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论数学真理观的后现代转向
引用本文:黄秦安. 论数学真理观的后现代转向[J]. 南京大学学报(哲学.人文科学.社会科学 ), 2003, 40(5)
作者姓名:黄秦安
作者单位:南京大学,哲学系,南京,210093
摘    要:在数学思想、内容与方法的历史性变革过程中,数学真理的现代性开始发生转向,逐步表现出一些后现代特征:数学真理从追求形而上学的目标与价值转向追求相对的、多样化的理论构建;数学真理是一个具有不同层次性和等级结构的开放体系;数学真理超越了自然真理的范畴,开始生长出一种新维度——可选择性;形式化与非形式化都是获得数学真理的有效手段。

关 键 词:数学真理  后现代转向  哥德尔定理  形式化  非形式化

The Postmodern Turn of the View on Mathematic Truth
HUANG Qin-an. The Postmodern Turn of the View on Mathematic Truth[J]. Journal of Nanjing University(Philosophy, Humanities and Social Sciences), 2003, 40(5)
Authors:HUANG Qin-an
Abstract:In the historical evolution of mathematic thought, content and method, math-ematic truth has assumed some postmodern characteristics. The targets of the pursuit of mathematic truth have changed from the objectives and values of metaphysics to the relative and varied theoretical constructions. Mathematic truth is an open system with different levels and frameworks. It has transcended the scope of natural truth and has generated a new dimension, i. e. , selectivity. Both formalization and non-formalization are effective means of acquiring mathematic truth.
Keywords:mathematic truth  postmodern turn  Godel theorem  formalization  non-tor- malization  
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