How would one go about proving that the Liar sentence is paradoxical?
I ask because to me it obviously isn't one so I'd need a decent proof to change my mind. I've always been baffled as to why it's considered paradoxical.
It seems rather obvious to me that in the sentence "This sentence is false", the sub-phrase 'This sentence" is not a sentence and has no truth-value. So how does one create a paradox out of this?
I might as well say "This elephant is false", or "This word is false".
Where is the paradox? How would one go about proving there is one?
I've been bothered by this for years and never seen a convincing argument that there is a paradox here. It appears to be a basic and simple error that creates the paradox, but this would be odd when so many people make it. So, it must be me. But what am I missing?
EDIT: I just found this article and it gives my view. http://steve-patterson.com/resolving-the-liars-paradox/
What is Steve Patterson missing?