This sentence does not convey any information.

Question: Does that sentence convey information?

Note that the sentence itself may be true or false, the question is only if it conveys information.

comments

it does not convey any information, because if it did, 3at would be a paradox, rendering 3e sentence meaningless

it does convey information. that also makes it false

I also think that, but what information does it convey?

the information it conveys is that it doesn't convey any. it's false, but still information.