The Nature of Mathematical Knowledge pdf epub mobi txt 电子书下载 2025

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出版者:Oxford University Press, USA

作者:Philip Kitcher

出品人:

页数:300

译者:

出版时间:1985-02-07

价格:USD 29.95

装帧:Paperback

isbn号码:9780195035414

丛书系列:

图书标签:

数学哲学
数学
哲学
mathematical knowledge
philosophy
of mathematics
science
history
logic
education
theorem

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具体描述

This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.

作者简介

目录信息

Title ......Page 3
Copyright ......Page 4
Dedication ......Page 5
Preface ......Page 7
Acknowledgments ......Page 9
Contents ......Page 11
Introduction ......Page 15
1 Epistemological Preliminaries ......Page 25
2 The Apriorist Program ......Page 48
3 Mathematical Intuition ......Page 61
4 Conceptualism ......Page 77
5 Toward a Defensible Empiricism ......Page 100
6 Mathematical Reality ......Page 113
7 Mathematical Change and Scientific Change ......Page 161
8 Mathematical Changes ......Page 190
9 Patterns of Mathematical Change ......Page 205
10 The Development of Analysis: A Case Study ......Page 241
Bibliography ......Page 284
Index ......Page 293
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