Frege's Conception of Logic

Author: Patricia Blanchette

Publisher: OUP USA

ISBN: 0199891613

Category: Mathematics

Page: 190

View: 743

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.

Essays on Frege's Conception of Truth

Author: Dirk Greimann

Publisher: Rodopi

ISBN: 904202156X

Category: Language Arts & Disciplines

Page: 236

View: 3936

In his writings on the foundations of logic, Gottlob Frege, the father of modern logic, sketched a conception of truth that focuses on the following questions: What is the sense of the word “true”? Is truth a definable concept or a primitive one? What are the kinds of things of which truth is predicated? What is the role of the concept of truth in judgment, assertion and recognition? What is the logical category of truth? What is the significance of the concept of truth for science in general and for logic in particular? The present volume is dedicated to the interpretation, reconstruction and critical assessment of Frege's conception of truth. It is of interest to all those working on Frege, the history of logic and semantics, or theories of truth. The volume brings together nine original papers whose authors are all widely known to Frege scholars. The main topics are: the role of the concept of truth in Frege's system, the nature of the truth-values, the logical category of truth, the relationship between truth and judgment, and the conception of the truth-bearers.

Gottlob Frege: Frege's philosophy of logic

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306034


Page: 417

View: 6951

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.

Future Pasts

The Analytic Tradition in Twentieth-Century Philosophy

Author: Juliet Floyd,Sanford Shieh

Publisher: Oxford University Press

ISBN: 9780198031888

Category: Philosophy

Page: 480

View: 7841

This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing elements of the analytic tradition. Drawing together a venerable group of contributors, including John Rawls and Hilary Putnam, this volume explores the historical contexts in which analytic philosophers have worked, revealing multiple discontinuities and misunderstandings as well as a complex interaction between science and philosophical reflection.

Gottlob Frege: Frege's philosophy in context

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306027


Page: 424

View: 7801

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.

Recht und Frieden in der Philosophie Kants

Akten des X. Internationalen Kant-Kongresses

Author: Kant-Gesellschaft e.V.

Publisher: Walter de Gruyter

ISBN: 3110210347

Category: Philosophy

Page: 3617

View: 6724

The five volumes contain the main papers and lectures of invited speakers that were presented at the X. International Kant Congress in Sao Paolo in 2005.

Frege's Logic

Author: Danielle MACBETH,Danielle Macbeth

Publisher: Harvard University Press

ISBN: 0674040392

Category: Philosophy

Page: 218

View: 7175

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.

Quantification: Transcending Beyond Frege’s Boundaries

A Case Study In Transcendental-Metaphysical Logic

Author: Aleksy Molczanow

Publisher: BRILL

ISBN: 9004222693

Category: Philosophy

Page: 231

View: 7174

Drawing on the original conception of Kant’s synthetic a priori and the relevant related developments in philosophy, this book presents a reconstruction of the intellectual history of the conception of quantity and offers an entirely novel transcendental-metaphysical account of quantification.

The Cambridge Companion to Frege

Author: Tom Ricketts,Michael Potter

Publisher: Cambridge University Press

ISBN: 113982578X

Category: Philosophy

Page: N.A

View: 4494

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.

Frege&s lectures on logic

Author: Gottlob Frege,Rudolf Carnap,Erich H. Reck,Steve Awodey,Gottfried Gabriel

Publisher: Open Court Publishing

ISBN: 9780812695465

Category: Biography & Autobiography

Page: 170

View: 1814

Gottlob Frege (1848-1925) is known as the father of analytic philosophy and the founder of modern logic. In 1902, just when the publication of Frege’s logical system was nearing completion, Bertrand Russell discovered a famous contradiction in it, which Frege was never able to repair. This disaster overshadowed the remaining years of Frege’s life, and he became increasingly bitter that the larger worlds of mathematics and philosophy had failed to recognize his achievements. During these later years, Rudolf Carnap (1891-1970), soon to become the philosophical leader of the Vienna Circle and of logical empiricism, was a student of Frege’s at the University of Jena, and took detailed and accurate shorthand notes on three courses he took with Frege. These notes, the only surviving record of Frege’s lectures, are reproduced here in their original German, with facing translations, detailed commentary, as well as an introduction by Gottfried Gabriel, the leading German Frege scholar. They reveal how Frege sought to shore up his logical system in the face of Russell’s contradiction, and how he integrated his later doctrine of sense and reference into his exposition of logic. They also offer unique insight into Frege’s influence on Carnap.

