If the statement is true: 'All cats are mammals.' What can be concluded?

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

Options:

Correct Answer: Some mammals are cats.

Solution:

The conclusion \'Some mammals are cats\' is valid because if all cats are mammals, then it follows that at least some mammals must be cats.

If the statement is true: 'All cats are mammals.' What can be concluded?

If the statement is true: 'All cats are mammals.' What can be concluded?

Step 1: Understand the statement 'All cats are mammals.' This means every single cat belongs to the group of mammals.
Step 2: Think about what it means for something to be a mammal. There are many different types of mammals, and cats are one of those types.
Step 3: Since all cats are included in the group of mammals, it logically follows that there must be some mammals that are specifically cats.
Step 4: Therefore, we can conclude that 'Some mammals are cats' is a valid conclusion based on the original statement.

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