The admin interface for writing pages (not posts) includes a check box for "Allow Comments" but if you try to use the "comments_popup_link()" template tag in your page template (page.php) you will find that it doesn't output anything at all.
This is because in the comments_popup_link() function in the file comments-functions.php at line 95 there is a test for "is_page()" and if it passes, the function does nothing and returns.
I don't know if this is the only place in the comments code where a check is done to see if it's being called from a page rather than a post, but it seems like a bug to me: if the intention is that WordPress disallow comments on pages then the "Allow Comments" checkbox shouldn't be in the admin interface; and if the intention is the opposite then the comments_popup_link() function (and any others like it which may be doing the same kind of test) should be changed to work on pages and not just posts.
This is my first bug report using trac, so I hope it's all right.