A paradoxical argument

An argument is called sound if it is deductively valid and its premises are true. Now consider the following argument, which I'll dub 'argument Z':

1. If the conclusion of argument Z is true, then argument Z isn't sound.
2. If the conclusion of argument Z is not true, then argument Z isn't sound.
Therefore: Argument Z isn't sound.

Is argument Z sound? (If not, which premise is false?)

Comments

No comments yet.

Add a comment

Please leave these fields blank (spam trap):

No HTML please.
You can edit this comment until 30 minutes after posting.