Let's apply that same rationale to Rubberneck's odd/even number of hairs scenario.B. W. wrote:+
Let's make it simpler and take out the apostrophes :
1). Atheists do not believe God exists.
2). Atheists believe God does not exist.
Conclusion: the two statements are the same.
Online Dictionary says:
1). Rubberneck does not believe he(?) has an even number of hairs on his head.
2). Rubberneck believes he does not have an even number of hairs on his head.
I hope you can see that 2) is not equivalent to 1). 2) is, however, equivalent to another statement:
3). Rubberneck believes he has an odd number of hairs on his head.
And a counterpoint to 1) is yet another statement:
4). Rubberneck does not believe he has an odd number of hairs on his head.
So as regards hairs, Rubberneck stands by statements 1) and 4). He does not hold by statement 2), even though it is extremely similar to 1). He does not stand by statement 3), because it is equivalent to 2) rather than similar.
As regards god, I believe Rubberneck stands by these statements (and please correct me if not, Rubberneck):
a). I do not believe that god exists
b). I do not believe that god is non-existent
And I believe that Rubberneck does not stand by these statements [even though they are similar to a) and b) in the way that 1) is similar to 2)]:
c). I believe god exists
d). I believe god does not exist