(September 8, 2015 at 10:30 pm)Alex K Wrote:(September 8, 2015 at 10:26 pm)Losty Wrote: Under "at least one of us", why can't statement one and two be true at the same time?
If both always told the truth, we'd have to believe the first guy, who claims that one of them always lies. This contradicts the original assumption that both tell the truth
Edit: I indeed assume an "in this conversation, consistently", which is not written but traditionally assumed in such Paradoxes which have a long tradition going back to ancient Greece (The lying guy from Crete comes to mind). If we drop this restriction, the problem tends to become simply undeterminable from the existing information.
Consistency yes, but use "sometimes" or "often" instead of always. If you don't assume anything that isn't specifically stated, the answer is clearly that both are telling the truth. If you assume "always" or "right now", then it's impossible to answer neither of them can be telling the truth or lying because none of the combinations fit.
