Philosophies of Mathematics
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Publication
2001-11-01 - Blackwell Publishing Limited
Language
English
Word Count
60,000 words, Guess
Page Count
240 pages
Identifiers
- Open LibraryOL7609330M
- ISBN-139780631195443
- ISBN-100631195440
- OCLC Control Number47126782
- OCLC Control Numberphilosophiesmath00geor
and 3 more
- Library of Congress Control Number2001037590
- Goodreads2218327
- LibraryThing387731
Classifications
- LCCQA8.4.G46 2002
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."--BOOK JACKET.
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.
First Sentence
The links between philosophy and mathematics are ancient and complex.
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