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・ Weyl equation
・ Weyl group
・ Weyl integral
・ Weyl law
・ Weyl metrics
・ Weyl module
・ Weyl scalar
・ Weyl semimetal
・ Weyl tensor
・ Weyl transformation
・ Weyl's inequality
・ Weyl's lemma (Laplace equation)
・ Weyl's postulate
・ Weyl's theorem
・ Weyl's theorem on complete reducibility
Weyl's tile argument
・ Weylan Harding
・ Weyland
・ Weyland ringtail possum
・ Weylin Hotel
・ Weyl–Brauer matrices
・ Weyl–Schouten theorem
・ Weyl–von Neumann theorem
・ Weyl−Lewis−Papapetrou coordinates
・ Weyman
・ Weyman Airpark
・ Weyman Bouchery
・ Weymann 66
・ Weymann Fabric Bodies
・ Weymann W-1


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Weyl's tile argument : ウィキペディア英語版
Weyl's tile argument
In philosophy, the Weyl's tile argument (named after Hermann Weyl) is an argument against the idea of a physical discrete space (where all the distances are multiples of some constant minimum value), by questioning its concept of distance. It says that it is impossible to define a distance function satisfying Pythagoras' theorem (or even, satisfying it only approximately) on a discrete space, and that since it has been verified that the theorem is at least approximately true in nature, physical space can not be discrete. Solutions to Weyl's argument (i.e. arguing that a discrete physical space is not impossible) have already been proposed in the literature.〔(【引用サイトリンク】title=Finitism in Geometry (Stanford Encyclopedia of Philosophy) )
==References==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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