Logical Paradoxes

56 Views Asked by At

Is the answer to the question "Is the answer to the outer question 'Yes'?" 'No'?

Both the inner and outer questions are Yes/No questions.

1

There are 1 best solutions below

0
On

$\newcommand{\getsto}{\gets\hspace{-2ex}\to}$ Let $X$ be the answer to the outer question. Let $Y$ be the answer to the inner question.

The answer to the inner question confirms the answer to the outer question.   $Y\getsto X$

The answer to the outer question contradicts the answer to the inner question.   $X\getsto\neg Y$

That infers that $X\getsto \neg X$.   So, clearly, the outer question is inconsistent.

The answer to the question is not the answer to the question.