The difference between your two examples is that "This statement is false" is undecidable, as it's false if true and true if false. "All absolute statements ar

The difference between your two examples is that "This statement is false" is undecidable, as it's false if true and true if false. "All absolute statements are false" includes itself, but also other statements. It's more akin to the notion of "the set of all sets that do not include themselves". That is to some extent solipsistic and tautological, in that the truth of the statement is defined by the statement itself, rather than on some exogenous state of the world. Much as "non-lactating mammal" or "spineless vertebrate" would also be dependent on definitions (mammals are lactating animals, vertebrates are animals having a spinal column).