faul_sname comments on Is Omega Impossible? Can we even ask? - Less Wrong Discussion
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What if were set some problem where we are told to assume that
3rd one looks fine to me. :)
Edit: Whoosh. Yes, that was the sound of this going right over my head.
I'm surprised you don't like the 2nd one :)
The point being one false statement declared as true is enough to render logical derivations unrelliable no matter how many true statements you include with it.