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380+ Symbolic Logic Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Arts in Philosophy (BA Philosophy) , Master of Arts in Philosophy (MA Philosophy) .

201.

The two types of statements dealt within propositional logic are ……………………

A. singular and general statements
B. universal affirmative and universal negative statements
C. particular affirmative and particular negative statements
D. simple and compound statements.
Answer» D. simple and compound statements.
202.

In a conditional, the component statement that follows the “if” is called ……………

A. the “consequent”
B. the “antecedent”
C. the “conjunct”
D. the “disjunct”
Answer» B. the “antecedent”
203.

In a conditional, the component statement that follows the “then” is called ……….

A. the “antecedent”
B. the “consequent”
C. the “disjunct”
D. the “conjunct”
Answer» B. the “consequent”
204.

The two component statements of conjunction are called……………………………..

A. the “antecedents”
B. ”disjuncts”
C. “conjuncts”
D. the “consequents”
Answer» C. “conjuncts”
205.

The two component statements of disjunction are called ……………………………….

A. ” conjuncts”
B. the “consequents”
C. “disjuncts”
D. the “antecedents”
Answer» C. “disjuncts”
206.

When two statements are combined by using the phrase “if and only if”, the resulting compound statement is called …………………………………………..

A. conditional statement
B. bi-conditional statement
C. disjunctive statement
D. conjunctive statement
Answer» B. bi-conditional statement
207.

Bi-conditional statement is also called ………………….

A. implication
B. logical equivalence
C. material implication
D. material equivalence
Answer» D. material equivalence
208.

Conditional statement is also called………………………………….

A. implication
B. material equivalence
C. logical equivalence
D. conjunction
Answer» A. implication
209.

The phrase “if and only if” is used to express……………………………………………………….

A. sufficient condition
B. both sufficient and necessary condition
C. necessary condition
D. no condition
Answer» B. both sufficient and necessary condition
210.

A compound proposition whose truth-value is completely determined by the truth-values of it’s component statements is called …………………….

A. bi -conditional
B. non- truth-functional
C. conditional
D. truth-functional
Answer» D. truth-functional
211.

………………………….. Symbol is used for conjunction

A. The dot “.”
B. the tilde “ ~ ”
C. the vel ”v”
D. the horse shoe” Ͻ”
Answer» A. The dot “.”
212.

………………………….. Symbol is used for weak disjunction

A. the vel ”v”
B. The dot “.”
C. the horse shoe” Ͻ”
D. the tilde “ ~ ”
Answer» A. the vel ”v”
213.

………………………….. Symbol is used for negation

A. the horse shoe” Ͻ”
B. the vel ”v”
C. the tilde “ ~ ”
D. The dot “.”
Answer» C. the tilde “ ~ ”
214.

…………………………..Symbol is used for bi –conditional

A. the tilde “ ~ ”
B. ”v”
C. ” Ͻ”
D. “ ≡ “
Answer» D. “ ≡ “
215.

A conjunction is true if and only if ……………………………………….

A. at least one conjunct is true
B. both of it’s conjuncts are true
C. both conjuncts are false
D. none of the above
Answer» B. both of it’s conjuncts are true
216.

Inclusive or weak disjunction is false only in case ……………………………………………….

A. both of it’s disjuncts are false
B. at least one disjunct is false
C. both disjuncts are true
D. none of the above
Answer» A. both of it’s disjuncts are false
217.

The dot “ . ”symbol is……………………………………..

A. a truth-functional operator
B. a statement variable
C. propositional function
D. a truth-functional connective
Answer» D. a truth-functional connective
218.

The curl “ “ is ……………………………………………………..

A. propositional function
B. a statement variable
C. a truth-functional connective
D. a truth-functional operator
Answer» D. a truth-functional operator
219.

Gopal is either intelligent or hard working’ is an example for …………………………

A. bi-conditional
B. implication
C. inclusive or weak disjunction
D. exclusive or strong disjunction
Answer» C. inclusive or weak disjunction
220.

‘Today is Thursday or Saturday’ is an example for………………………………..

A. implication
B. exclusive disjunction
C. inclusive disjunction
D. bi conditional
Answer» B. exclusive disjunction
221.

’If you study well, then you will pass the examination’ is an example for ……………

A. implication
B. bi-conditional
C. disjunction
D. conjunction
Answer» A. implication
222.

A conditional statement asserts that in any case in which it’s antecedent is true, it’s consequent is ……………………………

A. not true
B. true or false
C. false
D. true also
Answer» D. true also
223.

or a conditional to be true the conjunction “ p. q “ must be ……………….

A. true or false
B. true
C. false
D. undetermined.
Answer» C. false
224.

No real connection between antecedent and consequent is suggested by …………

A. decisional implication
B. material implication
C. causal implication
D. definitional implication
Answer» B. material implication
225.

“it is not the case that the antecedent is true and the consequent is false” is symbolized as……………………………………….

A. p . q )
B. p . q
C. p . q
D. p . q
Answer» A. p . q )
226.

‘ q if p ‘ is symbolized as……………………………….

A. ‘q Ͻ p’
B. ‘p ≡ q’
C. ‘p v q’
D. ’ p Ͻ q ‘
Answer» D. ’ p Ͻ q ‘
227.

“p only if q “ is symbolized as ……………………….

