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Freges Detour
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Download or read book Frege's Detour written by John Perry and published by Oxford University Press. This book was released on 2019-10-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Perry offers a rethinking of Gottlob Frege's seminal contributions to philosophy of language. Frege's innovations provided the basis of modern logic, but his influence in other areas should not be understated. For instance, the view that he developed in "On Sense and Reference", the most studied essay in the philosophy of language, dominated twentieth-century work in the field and continues to be very influential. Perry explains and charts the development of Frege's views in this area, and argues that his doctrine of indirect reference directed philosophy of language on a long detour from which only now can we emerge. Perry advocates a move away from indirect reference and presents an alternative framework which does not require the abandoning of circumstances in the references of sentences.
Download or read book Frege's Detour written by John Perry and published by Oxford University Press. This book was released on 2019-10-10 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Perry offers a rethinking of Gottlob Frege's seminal contributions to philosophy of language. Frege's innovations provided the basis of modern logic, but his influence in other areas should not be understated. For instance, the view that he developed in "On Sense and Reference", the most studied essay in the philosophy of language, dominated twentieth-century work in the field and continues to be very influential. Perry explains and charts the development of Frege's views in this area, and argues that his doctrine of indirect reference directed philosophy of language on a long detour from which only now can we emerge. Perry advocates a move away from indirect reference and presents an alternative framework which does not require the abandoning of circumstances in the references of sentences.
Book Synopsis Contingent A Priori Truths by : Marco Ruffino
Download or read book Contingent A Priori Truths written by Marco Ruffino and published by Springer Nature. This book was released on 2022-02-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a comprehensive study of contingent a priori truths. Building onto a theoretical framework developed by the philosopher and logician Saul Kripke, the author also presents a new approach to these truths. The first part of the book details the many theories on contingent a priori truths. The coverage examines the cases of Kripke and David Kaplan, Donnellan and the de re requirement, Evans and weak contingency, as well as Plantinga, Salmon, Soames, and the pseudo a priori. Overall, it provides a systematic discussion and critical review of all these many positions. Next, the author develops an alternative approach. His working hypothesis is that performative verbs must play a central role in Kripke’s examples, even if they do not show up at the surface structure of the corresponding sentences. This opens up an entirely new way of looking at Kripke’s cases and of treating them by exploring some aspects of the theory of illocutionary acts. His discussion also examines brute facts and institutional facts, indexicals and performatives, as well as Frege’s theory of definitions. Providing an authoritative exploration into contingent a priori truths, this book will be of interest to students, academics, and researchers in philosophy and logic.
Book Synopsis From Mathematics to Philosophy (Routledge Revivals) by : Hao Wang
Download or read book From Mathematics to Philosophy (Routledge Revivals) written by Hao Wang and published by Routledge. This book was released on 2016-06-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essays on Frege's Basic Laws of Arithmetic by : Philip A. Ebert
Download or read book Essays on Frege's Basic Laws of Arithmetic written by Philip A. Ebert and published by . This book was released on 2019-09-05 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic which appeared in two volumes in 1893 and 1903. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Lawsof Arithmetic, and demonstrate the technical and philosophical richness of the work. Their original contributions make vivid the importance of this magnum opus not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.
Book Synopsis The History of Philosophical and Formal Logic by : Alex Malpass
Download or read book The History of Philosophical and Formal Logic written by Alex Malpass and published by Bloomsbury Publishing. This book was released on 2017-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.
Book Synopsis The Foundations of Frege's Logic by : Pavel Tichy
Download or read book The Foundations of Frege's Logic written by Pavel Tichy and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Gottlob Frege: Frege's philosophy of mathematics by : Michael Beaney
Download or read book Gottlob Frege: Frege's philosophy of mathematics written by Michael Beaney and published by Taylor & Francis. This book was released on 2005 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.
