Philosophies of Mathematics - George, Alexander

Philosophies of Mathematics

Alexander George

Yayınevi: Blackwell

Yayın tarihi: 12/2001

ISBN: 9780631195443

Yazar : DANIEL VELLEMAN

İngilizce | 256 Sayfa |

Tür: Bilgi Felsefesi

  • Temin Süresi 28 - 42 iş günü

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During the first few decades of the 20th 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 a 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 text aims to provide an accessible, critical introduction to these three projects as it describes and investigates both their philosophical and their mathematical components.

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