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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) .

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301.

If x) Mx is true, then (∃ x) Mx is …………………

A. true or false
B. false
C. true
D. valid
Answer» B. false
discuss
302.

If x) Mx is true, then (∃ x ) Mx is …………………

A. valid
B. true
C. true or false
D. false
Answer» B. true
discuss
303.

If x) Mx is true, then x) Mx is …………………

A. false
B. true or false
C. true
D. valid
Answer» A. false
discuss
304.

If x) Mx is false, then x) Mx is …………………

A. true or false
B. true
C. valid
D. false
Answer» A. true or false
discuss
305.

If x) Mx is false, then (∃ x) Mx is …………………

A. false
B. valid
C. true
D. true or false
Answer» C. true
discuss
306.

If x) Mx is false, then (∃ x ) Mx is …………………

A. true or false
B. true
C. false
D. valid
Answer» A. true or false
discuss
307.

If (∃ x ) Mx is true, then x) Mx is …………………

A. false
B. valid
C. true
D. true or false
Answer» D. true or false
discuss
308.

If (∃ x ) Mx is true, then x) Mx is …………………

A. valid
B. true or false
C. false
D. true
Answer» C. false
discuss
309.

If (∃ x ) Mx is true, then (∃ x ) Mx is …………………

A. true
B. false
C. true or false
D. valid
Answer» C. true or false
discuss
310.

If (∃ x ) Mx is false, then x) Mx is …………………

A. true or false
B. valid
C. true
D. false
Answer» D. false
discuss
311.

If (∃ x ) Mx is false, then x) Mx is …………………

A. valid
B. false
C. true or false
D. true
Answer» D. true
discuss
312.

If (∃ x ) Mx is false, then (∃ x ) Mx is …………………

A. true
B. true or false
C. valid
D. false
Answer» A. true
discuss
313.

If (∃ x ) Mx is true , then x) Mx is …………………

A. false
B. true or false
C. valid
D. true
Answer» A. false
discuss
314.

If (∃ x ) Mx is true , then x) Mx is …………………

A. true
B. false
C. true or false
D. valid
Answer» C. true or false
discuss
315.

If (∃ x ) Mx is true, then (∃ x ) Mx is …………………

A. valid
B. true or false
C. false
D. true
Answer» B. true or false
discuss
316.

If (∃ x ) Mx is false, then x) Mx is …………………

A. true
B. true or false
C. valid
D. false
Answer» A. true
discuss
317.

If (∃ x ) Mx is false, then x) Mx is …………………

A. true
B. true
C. false
D. valid
Answer» C. false
discuss
318.

If (∃ x ) Mx is false, then (∃ x ) Mx is …………………

A. true
B. false
C. valid
D. true or false
Answer» A. true
discuss
319.

If (x) ( H x Ͻ Mx ) is true, then (∃ x ) x . Mx ) is …………………

A. true
B. true or false
C. false
D. valid
Answer» C. false
discuss
320.

If (x) ( H x Ͻ Mx ) is false , then (∃ x ) x . Mx ) is …………………………

A. valid
B. true
C. true or false
D. false
Answer» B. true
discuss
321.

If (x) ( H x Ͻ Mx) is true, then (∃ x ) x . Mx ) is……………………….

A. false
B. valid
C. true
D. true or false
Answer» A. false
discuss
322.

If (x) ( H x Ͻ Mx ) is false , then (∃ x ) x . Mx ) is ……………………….

A. true or false
B. false
C. valid
D. true
Answer» D. true
discuss
323.

If (∃ x ) ( H x . Mx ) is true, then (x) ( H x Ͻ Mx ) is …………………

A. true
B. true or false
C. false
D. valid
Answer» C. false
discuss
324.

If (∃ x ) ( H x . Mx ) is false , then (x) ( H x Ͻ Mx ) is …………………

A. valid
B. true
C. true or false
D. false
Answer» B. true
discuss
325.

If (∃ x ) x . Mx ) is true, then (x) ( H x Ͻ Mx ) is ………………..

