Problem with Axiomatic Systems

It was a cold evening in Hell. Our friends found themselves barely able to look at their algebra books any longer. Everything was becoming a crazy jumble of gibberish that only the most skilled could make into words. They were exhausted by the volume of work that had been required of them by their leader Mij.

"HE IS THE DEVIL," someone exclaimed!

Everyone nodded in agreement. "I bet we could prove it," said another. Thus our heroes had a new mission.  

After some work they came up with the most elegant proof. Proud of their work, they displayed the proof on the board for Mij to discover the next day. 

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Mij is Satan if and only if Modern Algebra is Hell.

Assume Mij is Satan.  We know that Mij is the ruler of Modern Algebra. Since Mij is Satan, Satan is the ruler of Modern Algebra. Since Satan is the ruler of Hell, Modern Algebra must be Hell.

Assume Modern Algebra is Hell. We know Satan is the ruler of Hell, so Satan must also be the ruler of Modern Algebra. Since, Mij is the ruler of Modern Algebra, it is trivial that Mij is Satan. 

QED

By Inspection, Modern Algebra IS HELL! Therefore, it is is clear that Mij is Satan.

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Mij walks into the classroom the next morning as the class holds back their giggles. Surely, he will be disgusted, or secretly amused, and will shake his head as he has to erase this obvious display of insolence.

Mij stands back and reads the proof providing no reaction to our friends. Their disappointment takes over as Mij begins to erase the board.

The only thing Mij says is, "the problem with faulty axiomatic systems is that you can prove anything."

Like a demonic superhero Mij both teaches a valuable lesson and stomps on their good time in one fell swoop.  He really is the Devil.

Dammit Doll Football

Ethyl served her job well as a dammit doll. She never complained when slammed against walls, tables, chairs or even other people.  Secretly, however, she only wanted to fly.

She wondered, often, how she could get this group of violent delinquents to understand. She knew her diamond shape was perfectly aerodynamic.

After what felt like her whole life, it finally happened.  In a fit of frustration someone threw her across the room. She felt free! She could barely contain her joy when she heard one of the "wanna be" algebraists say, "Did you see how she flew?" She would never forget that moment.

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For our friends, it is a long forgotten memory of who made the amazing discovery. However, someone recognized that Ethyl was shaped much like a football. They needed room and decided to leave the comfort of purgatory where they had been free to stumble upon this exciting revelation.  The hallway was long and our friends split apart gravitating to each end.

Then it happened.

Ethyl was launched down the hall making a perfect arc and connecting with another at the end of the hall. Our friends cheered!

A new way to break the tension in Hell and Purgatory was found... Dammit doll football was born!!!!