FTW is an abbreviation for the phrase "Fuck The World". Which was used by and most commonly affiliated with American neo-nazis, and bikers from the late sixties to the mid eighties. It was a common tattoo and often found in the form of graffiti on police stations, and foreign owned business's.
FTW is also and most recently an abbreviation for the phrase, "For the Win." Which is strictly internet slang
. "typed not spoken"
Mac: " Hey Wolf the cops got billy, and they made em reck his bike! He's in real bad shape...."
Wolf: "Well shit man, we gotts go bust em out!"
Mac: "Huh, no way man that's suicide! We gotta lay low for a while."
Wolf: Ahhh shit, FUCK THE WORLD!