Flashcards in Identifying Argument Patterns Deck (26)

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1

##
1.PorQ.

2. -P.

3. Q.

###
Argument by Elimination

Valid Sentential

2

##
1.IfPthenQ. 2. P.

3. Q.

###
Affirming the Antecedent

Valid Sentential

3

##
1.If P then Q.

2.If Q then R.

3.If P then R.

###
Hypothetical Syllogism

Valid Sentential

4

##
1. P.

2. Q.

3.P and Q.

###
Conjunction

Valid Sentential

5

##
1.If P then Q.

2. -Q.

3. -P.

###
Denying the Consequent

Valid Sentential

6

##
1.If P then Q.

2. If -Q then -P.

###
Contraposition

Valid Sentential

7

##
1.P and Q

2. P.

###
Simplification

Valid Sentential

8

##
1. - -P

2.P

###
Double Negation

Valid Sentential

9

##
1.P ifandonlyif Q.

2. -P.

3. -Q.

###
Equivalence

Valid Sentential

10

##
1. If P then Q.

2. -P

3. -Q.

###
Denying the Antecedent

Invalid Sentential

11

##
1. If P then Q.

2. Q.

3. P.

###
Affirming the Consequent

Invalid Sentential

12

##
1. All As are Bs.

2.x is an A.

3.x is a B.

### Valid Predicate

13

##
1. All As are Bs.

2. All Bs are Cs.

3. All As are Cs.

### Valid Predicate

14

##
1. All As are Bs.

2.x is not a B.

3.x is not an A.

### Valid Predicate

15

##
1.No As are Bs.

2.x is an A.

3.x is not a B.

### Valid Predicate

16

##
1. All As are Bs.

2. x is not an A.

3. x is not a B.

### Invalid Predicate

17

##
1. All As are Bs.

2.xisaB.

3.xisanA.

### Invalid Predicate

18

##
1. Most As are Bs.

2. x is an A.

3. x is a B.

### Cogent

19

##
1.x is an A

2.x is a B

3. Most ABs are Cs.

4. x is a C

### Cogent

20

##
1. Most As are Bs.

2. x is not an A.

3. x is not a B.

### Ill Formed

21

##
1. Most As are Bs.

2. x is a B.

3. x is an A.

### Ill Formed

22

## Affirming the Antecedent Ex.

###
1. If the Prime Minister is at 24 Sussex Drive, then the Prime Minister is in Ottawa.

2. The Prime Minister is at 24 Sussex Drive.

3. The Prime Minister is in Ottawa.

Affirming the Antecedent

1. If P then Q. 2. P.

3. Q.

23

## Denying the Consequent Ex

###
1. If the Prime Minister is at 24 Sussex Drive, then the Prime Minister is in Ottawa.

2. The Prime Minister is not in Ottawa.

3. Prime Minister is not at 24 Sussex Drive.

Denying the Consequent

1. If P then Q.

2. -Q.

3. -P.

24

## Hypothetical Syllogism Ex

###
1. If the Prime Minister is at 24 Sussex Drive, then the Prime Minister is in Ottawa

2. If the Prime Minister is in Ottawa, then the Prime Minister is not on vacation.

3. If the Prime Minister is at 24 Sussex Drive, then the Prime Minister is not on vacation.

Hypothetical Syllogism

1. If P then Q. 2. If Q then R. 3. If P then R.

25

## 3 ways to test for validity:

###
1. Find a counterexample to the argument.

2. Find a counterexample to the argument’s pattern.

3. Check the list of argument patterns.

26