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arXiv 2012.12030physics.hist-ph
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从理论间的范式和还原两个概念到新的多元物理学史

From the two notions of paradigm and reduction between theories to a new multilinear History of physics

Antonino Drago

摘要:

一种新的数学,即构造性数学,将奇异极限刻画为不可判定的。因此,两个理论之间的奇异极限实际上代表了两种不同数学之间的差异。这种特殊的情况表明了不可否认性概念的数学定义。由于许多理论之间的不相容性,物理学理论的基础是多元的,不仅在认识论和本体论意义上,而且在数学意义上。因此,长期以来物理学的物理学史是沿着一条多元线性的道路发展的。

英文摘要:

A new mathematics, the constructive one, characterizes a singular limit as undecidable. Hence, a singular limit between two theories actually represents a difference between two different kinds of mathematics. This particular situation suggests a mathematical definition of the notion of incommensurability. As a consequence of the resulting incommensurabilities among many couples of theories the foundations of physical theories are pluralist, not only in both epistemological and ontological senses, but also in mathematical sense. Hence since longtime the history of physics is developing along a plurilinear path.

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。

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