Using a variable name used in a child scope

I've been wondering why in C# using a variable name used previously in a child scope is not allowed. Like this:

if (true)
{
    int i = 1;
}

int i = 2;

Compiling the above code produces an error:

A local variable named 'i' cannot be declared in this scope because it would give a different meaning to 'i', which is already used in a 'child' scope to denote something else

And yet you can't use the variable defined in child scope either. The code above works just fine in Java and I can see no reason why it doesn't in C# too. I'm sure there's a good reason, but what is it?