摘要
以经典力学中拉格朗日力学和哈密顿力学的结构分析为例,文章通过二者数学上同构的建立,揭示数学结构是物理学结构的必要前提和基础。运用范畴结构主义的本体论特征,尝试突破结构实在论的困境,为结构实在论做出辩护。
By exemplifying analyses of the structures of Lagrangian mechanics and Hamiltonian mechanics in classical mechanics,the relations between the structure of physics and the structure of mathematics are shown in essence by finding their isomorphism in mathematics. On this basis,it is further clarified that mathematical isomorphism is the necessary premise and basis of physics structure;moreover,according to the ontological characteristics of categorical structuralism,this paper breaks through the predicament of structural realism and makes a defense for it.
作者
刘杰
赵丹
LIU Jie;ZHAO Dan(Research Center for Philosophy of Science and Technology,Shanxi University,Taiyuan 030006,China)
出处
《自然辩证法研究》
CSSCI
北大核心
2019年第9期10-16,共7页
Studies in Dialectics of Nature
基金
教育部重点研究基地重大项目(11JJD720011)
山西省高等学校中青年拔尖创新人才支持计划(2017052001)
关键词
物理学结构
数学结构
经典力学
范畴论
范畴结构主义
the structure of physics
mathematical structure
classical mechanics
category theory
categorical structuralism