From Frege to Gödel

From Frege to Gödel
Title From Frege to Gödel PDF eBook
Author Jean van Heijenoort
Publisher Harvard University Press
Total Pages 684
Release 1967
Genre Mathematics
ISBN 9780674324497

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Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.

Frege

Frege
Title Frege PDF eBook
Author Michael Dummett
Publisher Harvard University Press
Total Pages 364
Release 1991
Genre Mathematics
ISBN 9780674319356

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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.

The Foundations of Arithmetic

The Foundations of Arithmetic
Title The Foundations of Arithmetic PDF eBook
Author Gottlob Frege
Publisher John Wiley & Sons
Total Pages 146
Release 1980
Genre Mathematics
ISBN 0631126945

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A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.

Frege

Frege
Title Frege PDF eBook
Author Dale Jacquette
Publisher Cambridge University Press
Total Pages 684
Release 2019-04-04
Genre Philosophy
ISBN 1108365043

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Gottlob Frege (1848–1925) is one of the founding figures of analytic philosophy, whose contributions to logic, philosophical semantics, philosophy of language, and philosophy of mathematics set the agenda for future generations of theorists in these and related areas. Dale Jacquette's lively and incisive biography charts Frege's life from its beginnings in small-town north Germany, through his student days in Jena, to his development as an enduringly influential thinker. Along the way Jacquette considers Frege's ground-breaking Begriffschrift (1879), in which he formulated his 'ideal logical language', his magisterial Grundgesetze der Arithmetik (1893 and 1903), and his complex relation to thinkers including Husserl and especially Russell, whose Paradox had such drastic implications for Frege's logicism. Jacquette concludes with a thoughtful assessment of Frege's legacy. His rich and informative biography will appeal to all who are interested in Frege's philosophy.

Frege

Frege
Title Frege PDF eBook
Author Sir Anthony Kenny
Publisher Wiley-Blackwell
Total Pages 240
Release 2000-10-03
Genre Philosophy
ISBN 9780631222309

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Written by Anthony Kenny, a leading figure in contemporary philosophy, this volume guides the reader through a concise and accessible explanation and assessment of Frege's radical and lasting contributions to our understanding of language, meaning, and the foundations of arithmetic.

Conceptual Notation, and Related Articles

Conceptual Notation, and Related Articles
Title Conceptual Notation, and Related Articles PDF eBook
Author Gottlob Frege
Publisher Oxford Scholarly Classics
Total Pages 314
Release 1972
Genre Biography & Autobiography
ISBN

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This volume contains English translations of Frege's early writings in logic and philosophy and of relevant reviews by other leading logicians. Professor Bynum has contributed a biographical essay, introduction, and extensive bibliography. ong Copy

Frege

Frege
Title Frege PDF eBook
Author Michael Dummett
Publisher Harvard University Press
Total Pages 756
Release 1981
Genre Mathematics
ISBN 9780674319318

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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.