Value of paradoxes?

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This video is about the Liar Paradox,

[youtube]http://www.youtube.com/watch?v=7t4z-CL9N7k&feature=sub[/youtube]

Which is basically the same as:

A: statement B is true.
B: statement A is false.

And I think a third statement should be added,

C: statements A and B are meaningless. Except that they form an oscillating circuit.

A similar contradiction/paradox, is in multiple choice questions, such as the one above. If you are given such-and-such options above the option "none of the above" and place "all of the above" below it, then to select "all of the above" results in an oscillating circuit, in a sense, because "none of the above" cannot be true at the same time that the options above it are true.

There are no true paradoxes. The universe never contradicts it's self.
If you come across something that looks like a paradox then you have made a mistake somewhere.

wasnt there a bad robot in star trek whos head blew up after hearing that