But they never thought it through.

[arc_shadow]

Is it impossible for an impossibility to be possible? And if it is, is it not?

The answer is simply no, with the conditional second question being irrelevant. But not many see it because they are so ingrained with the common phrase "nothing is impossible."

Comments

[tokyostreet]

But that would mean it's possible for an impossibility to be possible... which is impossible...

[arc_shadow]

Why? There's no contradiction there, and no indication that something can't be impossible.

[tokyostreet]

Your answer is no. This is the same as negating the the phrase. As such, you are saying:

It is possible for an impossibility to be possible.

Now, it depends on how you read the phrase. If you take "an impossibility to be possible" to mean that something can be impossible you'd be correct. You could also read it as a contradiction stating that something impossible it also possible at the same time.