CATEGORICAL LOGIC EXERCISES FOR HOMEWORK

 

(1) From memory, give the standard form notation of each of the four categorical forms A E I O.

 

(2) From memory, draw the Venn Diagram for the A E I and O categorical forms.

 

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

a. What is good for the goose is good for the gander

b. A penny saved is a penny earned

c. No one can make you feel inferior without your consent

d. To everything there is a season

e. Do not cast pearls before swine

f. He who lives by the sword, dies by the sword

g. Pride comes before a fall

h. There is nothing new under the sun

i. Not all Marvel movies are horrible

j. Everything is hard before it is easy

k. Hardships often prepare ordinary people for an extraordinary destiny

l. I destroy my enemy when I make him my friend

m. Sometimes good things fall apart

 

(4) From memory, indicate the quality and quantity of the four forms.

 

(5) From memory, indicate the distribution of each term in the four 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 Boolean notation of SP ≠ 0

 

(8) Give the converse of the propositions No S is P

 

(9) Draw the square of opposition.

 

(10) Give the logical contradiction of the proposition: Some S is not P

 

For each of the following, construct the indicated syllogism using S P and M for the terms, test syllogismís validity with a Venn diagram, and test its validity with the five rules.

 

(11) IAI-4

 

(12) AEE-1

 

(13) EIO-2

 

(14) AOO-4

 

(15) OAO-3

 

(16) EOI-3

 

(17) IAI-1

(18) EAE-1

 

(19) AOO-3

 

(20) EOO-2