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On describing integers

Here is a slightly more rigorous version of yesterday’s theorem. Theorem. Every natural number can be unambiguously described in 14 words or less. Proof. Suppose there is some natural number which...

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The integral of cosine over its first period

Theorem. The integral of cosine over its first period is zero. Proof. Q.E.D. This was an honest-to-God answer that a calculus student wrote on a final exam! I kid you not — I shared an office with the...

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A proof that 0 = 1

Theorem. Zero equals unity, i.e. 0 = 1. Proof. Q.E.D.

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A proof that n = n+1

The following generalizes yesterday’s theorem. Theorem. Any integer equals its successor, i.e. n = n+1 any integer n. Proof. Q.E.D.

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A dollar equals a penny

Theorem. A dollar is equal to one penny. Proof. We shall use the conventional physics notation and write units behind the numbers. That is, 1 $ means 1 dollar, and 5 c means five cents. Proceeding: 1 $...

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On the number of tails a cat has

Theorem. A cat has nine tails. Proof. No cat has eight tails. A cat has one tail more than no cat. Therefore, a cat has nine tails. Q.E.D.

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On papers and puppies

Theorem. A sheet of paper is a lazy dog. Proof. A sheet of paper is an ink-lined plane. An inclined plane is a slope up. A slow pup is a lazy dog. By transitivity, a sheet of paper is a lazy dog. Q.E.D.

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On the value of a PB&J

Theorem. A peanut-butter and jelly sandwich is better than life itself. Proof. A peanut-butter and jelly sandwich is better than nothing. Nothing is better than life itself. By transitivity, a...

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The Salary Theorem

In honor of tax day… The Salary Theorem. The less you know, the more money you make. Proof. It is known in universities that knowledge is power, hence Similarly, it is known in business that time is...

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Nerd love

From Graph Jam.

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