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  • Which of the following is a valid inference from the premises "All cats are mammals" and "All mammals have four legs"?    &nbsp

Which of the following is a valid inference from the premises "All cats are mammals" and "All mammals have four legs"? 

 

 

Option: 1

All cats have four legs 


Option: 2

All four-legged animals are mammals 


Option: 3

All mammals are cats


Option: 4

All four-legged animals are cats


Answers (1)

best_answer

To infer a valid conclusion from two premises, we need to use logical reasoning based on the logical connectives and the relationship between the propositions.

Option (1) is correct as in this case, the first premise "All cats are mammals" and the second premise "All mammals have four legs" can be combined using the logical operation of conjunction to form the proposition "All cats are mammals and have four legs". From this proposition, we can infer that "All cats have four legs". 

Option (2) is incorrect as this statement is not a valid inference from the given premises. It is a generalization that is true for some but not all four-legged animals. 

Option (3) is incorrect as this statement is the inverse of the original premise "All cats are mammals", which is not necessarily true. 

Option (4) is incorrect as this statement is the converse of the original premise "All cats are mammals", which is also not necessarily true.

Posted by

Gautam harsolia

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