I don't think this started with the internet; the internet just made collective consciousness vastly more efficient. Just as information is processed algorithmically within the brain, information also passes from person to person via language, print, technological invention, etc.

We all want to believe that our consciousness is fully independent, but it's pretty hard to separate from our memetic history. Perhaps someday we'll be able to wire our brains together physically via wetware, and our philosophical questions about individually will take on a whole new level of complexity.