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A mathematical prelude to the philosophy of mathematics

著者: Stephen Pollard
出版商: Cham : Springer, 2014.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics withoutdoing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give readers opportunities to  再读一些...
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类型/形式: Electronic books
附加的形体格式: Printed edition:
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Stephen Pollard
ISBN: 9783319058160 3319058169 3319058150 9783319058153
OCLC号码: 880689138
描述: 1 online resource (xi, 202 pages)
内容: Preface --
Chapter 1: Recursion, Induction --
Chapter 2: Peano Arithmetic, Incompleteness --
Chapter 3: Hereditarily Finite Lists --
Chapter 4: Zermelian Lists --
Chapter 5: The Hierarchy of Sets. Chapter 6: Frege Arithmetic --
Chapter 7: Intuitionist Logic --
Chapter 8. Solutions of Odd-Numbered Exercises --
Index.
责任: Stephen Pollard.

摘要:

This book draws readers into the philosophy of mathematics by having them do mathematics. Coverage includes primitive recursive arithmetic, Godel's theorems, the hierarchy of sets, Frege arithmetic  再读一些...

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From the book reviews: "The aim of the book is to give students opportunities to recreate some mathematics that will illuminate important readings in the philosophy of mathematics. ... The book 再读一些...

 
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