From Mathematics to Philosophy

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From Mathematics to Philosophy

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ISBN: 9781138687790
作者: Hao Wang
出版社: Routledge
发行时间: 1974
装订: Paperback
页数: 440

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从数学到哲学

Hao Wang   

简介

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

contents

Preface
A note on the text
Introduction
I. Mathematical logic and philosophy of mathematics
II. Characterization of general mathematical concepts
III. Russel's logic and some general issues
IV. Logical truth
V. Metalogic
VI. The concept of set
VII. Theory and practice in mathematics
VIII. Necessity, analyticity, and apriority
IX. Mathematics and computers
X. Mind and machines
XI. Note on knowledge and life
XII. Themes and approaches

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