Well assuming that you have removed index.php, as opposed to renaming it (articles), then I’ll assume your template_group is articles. Like PXLated stated, part of this is dependent on how you set-up your data. But assuming—culture, books, religion, etc. are categories of a single weblog, then you turn on ‘using category_names’ instead of category_id for the url.
Basically, if you have a template_group (articles), with a template (index), then specify a category, the url would look like this http://www.mysite.org/articles/C125/ with C125 == Category 125 == Religion. If you turn on using category names, then the url would look like http://www.mysite.org/articles/religion/. There are some considerations though (1) using category names, requires a trigger, and I’m not certain if ‘articles’ could be your trigger. So you’d have to investigate.
You could use multiple templates. This is actually easier to manage than you imagine. The trick is to have each template pull an embedded template. This option will work for categories or separate weblogs. The structure would be like: template_group == articles. Templates are culture, books, religion, etc. The template code is
{embed="include/article"}
In your second template_group include, you have the required EE code for separating content. For example, if each of the areas were separate weblogs, you could have the code
{exp:weblog:entries weblog="{segment_2}" orderby="date" sort="desc" limit="15"}
<a href="/">{title}</a>. {summary} (<i>entry_date format='%F %d, %Y '}</i>
{/exp:weblog:entries}
Similarly, if the areas are categories, you could actually, use the embeds to just pass on the category_ids to the embedded template, the code would look something like this for the primary template (i.e. culture, religion)
{embed="include/article_select" the_id="25"}
where, the_id, is equal to the category_id you wish to display. Then the embedded template would use code like
{exp:weblog:entries weblog="weblog" category_id="{embed:the_id}" orderby="date" sort="desc" limit="15"}
<a href="/">{title}</a>. {summary} (<i>entry_date format='%F %d, %Y '}</i>
{/exp:weblog:entries}
Obviously, you’d have to play around a bit, and some options are limited by how you structure your data, but EE is very flexible.