Question 1

The connective "$\supset$" is called:

Accepted Answer

A) "dot" 
B) "tilde" 
C) "wedge" 
D) "horseshoe" 
E) "triple bar" 
A) "dot" 
B) "tilde" 
C) "wedge" 
D) "horseshoe" 
E) "triple bar"

Question 2

Prove the following claim:
If p is a tautology and q is a self-contradiction, then p $\equiv$ q is a self-contradiction.

Accepted Answer

Suppose p is a tautology and q is a self

Question 3

Identify the main connective in the following statement. L $\supset$ [(W $\supset$ L) $\bigvee$ ~(Y $\supset$ T)]

Accepted Answer

A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~ 
A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~

Question 4

A biconditional statement whose main components are consistent statements is itself a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 5

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it.
Tom reads a lot and is in good health, but he's aging.(R, G, A)

Accepted Answer

The main connective is "but," which is s

Question 6

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
The plant will die if it is not getting sun and not getting water.

Accepted Answer

The answer of Put the following statement into symbolic notation,...

Question 7

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components.
I'll ask his advice if and only if I consider him to be a worthy sage.

Accepted Answer

Components: I'll ask his advic

Question 8

The connective "$\bigvee$" is called:

Accepted Answer

A) "dot" 
B) "tilde" 
C) "wedge" 
D) "horseshoe" 
E) "triple bar" 
A) "dot" 
B) "tilde" 
C) "wedge" 
D) "horseshoe" 
E) "triple bar"

Question 9

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components.
If you wait in line a long time, there is a good chance you are in the wrong line.

Accepted Answer

Components: You wait in line a

Question 10

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it.
You can get either soup or salad with the meal, but not both.(U, A)

Accepted Answer

The main connective is "but," which is s

Question 11

Identify which of the following is a correct symbolization of the following statement. If the shoe fits, then one has to wear it.

Accepted Answer

A) F • W 
B) F $\bigvee$ W 
C) F $\supset$ W 
D) F $\equiv$ W 
E) F 
A) F • W 
B) F $\bigvee$ W 
C) F $\supset$ W 
D) F $\equiv$ W 
E) F

Question 12

A biconditional statement whose main components are equivalent statements is itself a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 13

Symbolize "not both p and q."

Accepted Answer

A) ~p • ~q 
B) ~p • q 
C) ~( p • q) 
D) ( p vq) • ~( p • q) 
E) ( pv q) • (~p   q) 
A) ~p • ~q 
B) ~p • q 
C) ~( p • q) 
D) ( p vq) • ~( p • q) 
E) ( pv q) • (~p   q)

Question 14

If at least one disjunct of a disjunction is a contingency, then the disjunction itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 15

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components.
He will quit his job only if he gets a big raise.

Accepted Answer

The answer of Put the following statement into symbolic notation,...

Question 16

Two statements are inconsistent.Therefore, they are also:

Accepted Answer

A) contradictory 
B) consistent 
C) inconsistent 
D) tautological 
E) unable to determine from the information given 
A) contradictory 
B) consistent 
C) inconsistent 
D) tautological 
E) unable to determine from the information given

Question 17

Identify which of the following is a correct symbolization of the following statement. The doctors X-rayed my head and did not find anything.

Accepted Answer

A) X • ~F 
B) X $\bigvee$ ~F 
C) X $\supset$ ~F 
D) X $\equiv$ ~F 
E) X $\supset$ F 
A) X • ~F 
B) X $\bigvee$ ~F 
C) X $\supset$ ~F 
D) X $\equiv$ ~F 
E) X $\supset$ F

Question 18

If at least one main component of a biconditional is a tautology, then the biconditional itself is a:

Accepted Answer

A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given 
A) tautology 
B) self-contradiction 
C) contingency 
D) coherency 
E) unable to determine from the information given

Question 19

Symbolize "neither p nor q."

