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From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s

Editat de Paolo Mancosu
en Limba Engleză Paperback – sep 1997
From Brouwer To Hilbert: The Debate on the Foundations of Mathematics in the 1920s offers the first comprehensive introduction to the most exciting period in the foundation of mathematics in the twentieth century. The 1920s witnessed the seminal foundational work of Hilbert and Bernays in
proof theory, Brouwer's refinement of intuitionistic mathematics, and Weyl's predicativist approach to the foundations of analysis. This impressive collection makes available the first English translations of twenty-five central articles by these important contributors and many others. The articles
have been translated for the first time from Dutch, French, and German, and the volume is divided into four sections devoted to (1) Brouwer, (2) Weyl, (3) Bernays and Hilbert, and (4) the emergence of intuitionistic logic. Each section opens with an introduction which provides the necessary
historical and technical context for understanding the articles. Although most contemporary work in this field takes its start from the groundbreaking contributions of these major figures, a good, scholarly introduction to the area was not available until now. Unique and accessible, From Brouwer To
Hilbert will serve as an ideal text for undergraduate and graduate courses in the philosophy of mathematics, and will also be an invaluable resource for philosophers, mathematicians, and interested non-specialists.
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Specificații

ISBN-13: 9780195096323
ISBN-10: 0195096320
Pagini: 352
Ilustrații: line figures
Dimensiuni: 155 x 234 x 19 mm
Greutate: 0.45 kg
Ediția:UK
Editura: OXFORD UNIV PR
Locul publicării:New York, United States

Descriere

Most contemporary work in the foundations of mathematics takes its start from the groundbreaking contributions of, among others, Hilbert, Brouwer, Bernays, and Weyl. This book offers an introduction to the debate on the foundations of mathematics during the 1920s and presents the English reader with a selection of twenty five articles central to the debate which have not been previously translated. It is an ideal text for undergraduate and graduate courses in thephilosophy of mathematics.

Recenzii

The first book-compiled by Mancosu-contains a collection of important essays (together with four instructive introductions) which have been directive in the foundation and philopsophy of mathematics in the twentieth century. ...selection of the relevant essays is so cicumspect and complete, that one gets a profound and detailed impression of this short but unique debate on the proper foundations of mathematics. Ulrich Majer, John von Neumann and the Foundations of Quantum Physics2000