In this paper, I attempt to describe Mark Burgin’s results in non-Diophantine mathematics, which are important for the foundation of mathematics and its application in quantum field theory. In particular, the elimination of divergences in quantum electrodynamics is described.

中文翻译：

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马克·伯金对数学基础的贡献

在本文中，我试图描述马克·布尔金在非丢番图数学方面的成果，这些成果对于数学基础及其在量子场论中的应用具有重要意义。特别是描述了量子电动力学中发散的消除。