I was thinking about classifying paradoxes, and found that

"This is false"

is a recursive function bool x(){return x()==false} and that it can't be evaluated because it won't terminate the recursion. It reminds me of diverging series but that's another story.

What about "This is true", it's also recursive and it's obviously not considered a paradox, however only as if there is no way to mathematically evaluate you think it's "logical" actually it just "makes sense" to say that it's true because it just seems to work out no matter how many times you recurse. Problem is that infinity is not something mathematical...

So, neither are statements, but paradoxes, what i think

What do you think?