Why the Weyl Tile Argument Is Wrong.
Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an i...
| Publicado en: | British Journal for the Philosophy of Science Vol. 76; no. 4; pp. 823 - 846 |
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| Formato: | Artículo |
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University of Chicago Press
Dec2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| Sumario: | Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an importantly flawed assumption in Weyl's argument: physical geometry is determined by fundamental spacetime structures independently from dynamical laws. In this article, I aim to show its falsity through two rigorous examples: random walks in statistical physics and quantum mechanics. |
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