Much recent work on mathematical explanation has presupposed that the phenomenon involves explanatory proofs in an essential way. I argue that this view, ‘proof chauvinism’, is false. I then look in some detail at the explanation of the solvability of polynomial equations provided by Galois theory, which has often been thought to revolve around an explanatory proof. The article concludes with some general worries about the effects of chauvinism on the theory of mathematical explanation. 1. Introduction2. Why I Am Not a Proof Chauvinist 2.1. Proof chauvinism and mathematical practice2.2. Proof chauvinism and philosophy3. An Example: Galois Theory and Explanatory Proof4. Conclusion Introduction Why I Am Not a Proof Chauvinist 2.1. Proof chauvinism and mathematical practice2.2. Proof chauvinism and philosophy Proof chauvinism and mathematical practice Proof chauvinism and philosophy An Example: Galois Theory and Explanatory Proof Conclusion

中文翻译：

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超越证明的数学解释

最近关于数学解释的许多工作都预设了这种现象在本质上涉及解释性证明。我认为这种“证明沙文主义”的观点是错误的。然后，我详细研究了伽罗瓦理论提供的多项式方程可解性的解释，该理论通常被认为是围绕一个解释性证明展开的。文章最后对沙文主义对数学解释理论的影响提出了一些普遍的担忧。1. 介绍 2. 为什么我不是一个证明沙文主义者 2.1。证明沙文主义和数学实践2.2。证明沙文主义和哲学3。一个例子：伽罗瓦理论和解释性证明4。结论 介绍 为什么我不是一个证明沙文主义者 2.1。证明沙文主义和数学实践2.2。