Revenge on Susan
Susan posted a few problems to solve here.
Just for revenge, I'm going to post a few of my own.
Each of the following sets of propositions can serve as premisses for a valid sorites. For each, find the conclusion. Note: some of these are from Lewis Carroll, and some from Copi and Cohen.
1. a. No one reads the Times unless he is well educated.
b. No hedgehogs can read.
c. Those who cannot read are not well educated.
2. a. When I work a logic example without grumbling, you may be sure it is one that I can understand.
b. These sorites are not arranged in regular order, like the examples I am used to.
c. No easy example ever makes my head ache.
d. I can't understand examples that are not arranged in regular order, like the examples I am used to.
e. I never grumble at an example, unless it gives me a headache.
3. a. Babies are illogical.
b. Nobody is despised who can manage a crocodile.
c. Illogical persons are despised.
4. a. No ducks waltz.
b. No officers ever decline to waltz.
c. All my poultry are ducks.
5. a. Every one who is sane can do Logic.
b. No lunatics are fit to serve on a jury.
c. None of your sons can do Logic.
Five men who were buddies in the last war are having a reunion. They are White, Brown, Peters, Harper, and Nash, who by occupation are printer, writer, barber, neurologist,and heating contractor. By coincidence, they live in the cities of White Plains, Brownsville, Petersburg, Harper's Ferry, and Nashville, but no man lives in the city having a name similar to his, nor does the name of his occupation have the same initial as his name or the name of the city in which he lives.
The barber doesn't live in Petersburg, and Brown is neither a heating contractor nor a printer - nor does he live in Petersburg or Harper's Ferry. Mr. Harper lives in Nashville and is neither barber nor writer. White is not a resident of Brownsville, nor is Nash, who is not a barber nor a heating contractor. With only the information given, determine the name of the city in which Nash resides.
The following is an LSAT-type game.
1. Frank is the same height as Hank.
2. George is taller than Frank.
3. Eric is taller than Adam.
4. Adam is taller than David and Carl.
5. Bob is shorter than Carl.
Which one of the following must be false?
a. George is taller than Hank.
b. Carl is taller than David.
c. Adam is taller than Frank.
d. David is the same height as Carl.
e. Bob is the same height as Eric.