Logic Ch. 5

which relationship

100

Name the relationship and whether each proposition is true, false, or undetermined:

1. All movies are boring; No movies are boring

Contrariety. 

False; false

200

Some fruit is sweet. Some fruit is not sweet.

Relationship of Opposition:_________________

Proposition one (true or false or undetermined):_____________

Proposition two (true or false or undetermined):_____________

subcontrariety. 

true; true

300

3.  Some chips are salty. All chips are salty

Relationship of Opposition:__________________________

Proposition one (true or false or undetermined):_______________

Proposition two (true or false or undetermined):________________

superimplication

true

false

400

4. No dogs are cats. Some dogs are not cats

Relationship of Opposition:___________________

Proposition one (true or false or undetermined):________________

Proposition two (true or false or undetermined):________________

subimplication. 

true; true

500

5. Some cats are not potty-trained. All cats are potty-trained.

Relationship of Opposition:______________________

Proposition one (true or false or undetermined):________________

Proposition two (true or false or undetermined):________________

superimplication. 

true; false. 

Multiple Choice

100

If I is true, E must be

a. True

b. False

c. Undetermined

False

200

If A is False, I is

a. True

b. False

c. Undetermined

underestimated

300

 By superimplication, the truth-value of an A statement can be determined by the falsity of an I statement.

true

false

undetermined

true

400

By contrariety, A is false if we find that E is false.

true

false

undetermined

undetermined (or false statement)

500

Since it’s true that some bungee cords are not safe, it must be true that some bungee cords are safe.

true

false

undetermined

undetermined. 

If I is true, O can be true or false

Definitions

100

Define Proposition

An accepted truth statement that affirms or denies something about a topic

200

Define Conclusion

Point of persuasion; point of the entire argument

300

Define Premise

the evidence in an argument that supports a conclusion

400

Define Square of Opposition:

diagram that shows the relationship between A, E, I and O statements and what each implies about the other.

500

Define Categorical form

arrangement of terms in a statement so that it either affirms or denies something about a topic. Quantifier, subject, copula, predicate form. 

FILL INS

100

1. Contradiction: Deals with ____ and ____ ; ____ and ____ propositions. When one is true, the other is _______ . When one is false the other is __________

A and O; E and I; false; true.

200

1. Subimplication: Goes from __________ to ___________ propositions. When the first is true, then the other is __________. When the first is false, the other is ____________.

universal; particular

true; undetermined

300

1. Superimplication: Goes from __________ to ___________ propositions. When the first is true then the other is _________________. When the first is false, the other is ________________. . 

particular to universal. undetermined. false.

400

1. Subcontrariety: Deals with ____ and _____  propositions. Both cannot be ______. Both can be ______. When one is true the other is ____________. When one is false, the other must be _____________.

I and O; false; true; undetermined; true

500

1. Contrariety: Deals with ____ and ____ propositions. Both cannot be _____. Both can be ____. When one is true, the other is _________. When one is ______________ , the other is ______________.

A and E; true; false; false; false; undetermined

Square of Opp.

100

The relationship between A and O; E and I

contradiction

200

the relationship between some and some not is called...

subcontrariety.

300

List all of the relationships on the square of opposition

contradiction, subcontrariety, contrariety, subimplication, and superimplication

400

this relationship goes from particular to universal

what is superimplication

500

draw a square of opposition with all relationships and arrows. You have 45 seconds.

Answers may vary