Question: Identify the logical conclusion: \'All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs.\'
Options:
True
False
Cannot be determined
None of the above
Correct Answer: True
Solution:
The conclusion is true based on the premises provided.
Identify the logical conclusion: 'All cats are mammals. Some mammals are not dog
Practice Questions
Q1
Identify the logical conclusion: 'All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs.'
True
False
Cannot be determined
None of the above
Questions & Step-by-Step Solutions
Identify the logical conclusion: 'All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs.'
Step 1: Understand the first statement: 'All cats are mammals.' This means every cat belongs to the group of mammals.
Step 2: Understand the second statement: 'Some mammals are not dogs.' This means there are mammals that are not dogs.
Step 3: Combine the information: Since all cats are mammals and some mammals are not dogs, it is possible that some of those mammals that are not dogs could be cats.
Step 4: Draw the conclusion: Therefore, it is logical to say that some cats are not dogs.
Syllogism – The question tests the ability to draw logical conclusions from given premises.
Quantifiers – Understanding the implications of 'all' and 'some' in logical statements.
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