I must state that I consider myself inadept at using proper math language. Therefore, I must state my thoughts in word statements.
Let us take a statement. We will call this statement 'This'. I now make another statement. Let us call the second statement 'Another This'.
'Another This' = 'This' is false.
I open 'Another This' to assumptions. Thereby, if 'Another This' is true, then 'This' is false. If 'Another This' is false, then 'This' is true.
My question is: Why in the Liar's paradox do we take Another This and This to be the same?