哲学社会科学版
陕西师范大学学报(哲学社会科学版)
哲学研究
数学证明:“元叙事”之解构与其诠释学意义
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黄 秦 安
(陕西师范大学 数学与信息科学学院, 陕西 西安 710119)
黄秦安,男,陕西西安人,哲学博士,陕西师范大学数学与信息科学学院教授,博士研究生导师。
摘要:
数学证明是一种其意义和性质处于不断变化之中的辩证的和多元的具有数学共同体约定色彩的特殊科学叙事。在数学证明中并不存在置于一切数学知识之上的“元叙事”模式。数学证明并不是从严格前提到严格结论的纯粹逻辑链构成的坚如磐石的完美文本。作为数学知识合法性、存在性与真理性的一种验核方式,数学证明是一种包含直觉与经验因素在内的“拟逻辑结构”。数学证明具有在逻辑性和形式化语言之外极为丰富认识论、方法论价值和文本修辞学与诠释学意义。作为一种特殊的科学叙事,数学证明还显现了知识的相对独立性、真理的相对客观性、方法的自足性与局部性等异于普通叙事的独特学科特征。
关键词:
数学证明; 元叙事; 拟逻辑; 文本修辞性; 诠释学; 科学叙事
收稿日期:
2018-10-15
中图分类号:
O1-0
文献标识码:
A
文章编号:
1672-4283(2019)04-0149-08
基金项目:
Doi:
Mathematical Proof: the Deconstruction of “Metanarrative” and Its Hermeneutic Significance
HUANG Qinan
(School of Mathematics, Shaanxi Normal University, Xi’an 710119, Shaanxi)
Abstract:
Mathematical proof is a special narrative of the mathematical community in which its meaning and nature was changing constantly, according to dialectical and pluralistic standards. In mathematical proof, there does not exist “metanarrative” patterns which can be placed above all mathematical knowledge. Mathematical proof is not a perfect text of pure logic chain from rigorous presupposition to strict conclusion. As an explanation of the validity, beingness and truthfulness of mathematical knowledge, mathematical knowledge is a “pseudologic structure” which includes intuition and experience elements. Mathematical knowledge has plentiful epistemological and methodological value and text rhetoric and hermeneutical significance beyond logicality and formalized language. As a special science narrative, mathematical proof has showed unique discipline characteristics different from ordinary narratives mainly reflected in its relative independence of knowledge and relative objectivity of truth and selfsufficiency of method.
KeyWords:
mathematical proof; metanarrative; pseudologic; text rhetoric; hermeneutics; science narratives