And, apparently, you were both making the same mistake, which is to assume that "organic farming" and "organic food" are equivalent. This is easily forgiven, as an enormous amount of commercial advertising has been dedicated to creating precisely this mistaken impression. In that commercial sense, the term "organic" reminds me a lot of the way "Indian Made" has been used (and abused) in the jewelry industry.
In its original context, the phrase "organic farming" does not refer to chemistry, nor does it refer to food per se; it is about farming -- and the idea of "the farm as organism" is invoked metaphorically:
But that's equally bogus IMHO.
1. "Organic" had a very well defined meaning. Just because a snake oil peddler wants to reuse it for his woo, doesn't mean I should go along and pretend the old meaning has ceased to exist.
Same as just because "quantum" now is all the rage in snake oil pendants, it doesn't mean we should redefine what "quantum" means.
2. It's empty handwaving anyway. That farm still is a living organism either way. There still are plants growing, bacteria in the soil, insects pollinating it, etc.
But farming always also meant basically controling what that organism is.
Whether you pull out the weeds by hand, or use herbicides, you still control that that organism should include more of plant X and less of plants Y and Z. Even ploughing, a major reason it caught on is because it destroys the roots of what's already there before you plant your own seeds.
And you always controlled, to the best of your ability, what insects you want there. E.g., the reason we still have wine in Europe is that the local sorts were transplanted on rootstock on which phylloxera didn't thrive or by growing the vine in sand. Maybe not as efficient a way as pesticides, but nevertheless it was a way of controlling that insect and its effects.
And you still controlled the nutrients in the soil, to the best of your possibilities. Be it by spreading manure, or the three field system. The legumes tended to replenish the nitrogen in the soil, for example, and then you'd use that for the crops which needed more nitrogen.
Basically the old ways still didn't mean being particularly gentle to that organism, much less letting it do whatever the heck it wished. "Organic" or not, it still involved coaxing that organism to be like _you_ want and do what _you_ want.
So basically defining one set of methods as "organic" and the other as "not organic" is still bull, even with that handwaving and sophistry.