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(Seriously, if I saw this on a test I'd just circle A and D then write "= 50%".)
Appears to be a clever case of the first incompleteness theorum.
Just because you title something an "Unanswerable question" doesn't mean it actually is, and certainly doesn't mean the first incompleteness theorem is relevant.
Earlier quoted context omitted.
But then you're implying that you'll get a correct answer 1/2 of the time, which means that the answer is B, but then the answer is correct only 1/4 of the time, and you've got yourself in an infinite loop.
[deleted]
Earlier quoted context omitted.
But then you're implying that you'll get a correct answer 1/2 of the time, which means that the answer is B, but then the answer is correct only 1/4 of the time, and you've got yourself in an infinite loop.
[deleted]
So the right answer would be B, but you only have 25% chance of choosing that ... infinite loop.
I say B. Now prove me wrong.
Appears to be a clever case of the first incompleteness theorum.
Gödel's first incompleteness theorem states that any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete. In particular, for any consistent, effectively generated formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true, but not provable in the theory (Kleene 1967, p. 250) per http://en.wikipedia.org/wiki/Göd…