I understand organic search to mean, as Kilroy meant, the non-paid results on the SERPs.
I would hope organic SEO not to remain closely allied with that term, but to refer to SEO that is
done organically. No link exchanges or paid links or other methods that are done to manipulate rankings.
An organic link, for example, should be one that comes to you because you offered something of value.
Organic SEO, as I see it, is primarily on site -- architecture, navigation, and content. Content and more content. Little off site "optimization" would be needed because you would naturally, organically attract links.
Self service links - such as forum posts and blog commenting - are only "organic" if it's done primarily for the community or educational participation. (I am biased on that score, of course, as I love forums for both reasons.)
I'd love to hear what others would think is and is not organic SEO under such a definition. What about blog posts on a stand alone blog? What about articles?
Would you need to do that if you produced the same great articles on your own site? If you put your blog onsite, would that be more organic? What organic reason would there be to not have a blog on site if you were only trying to serve the user?
Perfect! Organic SEO is User-Centric optimization.