In my view, 1 is a definition, though not a very exact one, I understand, as the Internet is meant to refer specifically to the network of networks that use Transfer Control Protocol and its cousin, Internet Protocol, or TCP/IP (basically a method of dividing transmissions into packets that arrive independently by their own routes).
The second isn't actually a definition, so it's not a metaphorical definition either. It is a judgment of the consequences of the existence of the internet.
Not sure if that's too pedantic, but I'm trying.
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