All cats are mammals. Some mammals are not dogs. Therefore, some cats are not do
Practice Questions
Q1
All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. (2023)
True
False
Cannot be determined
None of the above
Questions & Step-by-Step Solutions
All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. (2023)
Step 1: Understand that all cats belong to the group of mammals.
Step 2: Recognize that some mammals do not belong to the group of dogs.
Step 3: Since all cats are mammals, and some mammals are not dogs, it is possible that those cats that are mammals could also be part of the group that is not dogs.
Step 4: Therefore, we can conclude that some cats are not dogs.
Syllogism – The question tests the understanding of logical reasoning through syllogistic arguments, where conclusions are drawn from given premises.
Quantifiers – The use of quantifiers like 'all' and 'some' is crucial in determining the validity of the conclusion based on the premises.
Logical Fallacies – The question assesses the ability to identify potential logical fallacies that may arise from misinterpretation of premises.