"This statement is false" must be true and false. It IS true and false.
You cannot say it is a contradiction and throw it away. Throwing it away means you fail to understand what is 'true' and what is 'false'.
So what do 'true' and 'false' mean?
Is "hgsfjgkl;sjflksgjdfg" true or false?
we say that when false implies true it is a false statement because if something is false then we can not discern anything from it
False can imply both false and true, for the same reason that you cannot discern anything from it. Think, if you are unable to claim the statement true, then how can you at the same time declare it false?
"preceded by its quotation is false" preceded by its quotation is false
"preceded by its quotation is unprovable" preceded by its quotation is unprovable
"preceded by its quotation implies I am the Messiah" preceded by its quotation implies I am the Messiah
"hgsfjgkl;sjflksgjdfg" is not 0, so it must be true.
if its true then its false but if its false then its true
That is a true statement, because the statement is declaring that it is false, ergo it would be a true statement due to the fact that it declared itself to be false.