A. ‘p ≡ q’
B. ‘ p Ͻ q ‘
C. ‘q Ͻ p’
D. ‘p v q’
Answer» B. ‘ p Ͻ q ‘
228.

’ The conjunction of p with the disjunction of q with r’, is symbolized as …….

A. ( p vq ) . r
B. ( p . q ) v r
C. p . ( q v r )
D. p v ( q . r )
Answer» C. p . ( q v r )
229.

‘The disjunction whose first disjunct is the conjunction of p and q and whose second disjunct is r ‘ is symbolized as ………………………..

A. p v ( q . r )
B. ( p vq ) . r
C. p . ( q v r )
D. ( p . q ) v r
Answer» D. ( p . q ) v r
230.

The negaton of A V B is symbolized as ………………

A. A v B
B. ( A V B )
C. A V B
D. A V B
Answer» B. ( A V B )
231.

‘ A and B will not both be selected ’ is symbolized as ………………………..

A. ( A . B )
B. A v B
C. A V B
D. A . B
Answer» A. ( A . B )
232.

Ramesh and Dinesh will both not be elected.

A. A V B
B. A . B
C. ( A . B )
D. A v B
Answer» B. A . B
233.

An argument can be proved invalid by constructing another argument of the same form with …………………….

A. false premises and false conclusion
B. true premises and false conclusion
C. true premises and true conclusion
D. false premises and true conclusion
Answer» B. true premises and false conclusion
234.

…………………………… can be defined as an array of symbols containing statement variables but no statements, such that when statements are substituted for statement variables- the same statement being substituted for the same statement variable throughout – the result is an argument

A. specific statement form
B. A statement form
C. An argument form
D. An argument
Answer» C. An argument form
235.

Any argument that results from the substitution of statements for statement variables in an argument form is called ………………………………

A. invalid argument
B. valid argument
C. the specific form
D. a “ substitution instance” of that argument form
Answer» D. a “ substitution instance” of that argument form
236.

In case an argument is produced by substituting a different simple statement for each different statement variable in an argument form, that argument form is called ……………………

A. the “specific form” of that argument
B. a “ substitution instance” of that argument form
C. valid argument
D. invalid argument
Answer» A. the “specific form” of that argument
237.

If the specific form of a given argument has any substitution instance whose premises are true and whose conclusion is false, then the given argument is.

A. valid
B. invalid
C. valid or invalid
D. sound
Answer» B. invalid
238.

Refutation by logical analogy is based on the fact that any argument whose specific form is an invalid argument form is ………………………..

A. sound
B. a contradiction
C. an invalid argument.
D. a valid argument
Answer» C. an invalid argument.
239.

Fallacy of Affirming the Consequent- is symbolized as

A. P Ͻ q
B. P Ͻ q
C. P Ͻ q
D. P Ͻ q
Answer» C. P Ͻ q
240.

Fallacy of Denyingthe Antecedent- is symbolized as

A. P Ͻ q
B. P Ͻ q
C. P Ͻ q
D. P Ͻ q
Answer» C. P Ͻ q
241.

’statement form from which the statement results by substituting a different simple statement for each different statement variable’ is called ……………………..

A. the specific form of a given argument
B. tautology
C. contradiction
D. the specific form of a given statement
Answer» D. the specific form of a given statement
242.

A statement form that has only true substitution instances is called ……………………

A. a “ tautologous statement form “ or a “ tautology”
B. a self-contradictory statement form or contradiction
C. A contingent statement form
D. specific statement form
Answer» A. a “ tautologous statement form “ or a “ tautology”
243.

Statement forms that have both true and false statements among their substitution instances are called ……………………………………………..

A. tautologous statement forms
B. contingent statement forms
C. self-contradictory statement forms
D. specific statement forms
Answer» B. contingent statement forms
244.

Two statements are ………………… when their material equivalence is a tautology

A. self-contradictory
B. contingent
C. logically equivalent
D. materially implying
Answer» C. logically equivalent
245.

…………………. statements have the same meaning and may be substituted for one another

A. Materially equivalent
B. Logically equivalent
C. Tautologous
D. self-contradictory
Answer» B. Logically equivalent
246.

p v q) is logically equivalent to ………………………………..

A. p . q
B. p v q
C. p v q
D. p v q
Answer» A. p . q
247.

. p . q) is logically equivalent to …………………………………..

A. p v q
B. p . q
C. p v q
D. p v q
Answer» C. p v q
248.

An argument form is valid if and only if it’s expression in the form of a conditional statement is ……………

A. a contradiction
B. a biconditional
C. a tautology
D. material implication
Answer» C. a tautology
249.

“If a statement is true, then it is implied by any statement whatever” is symbolized as

A. p Ͻ (p Ͻ q)
B. p Ͻ (q Ͻ p)
C. p Ͻ (P Ͻ q)
D. p Ͻ (q Ͻ p)
Answer» B. p Ͻ (q Ͻ p)
250.

“ If a statement is false, then it implies any statement whatever”

A. p Ͻ (P Ͻ q)
B. p Ͻ (p Ͻ q)
C. p Ͻ (q Ͻ p)
D. p Ͻ (q Ͻ p)
Answer» A. p Ͻ (P Ͻ q)

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