404 NotFound; spurious directory in path

Hello!
I tried to follow the instructions in
http://codex.wordpress.org/Giving_WordPress_Its_Own_Directory
Now, when trying to login WordPress, I don’t get the usual WordPress heading but the name of my blog; well, OK. I fill the Username and Password in, under
http://localhost/wordpress/wp-login.php,
click LogIn, and get a 404 NotFound:

The requested URL /SIence/wordpress/wp-login.php was not found

…because directory /SIence does not exist, even though I entered its name at some point in the above attempt.
Now, how to fix that? Where in the WP data is this path ‘/SIence/wordpress’ stored? Could I open and edit some php file (Which one?) and remove the spurious ‘/SIence’?
PS. I intended to put my blog in the /SIence directory, but that’s useless since WordPress already resides in its own directory, won’t get mixed in with the blog files. According to the doc, moving the WordPress directory is tricky, and I now want to avoid it!