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  • Which of the following is the disjunction of the statements "All cats are mammals" and "Some mammals are not cats"? Option: 1<

Which of the following is the disjunction of the statements "All cats are mammals" and "Some mammals are not cats"? 

Option: 1

All cats are not mammals or some mammals are cats 


Option: 2

All cats are mammals or some mammals are not cats 


Option: 3

No cats are mammals or no mammals are cats


Option: 4

Some cats are not mammals or no mammals are cats


Answers (1)

best_answer

Disjunction is the logical operation of connecting two or more propositions using the operator "or". 

Option (2) is correct as in this case, the disjunction is between the statements "All cats are mammals" and "Some mammals are not cats", and the resulting compound statement is true if at least one of the statements is true. 

Option (1) is incorrect as this statement is not equivalent to the disjunction of the original statements. It is a statement of the form "not A or B", which is logically equivalent to "A implies B". 

Option (3) is incorrect as this statement is the negation of the conjunction of the original statements, not the disjunction. 

Option (4) is incorrect as this statement is not equivalent to the disjunction of the original statements. It is a statement of the form "A or not B", which is logically equivalent to "A implies B".

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