If the statement is true: 'All cats are mammals.' What can we conclude?

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Question: If the statement is true: \'All cats are mammals.\' What can we conclude?

Options:

Correct Answer: Some mammals are cats.

Solution:

The conclusion \'Some mammals are cats\' is valid because all cats being mammals implies that there are mammals that are cats.

If the statement is true: 'All cats are mammals.' What can we conclude?

If the statement is true: 'All cats are mammals.' What can we conclude?

Step 1: Understand the statement 'All cats are mammals.' This means every cat belongs to the group of mammals.
Step 2: Think about what it means for something to be a mammal. Mammals are a larger group that includes many animals, like dogs, humans, and cats.
Step 3: Since all cats are included in the group of mammals, we can say that there are some mammals that are specifically cats.
Step 4: Therefore, we can conclude that 'Some mammals are cats' is a true statement based on the original statement.

Logical Deduction – The ability to draw valid conclusions from given premises.
Universal vs. Particular Statements – Understanding the difference between universal statements (e.g., 'All cats are mammals') and particular statements (e.g., 'Some mammals are cats').