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Weyl's tile argument


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In philosophy, the Weyl's tile argument is an argument against the notion that physical space is discrete, or composed of a number of finite sized units. The argument purports to show a distance function approximating Pythagoras' theorem on a discrete space cannot be defined and, since the Pythagorean theorem has been confirmed to be approximately true in nature, physical space is not discrete. While academic debate continues, counterarguments have been proposed in the literature.
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