A. false
B. valid
C. true
D. true or false
Answer» A. false
discuss
326.

If (∃ x ) x . Mx ) is false , then (x) ( H x Ͻ Mx ) is ………………..

A. valid
B. false
C. true or false
D. true
Answer» D. true
discuss
327.

The ____________of an argument is that proposition which is affirmed on the basis of other propositions of the argument.

A. Questions
B. Propositions
C. Commands
D. Exclamations
Answer» B. Propositions
discuss
328.

Every argument has a _________, in the analysis of which the terms ‘Premise’ and ‘conclusion’ are usually employed.

A. language
B. context
C. Structure
D. absolute
Answer» C. Structure
discuss
329.

Deductive argument involve the claim that its premises provide __________ grounds for the truth of their conclusion

A. absolute
B. some
C. certain
D. trivial
Answer» C. certain
discuss
330.

Inductive arguments involve the claim only that their premises provide __________ grounds for their conclusions.

A. two
B. essential
C. degree
D. difference
Answer» B. essential
discuss
331.

Arguments, however are not properly characterized as being either true or false but valid and _________.

A. large
B. simple
C. complex
D. vague
Answer» D. vague
discuss
332.

Conjunctions are truth functionally ____________ statements.

A. compound
B. simple
C. vague
D. large
Answer» A. compound
discuss
333.

The truth value of _______ statement is true.

A. false
B. true
C. probable
D. conjunction
Answer» B. true
discuss
334.

The truth value of the ____________ of two statements is completely determined by the truth value of its conjuncts.

A. Disjunction
B. contradiction
C. Dilemma
D. conjunction
Answer» D. conjunction
discuss
335.

The statement Roses are red and leafs are green is a _________________ a) Conjunction b) Negation c) Disjunction d) Conditional

A. part
B. disjuncts
C. value
D. reason
Answer» A. part
discuss
336.

When two statements are combined disjunctively by inserting the word ‘or’ between

A. addition
B. disjunction
C. negation
D. dilemma
Answer» B. disjunction
discuss
337.

Any conditional with a true antecedent and a false consequent must ____________

A. variable
B. disjunction
C. negation
D. antecedent
Answer» C. negation
discuss
338.

An invalid argument form is one that has at least one substitution_________ with true premises and a false conclusion

A. variable
B. element
C. Instance
D. value
Answer» C. Instance
discuss
339.

Raju is either sick or lazy is an example for

A. conjunction
B. Implication
C. disjunction
D. Negation
Answer» C. disjunction
discuss
340.

A ____________proposition do not contain any other proposition as its constituent

A. Compound
B. Simple
C. true
D. false
Answer» B. Simple
discuss
341.

A _______________proposition is one which contains other proposition as it’s Component

A. Simple
B. atomic
C. Compound
D. false
Answer» C. Compound
discuss
342.

The symbolization for disjunction is __________

A. %
B. $
C. v
D. ~
Answer» C. v
discuss
343.

Validity of a deductive argument depends upon the ________ of the argument.

A. justification
B. content
C. form
D. function
Answer» C. form
discuss
344.

An argument is sound when it is factually correct and is __________

A. invalid
B. probable
C. vague
D. valid
Answer» D. valid
discuss
345.

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

A. consequent
B. antecedent
C. “conjunct”
D. disjunct
Answer» A. consequent
discuss
346.

Terms are constituents of logical ____________

A. proposition
B. grammer
C. Sentences
D. subject
Answer» A. proposition
discuss
347.

The symbol used for weak disjunction is

A. ~
B. ↄ
C. v
D. ≠
Answer» C. v
discuss
348.

The symbol used for Biconditional is

A. ≠
B. ≡
C. ψ
D. ~
Answer» B. ≡
discuss
349.

The symbolization for “it is not the case that the antecedent is true and the consequent is false” is _________________

A. ~p
B. p . ~q
C. ~p . ~q
D. ~( p . ~q )
Answer» D. ~( p . ~q )
discuss
350.

The statement form ~( p . ~q ) is equivalent to which of the following

A. ~p.q
B. ~p v q
C. p.~q
D. pvq
Answer» B. ~p v q
discuss

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