Define "Organic" ?

According to this story, some people are peddling milk that isn't organic.

I have to admit- I don't understand what "organic" means, except from my short career in Chemistry, and a somewhat broader exposure to the concept in Biology. I understand organic compounds to be: those comprising some combination of C,H,O,N (Carbon, Hydrogen, Oxygen, Nitrogen) with the occasional incorporation of atoms of such elements as Sulfur or Iron.
Ever since the unfortunate adoption of the word "organic" by those who theorize that foods produced in a certain manner are more "foodlike" or "less poisonous" than others, I've yet to see any simple, concise definition of "organic foods" ....which, I submit, should be rendered as some sort of phrase when applied in this manner (....or "organic sustenance, organic chow"), and not merely as the modifier "organic," which, as I have noted, is already taken.
What I'm getting at, and where the confusing "middle part" comes in, is that a molecule of glucose is an organic compound, and it is just as much glucose in sugar cane that is raised "inorganically" as some that is raised "organically." The article linked above does nothing to remove the murkiness from the concept of "organic food." It appears that it revolves around a bunch of rather hard to define conditions, e.g., whether (and how much?) milk cows get their sustenance from pasture, as opposed to food. But if their food is just dried baled grass from those same pastures, does it qualify? And then there's the fact that the brand of "organic" has been around long enough, and enough people seek it out, that it's become a battle of the food interests- but I'm not going there.
I admit that I've a very dubious outlook on the whole idea of "organic food" as it's been presented and marketed so far. The best I can say is that I'm looking for more light, and less heat. "Free-range light," naturally.....