THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS TRUE.
&
Q:
THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS FALSE.
now let us assume P is true which means Q is true.Now Q says P is false ,a contradiction,so P is false.
From above we concluded P is false so it means Q is false(what P says of Q is wrong).Now Q being false says wrong about P.Thus, P is true ,again contradiction.
This way we can start with Q and show that it too has no truth value(neither true nor false).
So, these statements mean nonsense although individually they seem to be logical statements.
Double Liar Paradox (Jourdain's paradox)
in Paradoxes
Posted
hey guys think in this way
let
P:
THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS TRUE.
&
Q:
THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS FALSE.
now let us assume P is true which means Q is true.Now Q says P is false ,a contradiction,so P is false.
From above we concluded P is false so it means Q is false(what P says of Q is wrong).Now Q being false says wrong about P.Thus, P is true ,again contradiction.
This way we can start with Q and show that it too has no truth value(neither true nor false).
So, these statements mean nonsense although individually they seem to be logical statements.
Hence, it's all paradoxical
I hope i have conveyed it clearly :-)