CATEGORICAL LOGIC IN CLASS EXERCISES

10/29/2015

1. CATEGORICAL STATEMENTS

(1) Give the standard form notation of each of the four categorical forms A E I O.

(2) Put the following propositions into standard categorical form:

a. All jazz musicians play rock music

b. No rock musicians play classical music

c. Some rock musicians do not play jazz music

d. Beethoven was deaf

e. Mozart was not deaf

f. A few philosophers have gone crazy

g. Many philosophers do not go crazy

h. Some philosophy majors work at Walmart

i. Some philosophy majors do not go to law school

j. Kant was the greatest philosopher of all time

k. People are deluded if they think that Kant was the greatest philosopher of all time

l. I have discovered the true meaning of life

m. She screams whenever she looks in the mirror

(3) Indicate the distribution of each term in the four categorical forms.

(4) Indicate the quality and quantity of the four forms.

(5) Draw the Venn Diagram for the A E I and O categorical forms.

(6) Give that Boolean notation of the A E I and O categorical forms.

(7) Use a Venn diagram to diagram the categorical proposition with the Boolian notation of SP=O

(8) Draw the square of opposition.

(9) Give the logical contradiction of the proposition: All S is P

(10) Give the converse of the propositions Some S is P

(11) Using S, P and M, give the syllogism with the mood and figure of AIE-4.

(12) Using S, P and M, give the syllogism with the mood and figure of OAO-3.

(13) Using S, P and M, give the syllogism with the mood and figure of AEE-4.

(14) Using S, P and M, give the syllogism with the mood and figure of AII-1.

(15) Using S, P and M, give the syllogism with the mood and figure of AOO-2.

(16) Use a Venn Diagram to test the validity of the following IAO-3 syllogism:

(1) Some M are P

(2) All M are S

(C) Some S are not P

(17) Use a Venn Diagram to test the validity of the following EIO-1 syllogism:

(1) No M are P

(2) Some S are M

(C) Some S are not P

(18) State in abbreviated form the six rules of validity for categorical syllogisms.

(19) Which rule or rules of validity are broken in the following syllogism:

(1) Some P are M

(2) All M are S

(C) Some S are not P

(20) Create a syllogism that violates each of the 5 rules.

(21) An enthymeme is a syllogism in which one of the three propositions is omitted. Put the following enthymeme into a standard syllogism and, if possible, a syllogism that follows a valid mood and figure: “All true art lovers are people who have a black velvet painting of Elvis, since all true art lovers are people who appreciate true Americana.”