A Lewis Carroll logic problem.


Problem: To achieve the complete conclusion.

  1. When the day is fine, I tell Froggy "You're quite the dandy, old chap!";
  2. Whenever I let Froggy forget that 10 pounds he owes me, and he begins to strut about like a peacock, his mother declares "He shall not go out a-wooing!";
  3. Now that Froggy's hair is out of curl, he has put away his gorgeous waistcoat;
  4. Whenever I go out on the roof to enjoy a quiet cigar, I'm sure to discover that my purse is empty;
  5. When my tailor calls with his little bill, and I remind Froggy of that 10 pounds he owes me, he does not grin like a hyena;
  6. When it is very hot, the thermometer is high;
  7. When the day is fine, and I'm not in the humor for a cigar, and Froggy is grinning like a hyena, I never venture to hint that he's quite the dandy;
  8. When my tailor calls with his little bill and finds me with an empty pocket, I remind Froggy of that 10 pounds he owes me;
  9. My railway shares are going up like anything!
  10. When my purse is empty, and when, noticing that Froggy has got his gorgeous waistcoat on, I venture to remind him of that 10 pounds he owes me, things are apt to get rather warm;
  11. Now that it looks like rain, and Froggy is grinning like a hyena, I can do without my cigar;
  12. When the thermometer is high, you need not trouble yourself to take an umbrella;
  13. When Froggy has his gorgeous waistcoat on, but is not strutting about like a peacock, I betake myself to a quiet cigar;
  14. When I tell Froggy that he's quite a dandy, he grins like a hyena;
  15. When my purse is tolerably full, and Froggy's hair is one mass of curls, and when he is not strutting about like a peacock, I go out on the roof;
  16. When my railways shares are going up, and when it's chilly and looks like rain, I have a quiet cigar;
  17. When Froggy's mother lets him go a-wooing, he seems nearly mad with joy, and puts on a waistcoat that is gorgeous beyond words;
  18. When it is going to rain, and I am having a quiet cigar, and Froggy is not intending to go a-wooing, you had better take an umbrella;
  19. When my railway shares are going up, and Froggy seems nearly mad with joy, that is the time my tailor always chooses for calling with his little bill;
  20. When the day is cool and the thermometer low, and I say nothing to Froggy about his being quite the dandy, and there's not the ghost of a grin on his face, I haven't the heart for my cigar!

Dictionary for Froggy's Problem

a = Froggy's hair is out of curl
b = Froggy intends to go a-wooing
c = Froggy is grinning like a hyena
d = Froggy's mother permits him to go a-wooing
e = Froggy seems nearly mad with joy
h = Froggy is strutting about like a peacock
k = Froggy is wearing a waistcoat that is gorgeous beyond words
l = I go out on my roof
m = I remind Froggy of the 10 pounds he owes me
n = I take a quiet cigar
r = I tell Froggy that he's quite the dandy
s = It is going to rain
t = It is very hot
v = My purse is empty
w = My railway shares are going up
z = My tailor calls with his little bill
A = The thermometer is high
B = You had better take an umbrella
 

Conjectures about the language of the puzzle