Green’s Dictionary of Slang

f.t.w.! excl.

[abbr.]

(US, mainly bikers/campus) fuck the world!

[US]R. Wilson Playboy’s Forbidden Words 113: F.T.W. A slogan of Hell’s Angels...meaning fuck the world.
[US]Village Voice (N.Y.) 14 July 19: F.T.W. on the top [of the tattoo], M.O.D. on the bottom. He reads off, ‘Fuck The World, Method Of Destruction’ [HDAS].
[US]D. Gaines Teenage Wasteland 67: Joe grabs my arm and draws a tattoo: an iron cross with a snake [...] ‘F.T.W.’ on the top.
[US]‘Randy Everhard’ Tattoo of a Naked Lady 85: Tattooed on three knuckles were the letters F-T-W for Fuck the World.