Leo's question about distance/philosophical issues underlying GR

Hi,

Accepting the premises of the OP, although my ontology is a different one, poses the following question. If we regard point A as an empty point in space and point B as another empty point in space, in what sense can we say that the distance AB has a value?

Any help will be apprecited.

I didn't find the right solution from the Internet.

References:
http://www.sciencechatforum.com/viewtopic.php?f=10&t=24858
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Thank you.