Fixing Frege

Author : John P. Burgess
Publisher : Princeton University Press
Page : 270 pages
File Size : 50,9 Mb
Release : 2018-06-05
Category : Philosophy
ISBN : 9780691187068

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Fixing Frege by John P. Burgess Pdf

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.

Author : Joan Weiner
Publisher : Oxford University Press, USA
Page : 346 pages
File Size : 43,8 Mb
Release : 2021-01-10
Category : Philosophy
ISBN : 9780198865476

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Taking Frege at His Word by Joan Weiner Pdf

This study offers a new interpretation of the writings of Gottlob Frege. It advances our understanding of the history of analytic philosophy, and shows that Frege's writings have important significance for the way we should approach contemporary problems concerning language, logic, and mathematics.

Author : Philip A. Ebert,Marcus Rossberg
Publisher : Oxford University Press
Page : 672 pages
File Size : 49,6 Mb
Release : 2019-09-11
Category : Philosophy
ISBN : 9780191020056

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Essays on Frege's Basic Laws of Arithmetic by Philip A. Ebert,Marcus Rossberg Pdf

The volume is the first collection of essays that focuses on Gottlob Frege's Basic Laws of Arithmetic (1893/1903), highlighting both the technical and the philosophical richness of Frege's magnum opus. It brings together twenty-two renowned Frege scholars whose contributions discuss a wide range of topics arising from both volumes of Basic Laws of Arithmetic. The original chapters in this volume make vivid the importance and originality of Frege's masterpiece, not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.

Author : Michael Beaney,Erich H. Reck
Publisher : Taylor & Francis
Page : 424 pages
File Size : 42,7 Mb
Release : 2005
Category : Philosophy
ISBN : 0415306043

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Gottlob Frege: Frege's philosophy of mathematics by Michael Beaney,Erich H. Reck Pdf

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.

Author : Dale Jacquette
Publisher : Cambridge University Press
Page : 683 pages
File Size : 45,5 Mb
Release : 2019-04-04
Category : Biography & Autobiography
ISBN : 9780521863278

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Frege by Dale Jacquette Pdf

A rich and informative biography of one of the most important and influential figures of analytic philosophy.

Author : Richard G. Heck
Publisher : OUP Oxford
Page : 336 pages
File Size : 44,5 Mb
Release : 2011-09-29
Category : Philosophy
ISBN : 9780191619656

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Frege's Theorem by Richard G. Heck Pdf

Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy. The Theorem is the central contribution of Gottlob Frege's formal work on arithmetic. It tells us that the axioms of arithmetic can be derived, purely logically, from a single principle: the number of these things is the same as the number of those things just in case these can be matched up one-to-one with those. But that principle seems so utterly fundamental to thought about number that it might almost count as a definition of number. If so, Frege's Theorem shows that arithmetic follows, purely logically, from a near definition. As Crispin Wright was the first to make clear, that means that Frege's logicism, long thought dead, might yet be viable. Heck probes the philosophical significance of the Theorem, using it to launch and then guide a wide-ranging exploration of historical, philosophical, and technical issues in the philosophy of mathematics and logic, and of their connections with metaphysics, epistemology, the philosophy of language and mind, and even developmental psychology. The book begins with an overview that introduces the Theorem and the issues surrounding it, and explores how the essays that follow contribute to our understanding of those issues. There are also new postscripts to five of the essays, which discuss changes of mind, respond to published criticisms, and advance the discussion yet further.

Author : Pieranna Garavaso,Nicla Vassallo
Publisher : Lexington Books
Page : 140 pages
File Size : 44,9 Mb
Release : 2014-11-12
Category : Philosophy
ISBN : 9780739178393

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Frege on Thinking and Its Epistemic Significance by Pieranna Garavaso,Nicla Vassallo Pdf

Pieranna Garavaso and Nicla Vassallo investigate Gottlob Frege's notion of thinking (das Denken) to provide a new analysis of a largely unexplored area of the philosopher's work. Confronting Frege's deeply seated and widely emphasized anti-psychologism, Frege on Thinking and Its Epistemic Significance claims that the objective human science that Frege proposed can only be possible through a nuanced notion of thinking as neither merely psychological nor merely logical. Focusing on what Frege says about thinking in many passages from his works, Garavaso and Vassallo argue that Frege was engaged with issues that are still alive in contemporary debates, such as the definition of knowledge and the necessary role of language in conceptual thinking and in the expression of thoughts. Frege on Thinking and Its Epistemic Significance is essential not only for those interested in a new and original reading of Frege’s philosophy, but also for anyone engaged in epistemology, logic, psychology, philosophy of language, and the history of analytic philosophy.

