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Dimensionality, symmetry and the Inverse Square Law
Notes and Records ( IF 0.4 ) Pub Date : 2020-04-01 , DOI: 10.1098/rsnr.2019.0044
Dimitria Electra Gatzia 1 , Rex D. Ramsier 2
Affiliation  

Kant suggested that Newton's Inverse Square Law (ISL) determines the dimensions of space to be three. Much has been written in the philosophical literature about Kant's suggestion, including specific arguments attempting to link the ISL to three-dimensionality. In this article, we explore one such argument and demonstrate that it fails to support the link Kant purports to make between the ISL and the three-dimensionality of space. At best, the link that can be made is between the ISL and symmetry.



中文翻译:

维数、对称性和平方反比定律

康德建议牛顿的平方反比定律 (ISL) 将空间的维度确定为三。在关于康德建议的哲学文献中已经写了很多,包括试图将 ISL 与三维度联系起来的具体论点。在本文中,我们探讨了一个这样的论点,并证明它不能支持康德声称在 ISL 和空间三维之间建立的联系。充其量,可以建立的联系是在 ISL 和对称性之间。

更新日期:2020-04-01
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