So the definition of truth is that p is true if and only if p.
However, since the Liar Paradox states that p is true if and only if p is false, this is a contradiction.
So the words truth and falsity are basically both poorly defined, and as such those words "don't exist" in a sense.
However, one caveat is that changing definitions do not change the world. You cannot make Pluto bigger by calling it a planet. You cannot make slavery intrinsically good by calling it moral.
So really, its not like the alethic nihilist denies things like snow is white.
They just think we shouldn't use the word true, since it doesn't really have a proper defintion.
Some believe that truth can be used in general but just not in certain scenarios where contradictions run.
Alethic nihilists believe truth shouldn't be used at all because restricting in certain scenarios seems ad hoc.
They think truth's poor definition and falsity's poor definition is proof enough that those words don't accurately exist in a sense.
Am I correct?