“理论物理学”：走向数学和理论物理学的文化综合
``Theoretical mathematics'': Toward a cultural synthesis of mathematics and theoretical physics
摘要：
投机数学危险吗？最近物理学和数学之间的相互作用以某种力量提出了这个问题：传统的数学规范不鼓励投机，但它是理论物理学的结构。在实践中，可能有好处，但也可能有不愉快和破坏性的后果。需要非常谨慎，并且应该在明显损坏发生之前而不是之后考虑这个问题。在仔细考虑了这些危害之后，我们提出了一个框架，允许投机发挥健康和积极的作用。
英文摘要：
Is speculative mathematics dangerous? Recent interactions between physics and mathematics pose the question with some force: traditional mathematical norms discourage speculation, but it is the fabric of theoretical physics. In practice there can be benefits, but there can also be unpleasant and destructive consequences. Serious caution is required, and the issue should be considered before, rather than after, obvious damage occurs. With the hazards carefully in mind, we propose a framework that should allow a healthy and positive role for speculation.
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。
