论文标题
对称是否“解释”保护法？现代匡威定理与实用主义
Do symmetries "explain" conservation laws? The modern converse Noether theorem vs pragmatism
论文作者
论文摘要
Noether的第一个定理并未建立从对称性到保护定律的单向解释性箭头，但是在物理和哲学文献中的定理讨论中广泛假设了这种箭头。在这里认为，即使没有严格地证明解释性优先事项是合理的，也有务实的理由。为此，对于为什么Noether的直接定理似乎比其相反的更为知名和利用，引起了一些实际因素，特别注意有时是Noether Converse结果的性质以及由于1979年的LuisMartíneneAlonso而引起的增强版本，并在1986年和Peter Olver引起了增强版本。
Noether's first theorem does not establish a one-way explanatory arrow from symmetries to conservation laws, but such an arrow is widely assumed in discussions of the theorem in the physics and philosophy literature. It is argued here that there are pragmatic reasons for privileging symmetries, even if they do not strictly justify explanatory priority. To this end, some practical factors are adduced as to why Noether's direct theorem seems to be more well-known and exploited than its converse, with special attention being given to the sometimes overlooked nature of Noether's converse result and to its strengthened version due to Luis Martínez Alonso in 1979 and Peter Olver in 1986.
