I believe the core of modern nihilism is actually a *hatred* or a resentment of the truth, that arises out of the way our natural born love of the truth is used to bully, abuse, and corrupt us, by those in positions of power over us. This includes, and is first experienced from, parents.
That hatred of the truth, as an emotional or psychological corruption, I think, is much more important to focus on, than the logical or intellectual corruption. Fix the first, and you'll fix the second by default.