Exam 1

Question 1

Argument composed of 2 statements followed by a conclusion

Answer 1

Syllogism

Question 2

An argument is__________ if the conclusion is guaranteed assuming the premises are true

Answer 2

Valid

Question 3

An Argument is ___________ if the conclusions not guaranteed when the premises are true

Answer 3

Invalid

Question 4

What is the symbol for negation (Not), the denial of a statement?

Answer 4

~

Question 5

What is the symbol for Conjuctions, two or more statements connected with the word and?

Question 6

What is the symbol for disjunctions 2 or more statements connected by the word or

Answer 6

V

Question 7

What is the symbol for conditionals, any statement of the form (if p then q) or equivalent

Answer 7

->

Question 8

All and None are secretly…

Answer 8

If Then Statements

Question 9

The thing that is necessary is the

Answer 9

Then part

Question 10

Ex. Let p=Karlene has to work tonight Let q=Karlene has homework tonight
Karlene has to work or do homework tonight

Answer 10

pVq

Question 11

Ex. Let p=Karlene has to work tonight Let q=Karlene has homework tonight
Karlene has to work or has no homework tonight

Answer 11

pV~q

Question 12

Ex. Let p=Karlene has to work tonight Let q=Karlene has homework tonight
Karlene has no work or she has homework tonight

Answer 12

~pVq

Question 13

Ex. Let p=Karlene has to work tonight Let q=Karlene has homework tonight
Karlene has work and homework tonight or she has no work and no homework

Answer 13

(p^q)V(~p^~q)

Question 14

Ex. Let p=Ester’s car has a flat tire, q=Ester takes the bus, r=Ester is late to class
If Ester’s car has a flat tire and she does not take the bus then, Ester is late for class

Answer 14

(p^~q)->r

Question 15

Ex. Let p=Ester’s car has a flat tire, q=Ester takes the bus, r=Ester is late to class
If Ester’s car does not have a flat tire then she takes the bus or is late for class

Answer 15

(~p)->(qVr)

Question 16

In a truth table, for a conjunction(and), p^q is only true if

Answer 16

p is true and q is true

Question 17

In a truth table, a disjunction (or) pVq is only false if

Answer 17

p and q are false

Question 18

In a truth table, a condition (if,then) p->q is only false if

Answer 18

p is true and q is false`

Question 19

On a truth table with only p & q what is the pattern for p

Answer 19

T T F F

Question 20

On a truth table with only p & q what is the pattern for q

Answer 20

T F T F

Question 21

On a truth table with, p, q and r. What is the pattern for p

Answer 21

T T T T F F F F

Question 22

On a truth table with p, q and r what is the pattern for q

Answer 22

T T F F T T F F

Question 23

On a truth table with p, q and r What is the pattern for r

Answer 23

T F T F T F T F

Question 24

If p=I am nice to you and q=You are my friend What is the symbolic for of this sentence?
If I am Nice to you then you are my friend

Answer 24

p->q

Question 25

If p=I am nice to you and q=You are my friend What is the symbolic for of this sentence?
If you are my friend, then I am nice to you.

Answer 25

q->p

Question 26

If p=I am nice to you and q=You are my friend What is the symbolic for of this sentence?
If I am not nice to you, then you are not my friend.

Answer 26

~p->~q

Question 27

If p=I am nice to you and q=You are my friend What is the symbolic for of this sentence?
If you are not my friend, then I am not nice to you.

Answer 27

~q->~p

Question 28

What is the converse of p->q

Answer 28

q->p

Question 29

What is the inverse of p->q

Answer 29

~p->~q

Question 30

What is the contrapositive of p->q

Answer 30

~q->~p

Question 31

In Biconditionals p and only if q is equivalent to

Answer 31

p->q

Question 32

Using Biconditionals, if and only if q is

Answer 32

p<->q

Question 33

What is the other way you can write a Biconditional for p if and only if q

Answer 33

(p->q)^(q->p)