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Puzzling

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  • $\begingroup$ Because I know this question is difficult I am already including the 3 small hints which are really just clarifications on wording and will offer a bounty or reward based on when it gets answered. $\endgroup$ Commented Mar 30, 2015 at 21:05
  • $\begingroup$ I think Hint 1 should be reworded; it seems to suggest that none of them make an incorrect deduction, but towards the end either Donna or Sarah must do so. $\endgroup$ Commented Mar 30, 2015 at 21:19
  • $\begingroup$ @randal'thor Would "Bob ate the pie and Abby believes she has eliminated the possibility that Bob did not eat the pie" fit your request? Note that Donna and Sarah make the same (non-mathematical) mistake and it says exactly what that mistake was. $\endgroup$ Commented Mar 30, 2015 at 21:21
  • $\begingroup$ When Donna says Sarah knows the answer and Sarah says she doesn't, one of them must be making a statement that's actually false, so "Abby says Bob ate the pie" can't be equivalent to "Bob ate the pie and [...]" (I think?) $\endgroup$ Commented Mar 30, 2015 at 21:28
  • $\begingroup$ What do you mean by "(non-mathematical) mistake"? The only mistake is to believe a false statement, right? $\endgroup$ Commented Mar 30, 2015 at 21:30