Scientific arguments for eating Organic/non-GMO food?

[CapnAwesome]

Everytime I hear an argument in favor of eating organic food, it really falls flat for me. I'm been looking up arguments for eating organic food over conventional food, and I haven't seen an article yet that isn't riddled with pseudo-science and bad logic. The number one proponent Michael Pollan, who is also extremely influential on food policy, makes an outright attack on science in more than one of his books, saying that there are multiple ways of acquiring knowledge (true, but we only have one reliable way of actually testing our ideas.) The obvious implication is that he doesn't care what science says when it comes to his ideas. This is also the same guy who says that " Plants can hear, taste and feel." Needless to say, I am not convinced.

I'm wondering if anybody with a stronger background in science than me (which should be most people) can make a more convincing case if there is a good reason to eat organic or non-GMO food. Or is this anti science gibberish? Or something else.