Then google came along, the SEOs spoiled it for the rest of us with their 'organic link building' campaigns and that was that. "Oganic" in this context means nothing more than 'unpaid', and even that is a quite a stretch judging by the number of requests I get to place such links (obviously, they're very organic and the payment is just a token compensation for my time, even if it is recurring and the amounts offered suggest there is more to it than that.).
The better meaning for that set of words - which you apparently don't subscribe to - is that 'organic' means 'natural', in other words, links that you, the site owner, have nothing to do with, and that therefore you can not be building.
If you're not into spamming and if your SEO experience is as limited as you say it is then get off your high horse, stop using typical spammer terminology that creatively redefines words that had a perfectly good usage before the SEO crowd came along and call it a day.
Lest you get into this territory:
http://en.wikipedia.org/wiki/The_lady_doth_protest_too_much,...