'How has the Internet changed the way you think?' It hasn't.
Western culture has always been about networks: look at Clytemnestra's 'beacon telegraph' speech in the Oresteia, or the relay-system of oracles and crytpic signals Oedipus has to navigate. Look at Schreber's vision of wires and nerves, or Kafka and Rilke's visions of giant switchboards linking mortals to (and simultaneously denying them access to the source-code of) gods and angels. Or the writings of Heidegger, or Derrida: meshes, relays, endless transmission. The Internet reifies a logic that was always already there.