工具与文化之间的数学品格——模式观的数学本体论下对数学意义的探索  

Mathematical Character Between the Instrument and Culture: The Exploration of Mathematical Significance from the Concept of Patterned Mathematical Ontology

作　　者：李奕娜[1] 刘同舫[1] 

机构地区：[1]华南师范大学政治与行政学院,广东广州510631

出　　处：《自然辩证法通讯》2013年第1期82-86,128,共5页Journal of Dialectics of Nature

基　　金：教育部人文社会科学规划项目(12YJA710046);广东省哲学社会科学规划项目(GD11CMK05)

摘　　要：数学是通过逻辑建构模式并以模式为对象进行研究的科学。这种数学模式观扬弃了数学本体论中的实在论与反实在论的极端主义哲学理解,充分肯定了数学的抽象性与客观性。在模式观的数学本体论视野下,数学兼具工具与文化两种品格。数学无形地渗透在科学的每个分支里,为其提供必要的工具;数学是理性精神的化身,深刻地影响着人们的观念、精神以及思维方式的养成。Mathematics is the science of pattern study, and the pattern is formed with logical construction. The concept of pattern abandons the extremely philosophical comprehension of realism and anti-realism. It fully affirms the abstraction and objectivity of mathematics. Based on the concept of patterned mathematical ontology, mathematics includes instrumental character and cultural character. Mathematics penetrates in every branch of science, and provides the necessary instrument for them. It is the incarnation of the rational spirit, and profoundly affects the cultivation of people’s concepts, spirit and way of thinking.

关 键 词：数学模式观 数学本体论 工具品格 文化品格 

分 类 号：N031[自然科学总论—科学技术哲学]