Essentials Of The Symbolic Logic Set 5

Bachelor of Arts in Philosophy (BA Philosophy)

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This set of Essentials of the Symbolic Logic Multiple Choice Questions & Answers (MCQs) focuses on Essentials Of The Symbolic Logic Set 5

Q1 | An ‘existential quantifier’ is symbolized as ,
  • ‘ ∃x’
  • ‘(x)’
  • ‘ x’
  • ( ∃x )
Answer: ( ∃x )
Q2 | ‘Everything is mortal ‘ is symbolized as …………
  • ( ∃x ) ̴m x
  • ( ∃x ) m x
  • (x) m x
  • (x) ̴m x
Answer: (x) m x
Q3 | ‘ Something is mortal’ is symbolized as
  • (x) m x
  • ( ∃x ) ̴m x
  • (x) ̴m x
  • ( ∃x ) m x
Answer: ( ∃x ) m x
Q4 | ‘ Nothing is mortal’ is symbolized as
  • (x) ̴m x
  • ( ∃x ) m x
  • ( ∃x ) ̴m x
  • (x) m x
Answer: (x) ̴m x
Q5 | ‘Something is not mortal’ is symbolized as
  • (x) m x
  • ( ∃x ) ̴m x
  • ( ∃x ) m x
  • (x) ̴m x
Answer: ( ∃x ) ̴m x
Q6 | The negation of (x) M x is logically equivalent to……………………………….
  • (x) ̴m x
  • ( ∃x ) m x
  • ( ∃x ) ̴m x
  • (x) m x
Answer: ( ∃x ) ̴m x
Q7 | The negation of (x) ̴M x is logically equivalent to……………………………….
  • ( ∃x ) ̴m x
  • (x) ̴m x
  • (x) m x
  • ( ∃x ) m x
Answer: ( ∃x ) m x
Q8 | The negation of ( ∃x) ̴M x is logically equivalent to ………………….
  • (x) m x
  • ( ∃x ) ̴m x
  • (x) ̴m x
  • ( ∃x ) m x
Answer: (x) m x
Q9 | The negation of ( ∃x) M x is logically equivalent to ……………………….
  • ( ∃x ) ̴m x
  • (x) ̴m x
  • ( ∃x ) m x
  • (x) m x
Answer: (x) ̴m x
Q10 | ‘ All fruits are ripe’ is symbolized as
  • ( ∃x ) ( f x . r x )
  • ( ∃x ) ( f x . ̴r x )
  • (x) ( f x Ͻ r x )
  • (x) ( f x Ͻ ̴r x )
Answer: (x) ( f x Ͻ r x )
Q11 | ‘ No fruits are ripe ‘ is symbolized as
  • (x) ( f x Ͻ r x )
  • ( ∃x ) ( f x . ̴r x )
  • (x) ( f x Ͻ ̴r x )
  • ( ∃x ) ( f x . r x )
Answer: (x) ( f x Ͻ ̴r x )
Q12 | ‘Some fruits are ripe’ is symbolized as
  • ( ∃x ) ( f x . ̴r x )
  • ( ∃x ) ( f x . r x )
  • (x) ( f x Ͻ ̴r x )
  • (x) ( f x Ͻ r x )
Answer: ( ∃x ) ( f x . r x )
Q13 | ‘Some fruits are not ripe’ is symbolized as
  • (x) ( f x Ͻ r x )
  • (x) ( f x Ͻ ̴r x )
  • ( ∃x ) ( f x . r x )
  • ( ∃x ) ( f x . ̴r x )
Answer: ( ∃x ) ( f x . ̴r x )
Q14 | As per modern interpretation of traditional subject-predicate propositions,A and O propositions are …………………..
  • contraries
  • sub-contraries
  • sub alterns
  • contradictories
Answer: contradictories
Q15 | As per modern interpretation of traditional subject-predicate propositions,E and I propositions are ………………………………
  • contradictories
  • sub alterns
  • sub-contraries
  • contraries
Answer: contradictories
Q16 | The universal quantification of a propositional function is true if and only if ……...
  • at least one substitution instance is true
  • all of it’s substitution instances are false
  • all of it’s substitution instances are true
  • it has both true and false substitution instances
Answer: all of it’s substitution instances are true
Q17 | The relation between the general propositions (x) Mx and (∃x ) ̴Mx is ……………
  • contrary
  • contradiction
  • sub contrary
  • sub altern
Answer: contradiction
Q18 | The relation between the general propositions (x) ̴Mx and (∃x ) Mx is ………..……
  • contradiction
  • sub contrary
  • sub altern
  • contrary
Answer: contradiction
Q19 | The relation between the general propositions (x) Mx and (x) ̴Mx is ……..………
  • sub contrary
  • contradiction
  • sub altern
  • contrary
Answer: contrary
Q20 | The relation between the general propositions (∃x ) Mx and (∃x ) ̴Mx is …………
  • contrary
  • sub altern
  • sub contrary
  • contradiction
Answer: sub contrary
Q21 | If (x) Mx is true, then (x) ̴Mx is …………………
  • true
  • false
  • true or false
  • valid
Answer: false
Q22 | If (x) Mx is true, then (∃x ) Mx is …………………..
  • false
  • true
  • valid
  • true or false
Answer: true
Q23 | If (x) Mx is true, then (∃x ) ̴Mx is …………………………..
  • true or false
  • true
  • false
  • valid
Answer: false
Q24 | If (x) Mx is false, then (x) ̴Mx is …………………
  • valid
  • true
  • true or false
  • false
Answer: true or false
Q25 | If (x) Mx is false, then (∃x ) Mx is …………………..
  • true or false
  • false
  • valid
  • true
Answer: true or false
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