"After patch 2.0.1 goes live, any Paragon experience you gain on your Normal or Hardcore heroes will contribute to your account's Normal Shared Paragon level or Hardcore Shared Paragon level, respectively."
This is from Battlenet regarding paragon leveling in RoS. The link is here: http://us.battle.net/d3/en/blog/13020718/reaper-of-souls™-first-look-paragon-20-2-21-2014
So if console will be like PC, which we assume it will, then they will be separate and not shared.
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Before ros, Each PC character had their own paragon, ie monk paragon 12, wizzy paragon 15. But for console they made it so the paragons were shared between characters. Of course hardcore an softcore were always separate. I think that's what he was referring to?