关于对称性的四个方面的思考：物理学如何使理性思维简单化
Reflections on the four facets of symmetry: how physics exemplifies rational thinking
摘要：
在当代理论物理学中，强有力的对称性概念代表了一个错综复杂的意义网络，其中我确定了与变换、理解、不变性和投影概念相关的四个集群。虽然他们的相互关系进行了仔细检查，这四个方面的对称性仔细审查一个接一个非常详细。这种分解使我们能够仔细研究对称性在物理学中许多地方所扮演的多种不同角色。此外，与其他学科，如神经生物学，认识论，认知科学，尤其是哲学的一些连接，试图表明对称性也可以在这些领域的组织原则。
英文摘要：
In contemporary theoretical physics, the powerful notion of symmetry stands for a web of intricate meanings among which I identify four clusters associated with the notion of transformation, comprehension, invariance and projection. While their interrelations are examined closely, these four facets of symmetry are scrutinised one after the other in great detail. This decomposition allows us to examine closely the multiple different roles symmetry plays in many places in physics. Furthermore, some connections with others disciplines like neurobiology, epistemology, cognitive sciences and, not least, philosophy are proposed in an attempt to show that symmetry can be an organising principle also in these fields.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
