[ExI] new and improved intermittent liar

[Adrian Tymes]

On Sun, Jan 23, 2011 at 2:00 AM, spike <spike66 at att.net> wrote:
> ... On Behalf Of Adrian Tymes
> ...
> Subject: Re: [ExI] new and improved intermittent liar
>
> On Sat, Jan 22, 2011 at 10:29 PM, spike <spike66 at att.net> wrote:
>>> Ordinarily if one says "a month ago" on 15 October, one means 15
> September.
>>> But what if one says "a month from now" on 31 October?  What day is that?
>>> What if one says "six months from now" on October 31st?
>
>>Actually, there is a convention for that.  If you specify "month", then you
> are only passing the month-to-month transition the specified number of
> times.
>
>>"A month from now" on October 31st is November 30th, since that is the span
> of one full "month" - to wit, November.
>
>>"Six months from now" on October 31st is April 30th, for the same reason...
> Adrian
>
>
> Ja, good catch.  What I need then is this:
>
> Larry lies on vowel months and truths on consonant months.  His brother
> Darrel is even more dishonest, truthing only on vowel months and lying on
> consonant months.
>
> Larry comments:  I lied a month ago.  I will lie again 180 days from now.
>
> Darrel comments:  Larry is lying now.
>
> How can this be?
>
>
>
> That version kinda gives away what I had in mind and has multiple correct
> answers, but actually is a better puzzle.  It shouldn't be too hard to
> figure out all the possibilities with this version.

Darrel's comment is irrelevant.  He will always say that Larry is lying at the
present time.  At any given time, either he's lying when Larry isn't,
or he isn't
when Larry is.

Larry's comments are both true on, say, May 1st-4th.  A month ago was
April, and 180 days hence is late October.  I haven't checked, but there may
be a few other days where both could be uttered.