Author : Tom Ricketts,Michael Potter
Publisher : Cambridge University Press
Page : 128 pages
File Size : 45,8 Mb
Release : 2010-09-02
Category : Philosophy
ISBN : 9781139825788

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The Cambridge Companion to Frege by Tom Ricketts,Michael Potter Pdf

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.

Author : Richard G. Heck
Publisher : Oxford University Press on Demand
Page : 315 pages
File Size : 40,8 Mb
Release : 2012-11-29
Category : Mathematics
ISBN : 9780199233700

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Reading Frege's Grundgesetze by Richard G. Heck Pdf

Readership: Scholars and advanced students of philosophy of logic, philosophy of mathematics, and history of analytic philosophy

Author : Gottlob Frege
Publisher : Unknown
Page : 683 pages
File Size : 53,9 Mb
Release : 2013-10
Category : Mathematics
ISBN : 9780199281749

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Gottlob Frege: Basic Laws of Arithmetic by Gottlob Frege Pdf

This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.

Author : Stephen Biggs,Heimir Geirsson
Publisher : Routledge
Page : 601 pages
File Size : 42,5 Mb
Release : 2020-12-23
Category : Language Arts & Disciplines
ISBN : 9781000226768

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The Routledge Handbook of Linguistic Reference by Stephen Biggs,Heimir Geirsson Pdf

This Handbook offers students and more advanced readers a valuable resource for understanding linguistic reference; the relation between an expression (word, phrase, sentence) and what that expression is about. The volume’s forty-one original chapters, written by many of today’s leading philosophers of language, are organized into ten parts: I Early Descriptive Theories II Causal Theories of Reference III Causal Theories and Cognitive Significance IV Alternate Theories V Two-Dimensional Semantics VI Natural Kind Terms and Rigidity VII The Empty Case VIII Singular (De Re) Thoughts IX Indexicals X Epistemology of Reference Contributions consider what kinds of expressions actually refer (names, general terms, indexicals, empty terms, sentences), what referring expressions refer to, what makes an expression refer to whatever it does, connections between meaning and reference, and how we know facts about reference. Many contributions also develop connections between linguistic reference and issues in metaphysics, epistemology, philosophy of mind, and philosophy of science.

Author : Manuel Garcia-Carpintero,Josep Macià
Publisher : Oxford University Press on Demand
Page : 364 pages
File Size : 54,8 Mb
Release : 2006-04-06
Category : Language Arts & Disciplines
ISBN : 9780199271955

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Two-Dimensional Semantics by Manuel Garcia-Carpintero,Josep Macià Pdf

According to two-dimensional semantics, the meaning of an expression involves two different "dimensions": one dimension involves reference and truth-conditions of a familiar sort, while the other dimension involves the way that reference and truth-conditions depend on the external world (for example, reference and truth-conditions might be held to depend on which individuals and substances are present in the world, or on which linguistic conventions are in place). A number ofdifferent two-dimensional frameworks have been developed, and these have been applied to a number of fundamental problems in philosophy: the nature of communication, the relation between the necessary and the a priori, the role of context in assertion, Frege's distinction between sense and reference, thecontents of thought, and the mind-body problem.Manuel Garcia-Carpintero and Josep Macia present a selection of new essays by an outstanding international team, shedding fresh light both on foundational issues regarding two-dimensional semantics and on its specific applications. The volume will be the starting-point for future work on this approach to issues in philosophy of language, epistemology, and metaphysics.

Author : Alexander Miller
Publisher : Oxford University Press, USA
Page : 465 pages
File Size : 45,6 Mb
Release : 2020-03-19
Category : Mathematics
ISBN : 9780199278343

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Logic, Language, and Mathematics by Alexander Miller Pdf

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;

Author : JURE ZOVKO (ED.)
Publisher : Unknown
Page : 154 pages
File Size : 47,6 Mb
Release : 2020
Category : Electronic
ISBN : 9783643962713

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IDENTITY? METAPHYSICAL APPROACH by JURE ZOVKO (ED.) Pdf

Author : Jure Zovko
Publisher : LIT Verlag Münster
Page : 160 pages
File Size : 54,9 Mb
Release : 2021-01-25
Category : Electronic
ISBN : 9783643912718

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Identity? Metaphysical Approach by Jure Zovko Pdf

Identity is considered prima facie the most important philosophical principle in traditional logic and metaphysics. The reflexive ability of the subject implies that he or she can relate to himself or herself and to others, thus establishing the basis for the formation of individual and social identity. The present essays, which contains papers held at the conference of the "Institut International de Philosophie" at the University of Zadar, in 2007, present a range of positions and arguments regarding the possibilities of philosophical interpretation of identity.