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- catalog abstract ""During the first few decades of the twentieth century, philosophers and mathematicians mounted a sustained effort to clarify the nature of mathematics. This led to considerable discord, even enmity, and yielded fascinating and fruitful work of both a mathematical and philosophical nature. It was one of the most exhilarating intellectual adventures of the century, pursued at an extraordinarily high level of acuity and imagination. Its legacy principally consists of three original and finely articulated programs that seek to view mathematics in the proper light: logicism, intuitionism, and finitism. Each is notable for its symbiotic melding together of philosophical vision and mathematical work: the philosophical ideas are given their substance by specific mathematical developments, which are in turn given their point by philosophical reflection." "This book provides an accessible, critical introduction to these three projects, as it describes and investigates both their philosophical and their mathematical components."--Jacket.".
- catalog contributor b12697323.
- catalog contributor b12697324.
- catalog created "2002.".
- catalog date "2002".
- catalog date "2002.".
- catalog dateCopyrighted "2002.".
- catalog description ""During the first few decades of the twentieth century, philosophers and mathematicians mounted a sustained effort to clarify the nature of mathematics. This led to considerable discord, even enmity, and yielded fascinating and fruitful work of both a mathematical and philosophical nature. It was one of the most exhilarating intellectual adventures of the century, pursued at an extraordinarily high level of acuity and imagination. Its legacy principally consists of three original and finely articulated programs that seek to view mathematics in the proper light: logicism, intuitionism, and finitism. Each is notable for its symbiotic melding together of philosophical vision and mathematical work: the philosophical ideas are given their substance by specific mathematical developments, which are in turn given their point by philosophical reflection." "This book provides an accessible, critical introduction to these three projects, as it describes and investigates both their philosophical and their mathematical components."--Jacket.".
- catalog description "Includes bibliographical references (p. [221]-224) and index.".
- catalog description "Introduction -- 2 Logicism -- 3 Set Theory -- 4 Intuitionism -- 5 Intuitionistic Mathematics -- 6 Finitism -- 7 The Incompleteness Theorems -- 8 Coda.".
- catalog extent "viii, 230 p. :".
- catalog identifier "0631195432 (hardback : acid-free paper)".
- catalog identifier "0631195440 (paperback : acid-free paper)".
- catalog issued "2002".
- catalog issued "2002.".
- catalog language "eng".
- catalog publisher "Malden, Mass. : Blackwell Publishers,".
- catalog subject "510/.1 21".
- catalog subject "Mathematics Philosophy.".
- catalog subject "QA8.4 .G46 2002".
- catalog tableOfContents "Introduction -- 2 Logicism -- 3 Set Theory -- 4 Intuitionism -- 5 Intuitionistic Mathematics -- 6 Finitism -- 7 The Incompleteness Theorems -- 8 Coda.".
- catalog title "Philosophies of mathematics / Alexander George and Daniel J. Velleman.".
- catalog type "text".