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Freges Lectures On Logic
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Book Synopsis Frege&s lectures on logic by : Gottlob Frege
Download or read book Frege&s lectures on logic written by Gottlob Frege and published by Open Court Publishing. This book was released on 2004 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "By looking at Frege's lectures on logic through the eyes of the young Carnap, this book casts new light on the history of logic and analytic philosophy. As two introductory essays by Gottfried Gabriel and by Erich H. Reck and Steve Awodey explain, Carnap's notes allow us to better understand Frege's deep influence on Carnap and analytic philosophy, as well as the broader philosophical matrix from which both continental and analytic styles of thought emerged in the 20th century."--BOOK JACKET.
Download or read book Frege's Logic written by Danielle MACBETH and published by Harvard University Press. This book was released on 2009-06-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many philosophers, modern philosophy begins in 1879 with the publication of Frege's Begriffsschrift, in which Frege presents the first truly modern logic in his symbolic language, Begriffsschrift, or concept-script. Macbeth's book, the first full-length study of this language, offers a highly original new reading of Frege's logic based directly on Frege's own two-dimensional notation and his various writings about logic.
Book Synopsis Frege and the Logic of Sense and Reference by : Kevin C. Klement
Download or read book Frege and the Logic of Sense and Reference written by Kevin C. Klement and published by Routledge. This book was released on 2017-09-25 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
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 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 logic by : Michael Beaney
Download or read book Gottlob Frege: Frege's philosophy of logic written by Michael Beaney and published by Taylor & Francis. This book was released on 2005 with total page 440 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 Frege's Conception of Logic by : Patricia A. Blanchette
Download or read book Frege's Conception of Logic written by Patricia A. Blanchette and published by Oxford University Press. This book was released on 2012-04-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic. She argues that the fruitfulness of Frege's conception of logic, and the illuminating differences between that conception and those more modern views that have largely supplanted it, are best understood against the backdrop of a clear account of the role of conceptual analysis in logical investigation. The first part of the book locates the role of conceptual analysis in Frege's logicist project. Blanchette argues that despite a number of difficulties, Frege's use of analysis in the service of logicism is a powerful and coherent tool. As a result of coming to grips with his use of that tool, we can see that there is, despite appearances, no conflict between Frege's intention to demonstrate the grounds of ordinary arithmetic and the fact that the numerals of his derived sentences fail to co-refer with ordinary numerals. In the second part of the book, Blanchette explores the resulting conception of logic itself, and some of the straightforward ways in which Frege's conception differs from its now-familiar descendants. In particular, Blanchette argues that consistency, as Frege understands it, differs significantly from the kind of consistency demonstrable via the construction of models. To appreciate this difference is to appreciate the extent to which Frege was right in his debate with Hilbert over consistency- and independence-proofs in geometry. For similar reasons, modern results such as the completeness of formal systems and the categoricity of theories do not have for Frege the same importance they are commonly taken to have by his post-Tarskian descendants. These differences, together with the coherence of Frege's position, provide reason for caution with respect to the appeal to formal systems and their properties in the treatment of fundamental logical properties and relations.
Download or read book Frege Explained written by Joan Weiner and published by Open Court. This book was released on 2011-04-15 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925). Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing how his thinking evolved through successive books and articles.
Download or read book Fixing Frege written by John P. Burgess and published by Princeton University Press. This book was released on 2018-06-05 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract mathematics. Over the past couple of decades, however, logicians and philosophers have discovered that much more is salvageable from the rubble of Frege's system than had previously been assumed. A variety of repaired systems have been proposed, each a consistent theory permitting the development of a significant portion of mathematics. This book surveys the assortment of methods put forth for fixing Frege's system, in an attempt to determine just how much of mathematics can be reconstructed in each. John Burgess considers every proposed fix, each with its distinctive philosophical advantages and drawbacks. These systems range from those barely able to reconstruct the rudiments of arithmetic to those that go well beyond the generally accepted axioms of set theory into the speculative realm of large cardinals. For the most part, Burgess finds that attempts to fix Frege do less than advertised to revive his system. This book will be the benchmark against which future analyses of the revival of Frege will be measured.
Book Synopsis Frege: Sense and Reference One Hundred Years Later by : John Biro
Download or read book Frege: Sense and Reference One Hundred Years Later written by John Biro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottlob Frege's Über Sinn und Bedeutung (`On Sense and Reference'), has come to be seen, in the century since its publication in 1892, as one of the seminal texts of analytic philosophy. It, along with the rest of Frege's writings on logic and mathematics, came to mark out a whole new domain of inquiry. This volume bears witness to the continuing importance and influence of that agenda. It contains original papers written by leading Frege scholars for the conference held in 1992 in Karlovy Vary to celebrate the publication of Frege's essay. The fourteen essays show how the questions Frege discusses in that essay connect intimately with issues much debated in current philosophy of language and philosophy of mind.
Download or read book Frege written by Michael Dummett and published by Harvard University Press. This book was released on 1991 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incorrectly argued or as untenable in the light of technical developments. Gottlob Frege (1848-1925) was a logician, mathematician, and philosopher whose work had enormous impact on Bertrand Russell and later on the young Ludwig Wittgenstein, making Frege one of the central influences on twentieth-century Anglo-American philosophy; he is considered the founder of analytic philosophy. His philosophy of mathematics contains deep insights and remains a useful and necessary point of departure for anyone seriously studying or working in the field.
Download or read book Frege written by Dale Jacquette and published by Cambridge University Press. This book was released on 2019-04-04 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rich and informative biography of one of the most important and influential figures of analytic philosophy.
Book Synopsis The Cambridge Companion to Frege by : Tom Ricketts
Download or read book The Cambridge Companion to Frege written by Tom Ricketts and published by Cambridge University Press. This book was released on 2010-09-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottlob Frege (1848–1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.
Book Synopsis Frege: A Guide for the Perplexed by : Edward Kanterian
Download or read book Frege: A Guide for the Perplexed written by Edward Kanterian and published by A&C Black. This book was released on 2012-05-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the thought and ideas of Gottlob Frege, one of the most important but also perplexing figures in the history of analytic philosophy.
Book Synopsis Aristotle's Syllogism and the Creation of Modern Logic by : Lukas M. Verburgt
Download or read book Aristotle's Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Book Synopsis The Philosophy of Gottlob Frege by : Richard L. Mendelsohn
Download or read book The Philosophy of Gottlob Frege written by Richard L. Mendelsohn and published by Cambridge University Press. This book was released on 2005-01-10 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This analysis of Frege's views on language and metaphysics in On Sense and Reference, arguably one of the most important philosophical essays of the past hundred years, provides a thorough introduction to the function/argument analysis and applies Frege's technique to the central notions of predication, identity, existence and truth. Of particular interest is the analysis of the Paradox of Identity and a discussion of three solutions: the little-known Begriffsschrift solution, the sense/reference solution, and Russell's 'On Denoting' solution. Russell's views wend their way through the work, serving as a foil to Frege. Appendices give the proofs of the first 68 propositions of Begriffsschrift in modern notation. This book will be of interest to students and professionals in philosophy and linguistics.
Book Synopsis The Rise of Modern Logic: from Leibniz to Frege by : Dov M. Gabbay
Download or read book The Rise of Modern Logic: from Leibniz to Frege written by Dov M. Gabbay and published by Elsevier. This book was released on 2004-03-08 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.
