There is nothing in any way undemocratic about providing people a chance to think again about an important decision. "Are you sure?" Is a perfectly reasonable question. It's even built into the legal system when it comes to divorce proceedings, withered there is always a "decree nisi" before any divorce takes effect.

In analogous circumstances referendums on the EU have been rerun after an initial "no" vote in three countries - Ireland, Denmark and Norway. In Ireland and Denmark the result of the second referendum was that people voted the other way - and in both countries there is now overwhelming support for EU membership. In Norway the second referendum confirmed the result of the first, and currently public opinion on membership is still split down the middle.

Does anyone claim that these countries are somehow less democratic than the UK?