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Full Idea
For the relationist, if Archytas goes to the edge of space and extends his arm, he is creating a new spatial relation between objects, and thus extending space, which is, after all, just the collection of thos relations.
Gist of Idea
For relationists moving an object beyond the edge of space creates new space
Source
Robin Le Poidevin (Travels in Four Dimensions [2003], 05 'beyond')
Book Ref
Le Poidevin,Robin: 'Travels in Four Dimensions' [OUP 2003], p.93
A Reaction
The obvious point is what are you moving your arm into? And how can some movements be in space, while others create new space? It's a bad theory.