Bogus Mathematical Theorems

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"Allow me to demonstrate with one of my bogus mathematical theorems."

Strong Bad periodically invents bogus mathematical theorems to illustrate his responses to fans on his Strong Bad Email show.

The Transitive Butt Property

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The Property of Ones

We consider a One with the following properties:

  • \!{\mathcal O}^{\mathrm{itude}} is a measure of the Oneness of the One.
  • \!T is the temperature of the One.
  • \!c^{\mathrm{itude}} is the coldness of the One.

The Oneness of the One can be determined by the following simple formula:

{\mathcal O}^{\mathrm{itude}}\propto c^{\mathrm{itude}} .

We expect the coldness to approach zero when the temperature of a One is very large; likewise, it is reasonable to define coldness to be infinite as temperature approaches absolute zero:

\lim\limits_{T\to\infty}c^{\mathrm{itude}}=0,\quad\lim\limits_{T\to0^+}c^{\mathrm{itude}}=\infty .

This is compatible with the expected inverse relationship between coldness and temperature:

c^{\mathrm{itude}}=\frac1T .

As a result, we can rewrite our expression for Oneness in terms of temperature:

{\mathcal O}^{\mathrm{itude}}=\frac{k}T ,

so that k is a proportionality constant (in units of Oneness times kelvins) that uniquely determines the Oneitude of a One given its temperature. In Strong Bad's own words, this can be simply stated:

The Oneitude is directly proportional to the Colditude of the One.

Or in other words:

The colder it is, the more of a one it is.

Coolguy's Law

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