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Author: Mathieu Marion
Publisher: Oxford University Press
ISBN: 9780198235163
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject thanon any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in adisjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he alsodemonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Mathieu Marion
Publisher: Oxford University Press
ISBN: 9780198235163
Category : Mathematics
Languages : en
Pages : 290
Get Book Here
Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject thanon any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in adisjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he alsodemonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Mathieu Marion
Publisher: OUP Oxford
ISBN: 0191568325
Category : Philosophy
Languages : en
Pages : 272
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Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Ludwig Wittgenstein
Publisher:
ISBN: 9780262730174
Category : Mathematics
Languages : de
Pages : 204
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Book Description
Author: Pasquale Frascolla
Publisher: Routledge
ISBN: 1134974361
Category : Philosophy
Languages : en
Pages : 318
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Book Description
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Author: Pasquale Frascolla
Publisher: Routledge
ISBN: 113497437X
Category : Philosophy
Languages : en
Pages : 200
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Book Description
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Author: Charles F. Kielkopf
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111634558
Category : Language Arts & Disciplines
Languages : en
Pages : 196
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Book Description
Author: Hans-Johann Glock
Publisher: John Wiley & Sons
ISBN: 1118641167
Category : Philosophy
Languages : en
Pages : 805
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Book Description
A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein’s thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein’s contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein’s contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today’s philosophical debates, explaining Wittgenstein’s continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.
Author: Juliet Floyd
Publisher: Cambridge University Press
ISBN: 1108616534
Category : Science
Languages : en
Pages : 96
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Book Description
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Author: George W. Shields
Publisher: State University of New York Press
ISBN: 079148761X
Category : Philosophy
Languages : en
Pages : 274
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Book Description
Process and Analysis brings together an unprecedented collection of the world's leading contemporary process and analytic philosophers to explore philosophical topics of common interest. The contributors examine a wide variety of explicit and implicit commonalities and differences of approach to such central philosophical issues as the nature and status of events, time, space, relations, particulars, and God. This unique collection demonstrates that both traditions have important things to say to one another. In fact, a largely ignored conversation between the two traditions has been carried on since at least the days of Whitehead's influence on early Cambridge analytic philosophy. This long awaited volume is an invaluable research tool for scholars and students alike working in the areas of analytic and process philosophy.
Author: Severin Schroeder
Publisher: Routledge
ISBN: 100031829X
Category : Philosophy
Languages : en
Pages : 200
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Book Description
This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.
