At my college, a person who calls them self a GDI is a hypocrite. They look down on anyone in a fraternity and pretend they are against the idea of fraternities. But in the same breath, they brand together and call themselves GDIs, they have a GDI house that holds parties, they wear clothing that says "GDI", and they have GDI formals. They dress in bright neon clothing, skinny jeans, and flat brimmed hats. They bash fraternities and believe they are smarter and cooler than any Greek.
It's funny because GDI hates frats with such passion, and yet they are oblivious to the fact they act just like a fraternity.
Seems to be used in a derogatory way the most by people affiliated with the 'Greek' system because they do not realize that 'independent' really isn't even an insult. Typical brainless, follow-the-crowd, frat people. Damn, frats and sororities are like cults. People go in fine and come out brainwashed, dumb, and/or slutty. IF they ever come out.
Vic: You know, what frat are you in?
Sam: Oh, I'm a GDI.
Vic: Wow, I really think you should go Greek.
Sam: You know, they're not even really Greek. They just jacked the Greek letters and twisted them to use in their half-assed, drunk-partying organizations. I only rushed for the free food. You'd have to pay me to join one.
Vic: Why don't you join?
Sam: Um, it costs money I can't afford to waste, I can make friends on my own time, I don't really want to be saddled with people I don't like, I don't like to do pointless shit, and I don't like how they always call each other 'big' and 'little.' It's hella annoying. Oh, and I don't really like to conform.
Vic: What's 'conform?'
Oh im not, im a GDI.