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fortune | cowsay -n /usr/share/cows/tux.cow

Apr 20th, 2012
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  1. _________________________________________
  2. / Lemma: All horses are the same color. \
  3. | Proof (by induction): |
  4. | |
  5. | Case n = 1: In a set with only one |
  6. | horse, it is obvious that all |
  7. | |
  8. | horses in that set are the same color. |
  9. | |
  10. | Case n = k: Suppose you have a set of |
  11. | k+1 horses. Pull one of these |
  12. | |
  13. | horses out of the set, so that you have |
  14. | k horses. Suppose that all |
  15. | |
  16. | of these horses are the same color. Now |
  17. | put back the horse that you |
  18. | |
  19. | took out, and pull out a different one. |
  20. | Suppose that all of the k |
  21. | |
  22. | horses now in the set are the same |
  23. | color. Then the set of k+1 horses |
  24. | |
  25. | are all the same color. We have k true |
  26. | => k+1 true; therefore all |
  27. | |
  28. | horses are the same color. Theorem: All |
  29. | horses have an infinite number of legs. |
  30. | Proof (by intimidation): |
  31. | |
  32. | Everyone would agree that all horses |
  33. | have an even number of legs. It |
  34. | |
  35. | is also well-known that horses have |
  36. | forelegs in front and two legs in |
  37. | |
  38. | back. 4 + 2 = 6 legs, which is |
  39. | certainly an odd number of legs for a |
  40. | |
  41. | horse to have! Now the only number that |
  42. | is both even and odd is |
  43. | |
  44. | infinity; therefore all horses have an |
  45. | infinite number of legs. |
  46. | |
  47. | However, suppose that there is a horse |
  48. | somewhere that does not have an |
  49. | |
  50. | infinite number of legs. Well, that |
  51. | would be a horse of a different |
  52. | |
  53. | color; and by the Lemma, it doesn't |
  54. \ exist. /
  55. -----------------------------------------
  56. \
  57. \
  58. .--.
  59. |o_o |
  60. |:_/ |
  61. // \ \
  62. (| | )
  63. /'\_ _/`\
  64. \___)=(___/
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