Horses have an even number of legs. Behind they have two legs,

and in front they have fore legs. This makes six legs, which is

certainly an odd number of legs for a horse. The only number

that is both odd and even is infinity. Therefore, horses have an

infinite number of legs.

-- From "On the Nature of Mathematical Proofs", Joel Cohen

- Every Horse has an Infinite Number of Legs (proof by intimidation)

Horses have an even number of legs. Behind they have two legs, and in front they have fore-legs.... - Proof techniques #2: Proof by Oddity.
SAMPLE: To prove that horses have an infinite number of legs.

(1) Horses have an even number of legs. (2) They have two legs in back and fore legs in front.... - Proof techniques #2: Proof by Oddity.
SAMPLE: To prove that horses have an infinite number of legs.

[1] Horses have an even number of legs. [2] They have two legs in back and fore legs in front.... - Lemma: All horses are the same color.
Proof (by induction)

Case n = 1: In a set with only one horse, it is obvious that all horses in that set are the same color.... - 1) Alexander the Great was a great general.
(2) Great generals are forewarned.

(3) Forewarned is forearmed. (4) Four is an even number....