Frege Explained

Author: Joan Weiner

Publisher: Open Court

ISBN: 0812697529

Category: Philosophy

Page: 176

View: 3437

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.

Two Soviet Studies on Frege

Translated from the Russian and edited by Ignacio Angelelli

Author: B.V. Birjukov

Publisher: Springer Science & Business Media

ISBN: 940103611X

Category: Social Science

Page: 102

View: 1190

1 The significance of the two papers by B. V. Birjukov on Frege within Soviet studies on logic and its history is indicated by G. 1. Ruzavin and P. V. Tavanec in their article 'Fundamental Periods in the Evolution of Formal Logic' in the collective volume Philo 2 sophical Questions of Contemporary Formal Logic. There (page 18) while the organization of "systematic studies on history of logic" is proposed as "one of the fundamental tasks for Marxist logicians", reference is made to a series of recent publications which suggest that such a task is already being accomplished. These are A. S. 3 Axmanov's The Logical Doctrine of Aristotle , v. F. Asmus' 'Criticism of the Bourgeois Idealist Logical Doctrine in the Era of Imperia lism'4, in Voprosy Logiki (Logical Questions), P. S. Popov's A 5 History of Modern Logic and B. V. Birjukov's 'G. Frege's Theory of Sense' in the collective work Applications of Logic in Science and 6 Technology. In this book, published by the Academy of Sciences of the USSR, Moscow, in a printing of 10 000 copies, Birjukov's article fills 56 pages. Before this one, however, Birjukov published another study on Frege: 'On Frege's Works on Philosophical Problems of Mathe matics' in the collective volume Philosophical Questions of Natural Sciences 7, published in a printing of 8000 copies by the Moscow University Press. This article fills 45 pages.

Philosophie und Logik

Frege-Kolloquien, Jena, 1989/1991

Author: Werner Stelzner

Publisher: Walter de Gruyter

ISBN: 9783110140699

Category: Analysis (Philosophy)

Page: 422

View: 3942


The Foundations of Arithmetic

A Logico-Mathematical Enquiry Into the Concept of Number

Author: Gottlob Frege,J. L. Austin

Publisher: Northwestern University Press

ISBN: 0810106051

Category: Mathematics

Page: 119

View: 4985

The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

The Realm of Reason

Author: Christopher Peacocke

Publisher: Clarendon Press

ISBN: 0191533742

Category: Philosophy

Page: 294

View: 9159

The Realm of Reason develops a new, general theory of what it is for a thinker to be entitled to form a given belief. The theory locates entitlement in the nexus of relations between truth, content, and understanding. Peacocke formulates three principles of rationalism that articulate this conception. The principles imply that all entitlement has a component that is justificationally independent of experience. The resulting position is thus a form of rationalism, generalized to all kinds of content. To show how these principles are realized in specific domains, Peacocke applies the theory in detail to several classical problems of philosophy, including the nature of perceptual entitlement, induction, and the status of moral thought. These discussions involve an elaboration of the structure of entitlement in ways that have applications in many other areas of philosophy. He also relates the theory to classical and recent rationalist thought, and to current issues in the theory of meaning, reference and explanation. In the course of these discussions, he proposes a general theory of the a priori. The focus of the work lies in the intersection of epistemology, metaphysics, and the theory of meaning, and will be of interest both to students and researchers in these areas, and to anyone concerned with the idea of rationality.


Author: Hans Vaihinger,Max Scheler,Bruno Bauch,Max Frischeisen-Köhler,Arthur Liebert,Paul Menzer

Publisher: N.A



Page: N.A

View: 8600

1904-26 (includes lists of members)