Use the information about mood and figure to reconstruct the argument. Then, evaluate the argument for Boolean and Aristotelian validity using Venn diagrams. If the argument is valid only in Aristotelian logic, tell me what class must have a member. Make sure to state if the argument is valid or invalid in each logic. (8pts)

1.)  Is an argument that has an AAE mood and a figure 3 valid in either logic?  If so, which logics?  If valid only in Aristotelian logic, what class has to have a member?
 
 

All M  are P.

All M are S.    

No S are P. 

 

Invalid both logics

2.) Is an argument that has an IAI mood and a figure 4 valid in either logic?  If so, which logics?  If valid only in Aristotelian logic, what class has to have a member?
 
 

Some P are M.

All M  are S.

Some S are P.

 

Valid in both logics

Use Venn diagrams to evaluate the validity (both Boolean and Aristotelian) of the following direct inference.  If the argument is valid write the logic or logics in which it is valid. (4pts)

3.) It's false that all Hollywood stars are people who have criminal records.

    Thus, Some Hollywood stars are not people who have criminal records.

 

Valid in both logics

Use Venn diagrams to evaluate the validity (both Boolean and Aristotelian) of the following arguments. If the argument is valid write which logic or logics for which it is valid. If it is valid only in Aristotelian logic write down which class must have at least one member. (6pts) 

 

4.)	All elephants are mammals. All elephants are big things. Thus, some mammals are big things.

 

Invalid Boolean, Valid Aristotelian

 

5.)	All rattlesnakes are warm blooded animals. No poisonous animals are warm blooded. Therefore, some poisonous animals are not rattlesnakes.

Invalid Boolean, Valid Aristotelian

  Translate the following into standard form categorical propositions. (4pts)

6.) Technological achievements are good.
 
   Some technological achievements are things that are good.

7.) You can't teach an old dog new tricks.

  No old dogs are dogs you can teach new tricks.

8.) George Washington didn't chop down the cherry tree.

  No people identical to George Washington are people who chopped down the cherry tree.

9.) "The most interesting people are always the saddest." (from Morgan Lee, newly crowned Miss Gothic Massachusetts)

 All the most interesting people are the saddest people.