Which of the following is a negation of the statement below?

All cats are not mammals.

All mammals are not cats.

All cats are mammals.

Some cats are mammals.

All mammals are cats.

idk what i think obviously why i asked the internet. What do YOU think?!

The negation of the statement "All cats are not mammals" is "Some cats are mammals."

To find the negation of a statement, you need to negate the entire statement by adding "not" to the main verb or by making changes to the structure of the statement. In this case, the original statement is "All cats are not mammals."

The negation of this statement would be "Some cats are mammals." This negation implies that there is at least one cat that is a mammal, which contradicts the original statement.

So, out of the given options:

- "All mammals are not cats" does not express the negation of the original statement, as it is a different claim altogether.
- "All cats are mammals" is not the negation, as it simply restates the original statement without any negation.
- "Some cats are mammals" is indeed the negation of the original statement, as it contradicts the claim that all cats are not mammals.
- "All mammals are cats" also does not express the negation, as it is a different claim that suggests all mammals are cats, which is not the same as saying all cats are not mammals.

Therefore, the correct negation of the original statement is "Some cats are mammals."

A negation is the opposite.

What do you think?