1. Question :
"~ P v Q" is best read as
Student Answer: Not P and Q
INCORRECT It is not the case that P and it is not the case that Q
CORRECT It is not the case that P or Q
It is not the case that P and Q
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 0 of 1
Comments:
2. Question :
"Julie and Kurt got married and had a baby" is best symbolized as
Student Answer: M v B
CORRECT M & B
M → B
M ↔ B
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
3. Question :
In the conditional "P → Q," "Q is a
Student Answer: sufficient condition for Q.
INCORRECT sufficient condition for P.
CORRECT necessary condition for P.
necessary condition for Q.
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 0 of 1
Comments:
4. Question :
Truth tables can
Student Answer: CORRECT display all the possible truth values involved with a set of sentences.
determine what scientific claims are true.
determine if inductive arguments are strong.
determine if inductive arguments are weak.
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
5. Question :
If P is true, and Q is false, the truth-value of "P v Q" is
Student Answer: false.
CORRECT true.
Cannot be determined
All of the above
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
6. Question :
The truth table for a valid deductive argument will show
Student Answer: CORRECT wherever the premises are true, the conclusion is true.
that the premises are false.
that some premises are true, some premises false.
wherever the premises are true, the conclusion is false.
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
7. Question :
The sentence "P ↔ Q" is best read as
Student Answer: If P then Q
If Q then P
P or Q
CORRECT P if and only if Q
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
8. Question :
A sentence is said to be truth-functional if and only if
Student Answer: the sentence might be true.
the truth-value of the sentence cannot be determined from the truth values of its components.
the truth-value of the sentence is determined always to be false.
CORRECT the truth-value of the sentence can be determined from the truth values of its components.
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
9. Question :
Truth tables can be used to examine
Student Answer: inductive arguments.
CORRECT deductive arguments.
abductive arguments.
All of the above
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
10. Question :
Truth tables can determine which of the following?
Student Answer: CORRECT If an argument is valid
If an argument is sound
If a sentence is valid
All of the above
Instructor Explanation: The answer can be found in Chapter Six of An Introduction to Logic.
Points Received: 1 of 1
Comments:
I think you would be more productive if you read Chapter six before you attempt these exercises.
For example:
~p∨q reads as not p or q, with the "not" applying to p only.
1. The correct answer to this question is "It is not the case that P or Q." To understand this, we can break down the statement "~ P v Q" into its components. The "~" symbol represents negation or "not." So "~ P" means "not P," and "v" represents the logical operator "or." Therefore, "~ P v Q" is read as "not P or Q."
2. The correct answer to this question is "M & B." In the statement "Julie and Kurt got married and had a baby," the conjunction "and" is symbolized as "&" in logic. Therefore, "M & B" represents "Julie and Kurt got married and had a baby."
3. The correct answer to this question is "necessary condition for P." In the conditional statement "P → Q," Q is the consequent and P is the antecedent. In a conditional statement, the consequent is the necessary condition for the antecedent. Therefore, Q is a necessary condition for P.
4. The correct answer to this question is "display all the possible truth values involved with a set of sentences." Truth tables are used to display all the possible truth values of a logical expression or a set of sentences. They show the different combinations of truth values for the atomic propositions involved in the expression and determine the truth value of the whole expression.
5. The correct answer to this question is "true." In the logical operator "v," which represents the inclusive disjunction or "or," if either of the propositions is true, the whole expression is true. Since P is true in this case, the truth value of "P v Q" is true, irrespective of whether Q is true or false.
6. The correct answer to this question is "wherever the premises are true, the conclusion is true." A valid deductive argument is one in which the conclusion necessarily follows from the premises. Therefore, in a truth table for a valid deductive argument, wherever the premises are true, the conclusion will also be true.
7. The correct answer to this question is "P if and only if Q." The biconditional operator "↔" represents "if and only if," meaning that both P and Q are true or both P and Q are false. Therefore, "P ↔ Q" is read as "P if and only if Q."
8. The correct answer to this question is "the truth-value of the sentence can be determined from the truth values of its components." A truth-functional sentence is one in which the truth value of the whole sentence can be determined solely based on the truth values of its atomic components and the logical operators connecting them.
9. The correct answer to this question is "deductive arguments." Truth tables are commonly used to analyze and evaluate deductive arguments. By examining the truth values of the premises and the conclusion in various possible scenarios, truth tables can determine whether the argument is logically valid.
10. The correct answer to this question is "If an argument is valid." Truth tables can be used to determine the validity of deductive arguments. By evaluating the truth values of the premises and the conclusion in different scenarios, truth tables can show whether the conclusion necessarily follows from the premises.