COUNTs don't add up

Hello all,

I have a database where (I believe; the database was not made by me) one
of the columns contains only two values: A or B. When I count all the
rows in the database I get X; when I count the rows containing A or B in
that column I get X-2; when I count the rows containing neither A nor B
I get 0. Any explanation (hopefully, again, I am doing something wrong
:)?

The actual queries are found below.

Thanks!

Alex

aturchin=# SELECT COUNT(*) FROM homol_loclink
aturchin-# WHERE (species2 = 'Mus musculus') OR
aturchin-# (species2 = 'Rattus norvegicus');
count
-------
7110
(1 row)

aturchin=# SELECT COUNT(*) FROM homol_loclink;
count
-------
7112
(1 row)

aturchin=# SELECT COUNT(*) FROM homol_loclink
aturchin-# WHERE (species2 <> 'Mus musculus') AND
aturchin-# (species2 <> 'Rattus norvegicus');
count
-------
0
(1 row)