosophical dispute is ineradicable. The book offers many fresh insights into such topics as the nature of experience, the nature of language and that of philosophy itself. It will interest a wide range of philosophers, in particular those concerned with categorical schemes, grammar and ontology.
Download or read book Ramsey s Legacy written by Hallvard Lillehammer and published by Oxford University Press on Demand. This book was released on 2005-07-28 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge philosopher Frank Ramsey (1903-1930) died tragically young, but had already established himself as one of the most brilliant minds of the twentieth century. Besides groundbreaking work in philosophy, particularly in logic, language, and metaphysics, he created modern decision theory and made substantial contributions to mathematics and economics. In these original essays, written to commemorate the centenary of Ramsey's birth, a distinguished international team ofcontributors offer fresh perspectives on his work and show how relevant it is to present-day concerns.Each of the ten essays addresses fundamental and contentious issues, including success semantics, propositions, infinity, conditionals, conceptual analysis, decision theory, and intergenerational justice. They also shed light on the intellectual context in which Ramsey developed his thought, including his relationship with such leading thinkers as John Maynard Keynes, Bertrand Russell, and Ludwig Wittgenstein. The volume will be indispensable reading for anyone interested in the recent historyof philosophy and economics, as well as for practitioners and students of logic, metaphysics, philosophy of mathematics, philosophy of science, philosophy of mind, decision theory, and welfare economics.
Download or read book Russell written by and published by . This book was released on 2017 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Relevant Logic written by Edwin D. Mares and published by Cambridge University Press. This book was released on 2004-02-26 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.
Download or read book Origins and Varieties of Logicism written by Francesca Boccuni and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Sorites Paradox written by Sergi Oms and published by Cambridge University Press. This book was released on 2019-10-10 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.
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.
