Is the self all that can be known to exist?

[Edwardo Piet]

It's a question of how you partition it.  Regardless, substituting the sentence, "This sentence is not long," obviates your objection and my point holds.

"This sentence is not long" already makes sense without "true" or "not true". That's my point. "this statement is" does not. The fact you have to redefine "this statement is" to mean "this statement exists" (when "is" doesn't mean "exists") demonstrates my point about equivocation being the only (fallacious) escape route.