Book Synopsis Logicism, Intuitionism, and Formalism by : Sten Lindström
Download or read book Logicism, Intuitionism, and Formalism written by Sten Lindström and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
Download or read book Edmund Husserl written by Dermot Moran and published by John Wiley & Sons. This book was released on 2013-05-02 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dermot Moran provides a lucid, engaging, and critical introduction to Edmund Husserl's philosophy, with specific emphasis on his development of phenomenology. This book is a comprehensive guide to Husserl's thought from its origins in nineteenth-century concerns with the nature of scientific knowledge and with psychologism, through his breakthrough discovery of phenomenology and his elucidation of the phenomenological method, to the late analyses of culture and the life-world. Husserl's complex ideas are presented in a clear and expert manner. Individual chapters explore Husserl's key texts including Philosophy of Arithmetic, Logical Investigations, Ideas I, Cartesian Meditations and Crisis of the European Sciences. In addition, Moran offers penetrating criticisms and evaluations of Husserl's achievement, including the contribution of his phenomenology to current philosophical debates concerning consciousness and the mind. Edmund Husserl is an invaluable guide to understanding the thought of one of the seminal thinkers of the twentieth century. It will be helpful to students of contemporary philosophy, and to those interested in scientific, literary and cultural studies on the European continent.
Download or read book Frege written by Michael Dummett and published by Harvard University Press. This book was released on 1981 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one has figured more prominently in the study of German philosopher Gottlob Frege than Michael Dummett. This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of analytic philosophy. Frege: Philosophy of Language remains indispensable for an understanding of contemporary philosophy. Harvard University Press is pleased to reissue this classic book in paperback.
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.
Book Synopsis From Frege to Wittgenstein by : Erich H. Reck
Download or read book From Frege to Wittgenstein written by Erich H. Reck and published by Oxford University Press. This book was released on 2001-12-20 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic philosophy--arguably one of the most important philosophical movements in the twentieth century--has gained a new historical self-consciousness, particularly about its own origins. Between 1880 and 1930, the most important work of its founding figures (Frege, Russell, Moore, Wittgenstein) not only gained attention but flourished. In this collection, fifteen previously unpublished essays explore different facets of this period, with an emphasis on the vital intellectual relationship between Frege and the early Wittgenstein.
Book Synopsis From Frege to Gödel by : Jean van Heijenoort
Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 2002-01-15 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege’s Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory. Frege’s book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim’s theorem, and he and Fraenkel amend Zermelo’s axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter’s famous incompleteness paper. Of the forty-five contributions here collected all but five are presented in extenso. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.
Book Synopsis Logic's Lost Genius by : Eckart Menzler-Trott
Download or read book Logic's Lost Genius written by Eckart Menzler-Trott and published by American Mathematical Soc.. This book was released on 2016-05-05 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Book Synopsis Helmholtz, Cohen, and Frege on Progress and Fidelity by : Teri Merrick
Download or read book Helmholtz, Cohen, and Frege on Progress and Fidelity written by Teri Merrick and published by Springer Nature. This book was released on 2020-10-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the views of Hermann Helmholtz, Hermann Cohen and Gottlob Frege in reaction to the epistemic crises induced by rapid changes in 19th century scientific practice. Besides addressing longstanding interpretive puzzles of interest to Frege scholars, the book extracts precepts for rationally responding to paradigm shifts in scientific and religious traditions. Cohen’s work in particular is held up as an example of wisely navigating epistemic and hermeneutical crises in science and religion. The book will appeal to philosophers and historians of science or religion, especially to those concerned with the epistemic challenges posed by Kuhn’s The Structure of Scientific Revolutions.
Book Synopsis A Mathematical Prelude to the Philosophy of Mathematics by : Stephen Pollard
Download or read book A Mathematical Prelude to the Philosophy of Mathematics written by Stephen Pollard and published by Springer. This book was released on 2014-05-12 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to recreate some mathematics that will illuminate important readings in philosophy of mathematics. Topics include primitive recursive arithmetic, Peano arithmetic, Gödel's theorems, interpretability, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. The book is intended for readers who understand basic properties of the natural and real numbers and have some background in formal logic.
