what do you mean by "between true and false" since it is a binary choice when we consider short statements like these. If one wants to talk about 'partial truth' then one is immediately accepting falsehood in the statement, and is talking in general terms... for example with the John statement... it may well be that all johns other than that particular John are liars. All I can see, is true, false or not either/paradoxical.
everything I say is wrong.