Philosophies of Mathematics

Philosophies of Mathematics pdf epub mobi txt 电子书 下载 2025

出版者:Blackwell Pub
作者:George, Alexander/ Velleman, Daniel J.
出品人:
页数:240
译者:
出版时间:2001-12
价格:990.00元
装帧:HRD
isbn号码:9780631195436
丛书系列:
图书标签:
  • 哲学 
  • 逻辑学 
  • 数学的哲学 
  • 数学哲学 
  •  
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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 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 book provides an accessible, critical introduction to these three projects as it describes and investigates both their philosophical and their mathematical components. Solutions manual is available upon request.

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