Is the statement 'this statement is false' true or false?

This statement is false is a paradox. Neither true or false.





Liar's Paradox:


';This statement is false.'; is known as a liar's paradox. It is an illustration of inherent flaws in logic. Another example of a liar's paradox is: ';The next statement is false. The previous statement is true.';











EXAMPLE IN POP CULTURE:


The liar's paradox can be found in an episode of Star Trek where Captain Kirk defeats a ';superior'; computer by introducing a logic loop similar to the questions liar paradox.











Language:


In semantics there is the issue of truth condition, where the meaning of a sentence is conveyed if the truth conditions for the sentence are understood. A truth condition is what makes for the truth of a statement in an inductive definition of truth. The semantic theory of truth was developed from the work of a Polish logician named Alfred Tarski who attempted to formulate a new theory of truth in order to solve the liars paradox. In doing so, Tarski developed the indefinability theorem, similar to Godels incompleteness theorem. The Theory that the concept of truth for the sentences of language cannot be consistently defined within that language means that such paradoxes as ';This statement is false'; do not reveal the truth or falsity of the sentence by the words that have been used.Is the statement 'this statement is false' true or false?
The statement is false.





Reasoning:





If the statement is assumed to be true, then it is false.


If the statement is assumed to be false, then it is false.Is the statement 'this statement is false' true or false?
Yes,





It is either true or false.
both true in the essence that it's false
It can be both.
Yes.
true
depends on how u look at it