Alright, I now know where this is going. This is a very important puzzle for it connects Logic, its consistency with truth values and the need for circularity in logic. Connects up to biology in Information theory carrying packets of information and its
need of circularity. Connects up with physics in the Light Wave needs circularity which is indeed the Circuit of electromagnetism-- you have no electromagnetism without a circuit. Connects up with raw Physics in the importance of 3 particles proton, muon,
neutron and for AC versus DC current in what is commonly called "skin effect".

AC skin effect in alternating current creates a magnetic field and when the current increases causes eddy currents that causes current to seek the outside skin of the conductor rather than the center of the conductor. The skin effect on AC current is
analogous to the concept of Logical Inconsistency with the Alice,Lion, Unicorn puzzle.

Note: DNA molecules and RNA molecules all have rotation angles which consist of the odd number 10.5 in base pairs. The twist angle of 36 degrees corresponds with moving up 5 base pairs to start the cycle over again. And it is highly likely that this 10.5
base pairs twist shows up as 105 MeV for the muon energy.

So, well, this Puzzle is a way of making a teaching lesson on Logic Consistency versus a 3 base truth system-- true , false, indeterminate.

And let us redesign the Puzzle yet again with using Months of the year, for that is an even number and shows us the Indeterminate or the Logical Inconsistency a even number brings. This is what physicists or electricians would end up calling-- too much
Skin Resistance in their AC current.

Alice arrives in a meeting with Lion and Unicorn and tasked to find what Month it is.

Lion::..Jan.....Feb.....Mar.....Apr.....May....Jun....Jul.....Aug......Sep......Oct.....Nov......Dec
.............F.........T..........F.........T.........F..........T.......F.........T..........F...........T..........F..........T

Unicorn::..Jan.....Feb.....Mar.....Apr.....May....Jun....Jul.....Aug......Sep......Oct.....Nov......Dec
..................T..........F.........T.........F..........T.........F.........T........F...........T..........F..........T.........F

Now you see, in Logic with a even number and a circularity we get ___No Unique___ solution. Alice cannot have a unique month of the year given a Testimony Statement by lion and unicorn.

Either the Testimony Statement

Lion:: Last month I told a falsehood.
Unicorn:: Last month I told a falsehood.

Or I prefer the testimony statement be telling the truth last month, either one will work.

The fact of bringing in the concept of time of last-month draws forth the concept that time is circular is EM circuit and not a straight line arrow with head and tail on the arrow. The concept of Arrow of time is wrong, and we should understand that time
itself is circular, not straight line ray arrow. So this puzzle really does bring out a lot of clarity in all sciences.

But back to the above task for Alice. She is never able to have a Unique solution, for January the unicorn tells the truth that last December was false and that the lion also conforms that it is false that last was a truth month. But, because it is even
numbered, means that Alice cannot have a unique month for the other months also satisfy the testimony statement.

But-- if the months of the year were Odd Numbered say 11 like this.


Lion::..Jan.....Feb.....Mar.....Apr.....May....Jun....Jul.....Aug......Sep......Oct.....Nov
.............F.........T..........F.........T.........F..........T.......F.........T..........F...........T..........F

Unicorn::..Jan.....Feb.....Mar.....Apr.....May....Jun....Jul.....Aug......Sep......Oct.....Nov
..................T..........F.........T.........F..........T.........F.........T........F...........T..........F..........T

Then there is a Unique Month-- the month of January in which it is the same truth value for lion-- false and the same truth value for unicorn-- true, and thus Alice can recognize the month of the year is January, and all the other months lead to a
contradiction of the testimony statement.

What January is to Logic is shows us that Logical Consistency requires at least 3 parameters-- true, false, and indeterminate. That for uniqueness, requires odd numbers in circularity. This then connects up to biology in DNA needs Odd Numberage in base
pairs when it circuits 36 degrees. This shows up in physics electricity and magnetism that Light Waves are closed loop circuits with odd numbers of magnetic and electric field in order to contain Information, for uniqueness translates into -- carrying
information in the closed loop wave.

We can also understand the odd number as being the electrodes where the electrodes hook up to the closed loop wire in electricity. So we can view the January and November, or in the earlier puzzle of week days, the monday to sunday hook up, as the
electrodes of a week in days or the January and November hook up of months.

The Skin Effect in AC current is due to the resistance experienced because of electricity negotiating that distance of conductor as not quite odd numbered and still partial even number. Curiously, when I learned physics in the late 1960s it was dictated
that AC current was the only long distance current that loses little of the electricity although with more voltage needed to send the current. And that DC simply was not able to go long distance. But now in the physics and engineering community, we see
that DC is the prefered current for Ultra-long-distance. Some to the electricity from Canada to California is as I understand it -- DC current for ultra long distance.

AP, King of Science, especially physics and logic

AP's 285th book of Science:: A puzzle unravels many mysteries of biology, physics, logic

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