Frege Explained

Frege Explained
Title Frege Explained PDF eBook
Author Joan Weiner
Publisher Open Court
Pages 198
Release 2011-04-15
Genre Philosophy
ISBN 0812697529

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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.

Frege

Frege
Title Frege PDF eBook
Author Michael Dummett
Publisher Harvard University Press
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.

The Philosophy of Gottlob Frege

The Philosophy of Gottlob Frege
Title The Philosophy of Gottlob Frege PDF eBook
Author Richard L. Mendelsohn
Publisher Cambridge University Press
Pages 260
Release 2005-01-10
Genre Philosophy
ISBN 9781139444033

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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.

Frege's Philosophy of Mathematics

Frege's Philosophy of Mathematics
Title Frege's Philosophy of Mathematics PDF eBook
Author William Demopoulos
Publisher Harvard University Press
Pages 492
Release 1995
Genre Mathematics
ISBN 9780674319424

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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.

Deleuze, Bergson, Merleau-Ponty

Deleuze, Bergson, Merleau-Ponty
Title Deleuze, Bergson, Merleau-Ponty PDF eBook
Author Dorothea E. Olkowski
Publisher Indiana University Press
Pages 169
Release 2021-09-07
Genre Philosophy
ISBN 0253054729

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Deleuze, Bergson, Merleau-Ponty: The Logic and Pragmatics of Creation, Affective Life, and Perception offers the only full-length examination of the relationships between Deleuze, Bergson and Merleau-Ponty. Henri Bergson (1859–1941), Maurice Merleau-Ponty (1908-1961), and Gilles Deleuze (1925–1995) succeeded one another as leading voices in French philosophy over a span of 136 years. Their relationship to one another's work involved far more than their overlapping lifetimes. Bergson became both the source of philosophical insight and a focus of criticism for Merleau-Ponty and Deleuze. Deleuze criticized Merleau-Ponty's phenomenology as well as his interest in cognitive and natural science. Author Dorothea Olkowski points out that each of these philosophers situated their thought in relation to their understandings of crucial developments and theories taken up in the history and philosophy of science, and this has been difficult for Continental philosophy to grasp. She articulates the differences between these philosophers with respect to their disparate approaches to the physical sciences and with how their views of science function in relation to their larger philosophical projects. In Deleuze, Bergson, Merleau-Ponty, Olkowski examines the critical areas of the structure of time and memory, the structure of consciousness, and the question of humans' relation to nature. She reveals that these philosophers are working from inside one another's ideas and are making strong claims about time, consciousness, reality, and their effects on humanity that converge and diverge. The result is a clearer picture of the intertwined workings of Continental philosophy and its fundamental engagement with the sciences.

Frege

Frege
Title Frege PDF eBook
Author Dale Jacquette
Publisher Cambridge University Press
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: A Guide for the Perplexed

Frege: A Guide for the Perplexed
Title Frege: A Guide for the Perplexed PDF eBook
Author Edward Kanterian
Publisher A&C Black
Pages 116
Release 2012-05-31
Genre Philosophy
ISBN 1441102922

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Gottlob Frege (1848-1925) was one of the founders of analytical philosophy and the greatest innovator in logic since Aristotle. He introduced many influential philosophical ideas, such as the distinctions between function and argument, or between sense and reference. However, his thought is not readily accessible to the non- expert. His conception of logic, which was crucial to his grand project, the reduction of arithmetic to logic, is especially difficult to grasp. This book provides a lucid and critical introduction to Frege's logic, as he developed it in his groundbreaking first book Begriffsschrift (Conceptual Notation, 1879). It guides the reader directly to the core of Frege's philosophy, and to some of the most pertinent issues in contemporary philosophy of language, logic, mathematics, and mind. Unlike most other books, this commentary explains Frege's own logical notation, allowing students to study and appreciate those aspects of his work that he valued most but are least understood today.