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...
View ArticleThe 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...
View ArticleA 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.
View ArticleA 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 $...
View ArticleOn 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.
View ArticleOn 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.
View ArticleOn 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...
View ArticleThe 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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