Question 1

The two types of statements dealt within propositional logic are &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)singular and general statements&#10;B)universal affirmative and universal negative statements&#10;C)particular affirmative and particular negative statements&#10;D)simple and compound statements.

Accepted Answer

Propositional logic, also known as sentential logic, deals with simple and compound statements. Simple statements are indivisible units of information, while compound statements are formed by combining simple statements using logical connectives.

Question 2

In a conditional, the component statement that follows the &#34;if&#34; is called &#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)the &#34;consequent&#34;&#10;B)the &#34;antecedent&#34;&#10;C)the &#34;conjunct&#34;&#10;D)the &#34;disjunct&#34;

Accepted Answer

The statement that follows the "if" in a conditional is called the "antecedent." It represents the condition in the conditional statement.

Question 3

In a conditional, the component statement that follows the &#34;then&#34; is called &#8230;&#8230;&#8230;.&#10;A)the &#34;antecedent&#34;&#10;B)the &#34;consequent&#34;&#10;C)the &#34;disjunct&#34;&#10;D)the &#34;conjunct&#34;

Accepted Answer

The component statement that follows the "then" in a conditional statement is called the "consequent." It represents the outcome or result of the condition being met.

Question 4

The two component statements of conjunction are called&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)the &#34;antecedents&#34;&#10;B)&#34;disjuncts&#34;&#10;C)&#34;conjuncts&#34;&#10;D)the &#34;consequents&#34;

Accepted Answer

In a conjunction, the component statements are called "conjuncts." A conjunction is a compound statement formed by combining two statements with the word "and," and each of the statements is referred to as a conjunct.

Question 5

The two component statements of disjunction are called &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)&#34; conjuncts&#34;&#10;B)the &#34;consequents&#34;&#10;C)&#34;disjuncts&#34;&#10;D)the &#34;antecedents&#34;

Accepted Answer

The two component statements of a disjunction are called "disjuncts."

Question 6

When two statements are combined by using the phrase &#34;if and only if&#34;, the resulting compound statement is called &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)conditional statement&#10;B)bi-conditional statement&#10;C)disjunctive statement&#10;D)conjunctive statement

Accepted Answer

A bi-conditional statement is one that is true if both parts have the same truth value, which is what "if and only if" indicates.

Question 7

Bi-conditional statement is also called &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)implication&#10;B)logical equivalence&#10;C)material implication&#10;D)material equivalence

Accepted Answer

A bi-conditional statement is also known as material equivalence, indicating that both statements are true or both are false.

Question 8

Conditional statement is also called&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)implication&#10;B)material equivalence&#10;C)logical equivalence&#10;D)conjunction

Accepted Answer

A conditional statement, often represented as "if P then Q" or "P implies Q," is also known as an implication in logic.

Question 9

The phrase &#34;if and only if&#34; is used to express&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)sufficient condition&#10;B)both sufficient and necessary condition&#10;C)necessary condition&#10;D)no condition

Accepted Answer

The phrase "if and only if" is used to express a statement that is both a necessary and sufficient condition. This means that the statement is true in one direction and its converse is also true, establishing a precise equivalence between two statements.

Question 10

A compound proposition whose truth-value is completely determined by the truth-values of it's component statements is called &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)bi -conditional&#10;B)non- truth-functional&#10;C)conditional&#10;D)truth-functional

Accepted Answer

A truth-functional proposition is one whose truth value is determined entirely by the truth values of its component propositions, fitting the description given.

Question 11

&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for conjunction&#10;A)The dot &#34;.&#34;&#10;B)the tilde &#34; ~ &#34;&#10;C)the vel &#34;v&#34;&#10;D)the horse shoe&#34; ?&#34;

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for conjunction&#10;A)The dot...

Question 12

&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for weak disjunction&#10;A)the vel &#34;v&#34;&#10;B)The dot &#34;.&#34;&#10;C)the horse shoe&#34; ?&#34;&#10;D)the tilde &#34; ~ &#34;

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for weak disjunction&#10;A)the...

Question 13

&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for negation&#10;A)the horse shoe&#34; ?&#34;&#10;B)the vel &#34;v&#34;&#10;C)the tilde &#34; ~ &#34;&#10;D)The dot &#34;.&#34;

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.. Symbol is used for negation&#10;A)the horse...

Question 14

&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..Symbol is used for bi -conditional&#10;A)the tilde &#34; ~ &#34;&#10;B)&#34;v&#34;&#10;C)&#34; ?&#34;&#10;D)&#34; ? &#34;

Accepted Answer

The answer of &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..Symbol is used for bi -conditional&#10;A)the tilde...

Question 15

A conjunction is true if and only if &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)at least one conjunct is true&#10;B)both of it's conjuncts are true&#10;C)both conjuncts are false&#10;D)none of the above

Accepted Answer

The answer of A conjunction is true if and only...

Question 16

Inclusive or weak disjunction is false only in case &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)both of it's disjuncts are false&#10;B)at least one disjunct is false&#10;C)both disjuncts are true&#10;D)none of the above

Accepted Answer

The answer of Inclusive or weak disjunction is false only...

Question 17

The dot &#34; . &#34;symbol is&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)a truth-functional operator&#10;B)a statement variable&#10;C)propositional function&#10;D)a truth-functional connective

Accepted Answer

The answer of The dot &#34; . &#34;symbol is&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)a truth-functional...

Question 18

The curl &#34; &#34; is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)propositional function&#10;B)a statement variable&#10;C)a truth-functional connective&#10;D)a truth-functional operator

Accepted Answer

The answer of The curl &#34; &#34; is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)propositional function&#10;B)a...

Question 19

Gopal is either intelligent or hard working' is an example for &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)bi-conditional&#10;B)implication&#10;C)inclusive or weak disjunction&#10;D)exclusive or strong disjunction

Accepted Answer

The answer of Gopal is either intelligent or hard working'...

Question 20

'Today is Thursday or Saturday' is an example for&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..&#10;A)implication&#10;B)exclusive disjunction&#10;C)inclusive disjunction&#10;D)bi conditional

Accepted Answer

The answer of 'Today is Thursday or Saturday' is an...

Question 21

'If you study well, then you will pass the examination' is an example for &#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)implication&#10;B)bi-conditional&#10;C)disjunction&#10;D)conjunction

Accepted Answer

The answer of 'If you study well, then you will...

Question 22

A conditional statement asserts that in any case in which it's antecedent is true, it's consequent is &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#10;A)not true&#10;B)true or false&#10;C)false&#10;D)true also

Accepted Answer

The answer of A conditional statement asserts that in any...

Question 23

or a conditional to be true the conjunction &#34; p. q &#34; must be &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)true or false&#10;B)true&#10;C)false&#10;D)undetermined.

Accepted Answer

The answer of or a conditional to be true the...

Question 24

No real connection between antecedent and consequent is suggested by &#8230;&#8230;&#8230;&#8230;&#10;A)decisional implication&#10;B)material implication&#10;C)causal implication&#10;D)definitional implication

Accepted Answer

The answer of No real connection between antecedent and consequent...

Question 25

&#34;it is not the case that the antecedent is true and the consequent is false&#34; is symbolized as&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.&#10;A)p . q )&#10;B)p . q,&#10;C)p . q.&#10;D)p . q

Accepted Answer

The answer of &#34;it is not the case that the...

Deck 9: Propositional Logic and Compound Statements