Well, why do you ask? Who defines "logic" anyways? Rich white men who want to subvert and control everything, who are only interested in power? I'm a Postmodernist. You can't play that trick on me.
When I say I don't believe in logic, I mean that I don't believe in logical ontology. What I mean is that we project subjective logic onto objective reality, thus equating "logic" with "objectivity".