Accepted Answer

A) ~p $\bigvee$ ~q 
B) (~p $\bigvee$ ~q) • (p • q) 
C) ~( p $\bigvee$ q) 
D) ( p $\bigvee$ q) • ~( p • q) 
E) ( p $\bigvee$ q) • (~p$\supset$ q) 
A) ~p $\bigvee$ ~q 
B) (~p $\bigvee$ ~q) • (p • q) 
C) ~( p $\bigvee$ q) 
D) ( p $\bigvee$ q) • ~( p • q) 
E) ( p $\bigvee$ q) • (~p$\supset$ q)

Question 20

Identify the main connective in the following statement. (D$\supset$ N) • (F$\supset$ Y)

Accepted Answer

A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~ 
A) • 
B) $\bigvee$ 
C) $\supset$ 
D) $\equiv$ 
E) ~

The connective " $\supset$ " is called:

Prove the following claim: If p is a tautology and q is a self-contradiction, then p $\equiv$ q is a self-contradiction.

Identify the main connective in the following statement. L $\supset$ [(W $\supset$ L) $\bigvee$ ~(Y $\supset$ T)]

A biconditional statement whose main components are consistent statements is itself a:

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. Tom reads a lot and is in good health, but he's aging.(R, G, A)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The plant will die if it is not getting sun and not getting water.

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. I'll ask his advice if and only if I consider him to be a worthy sage.

The connective " $\bigvee$ " is called:

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. If you wait in line a long time, there is a good chance you are in the wrong line.

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. You can get either soup or salad with the meal, but not both.(U, A)

Identify which of the following is a correct symbolization of the following statement. If the shoe fits, then one has to wear it.

A biconditional statement whose main components are equivalent statements is itself a:

Symbolize "not both p and q."

If at least one disjunct of a disjunction is a contingency, then the disjunction itself is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. He will quit his job only if he gets a big raise.

Two statements are inconsistent.Therefore, they are also:

Identify which of the following is a correct symbolization of the following statement. The doctors X-rayed my head and did not find anything.

If at least one main component of a biconditional is a tautology, then the biconditional itself is a:

Symbolize "neither p nor q."

Identify the main connective in the following statement. (D $\supset$ N) • (F $\supset$ Y)

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Arguments

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

Exam 9: Propositional Logic-Propositions

The connective " ⊃\supset⊃ " is called:

Prove the following claim: If p is a tautology and q is a self-contradiction, then p ≡\equiv≡ q is a self-contradiction.

Identify the main connective in the following statement. L ⊃\supset⊃ [(W ⊃\supset⊃ L) ⋁\bigvee⋁ ~(Y ⊃\supset⊃ T)]

A biconditional statement whose main components are consistent statements is itself a:

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. Tom reads a lot and is in good health, but he's aging.(R, G, A)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The plant will die if it is not getting sun and not getting water.

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. I'll ask his advice if and only if I consider him to be a worthy sage.

The connective " ⋁\bigvee⋁ " is called:

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. If you wait in line a long time, there is a good chance you are in the wrong line.

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. You can get either soup or salad with the meal, but not both.(U, A)

Identify which of the following is a correct symbolization of the following statement. If the shoe fits, then one has to wear it.

A biconditional statement whose main components are equivalent statements is itself a:

Symbolize "not both p and q."

If at least one disjunct of a disjunction is a contingency, then the disjunction itself is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. He will quit his job only if he gets a big raise.

Two statements are inconsistent.Therefore, they are also:

Identify which of the following is a correct symbolization of the following statement. The doctors X-rayed my head and did not find anything.

If at least one main component of a biconditional is a tautology, then the biconditional itself is a:

Symbolize "neither p nor q."

Identify the main connective in the following statement. (D ⊃\supset⊃ N) • (F ⊃\supset⊃ Y)

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Arguments

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

The connective " $\supset$ " is called:

Prove the following claim: If p is a tautology and q is a self-contradiction, then p $\equiv$ q is a self-contradiction.

Identify the main connective in the following statement. L $\supset$ [(W $\supset$ L) $\bigvee$ ~(Y $\supset$ T)]

The connective " $\bigvee$ " is called:

Identify the main connective in the following statement. (D $\supset$ N) • (F $\supset$ Y)