Metcalf's law is not suggesting "The value of the network to any random node within the network." Because that measure is very subjective in the ways you say.
Instead, it's "The total value of the network to all nodes". Because the more people in the network, the higher the probability that the nodes you DO care about are also connected.
Metcalf's law is not suggesting "The value of the network to any random node within the network." Because that measure is very subjective in the ways you say.
Instead, it's "The total value of the network to all nodes". Because the more people in the network, the higher the probability that the nodes you DO care about are also connected.