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Weyl's tile argument purports to show that there are no natural distancefunctions in atomistic space that approximate Euclidean geometry. I advance aresponse to this argument that relies on a new account of distance in atomisticspace, called \textit{the mixed account}, according to which \textit{localdistances} are primitive and other distances are derived from them. Under thisaccount, atomistic space can approximate Euclidean space (and continuous spacein general) very well. To motivate this account as a genuine solution to Weyl'stile argument, I argue that this account is no less natural than the standardaccount of distance in continuous space. I also argue that the mixed accounthas distinctive advantages over Forrest's (1995) account in response to Weyl'stile argument, which can be considered as a restricted version of the mixedaccount.

Intrinsic Local Distances: A Mixed Solution to Weyl's Tile Argument