Question

If the animal has four legs, then it is a dog.
Would a counterexample of this be like:
If the animal has four legs, then it is a cat?

Answer 1

To disprove "If the animal has four legs, then it is a dog" all you have to do is think of any four-legged creature that is not a dog. A cat is one example.

A cat has four legs, but it is not a dog.

Answer 2

"If the animal has four legs..." that part is true (because a cat has 4 legs)

"...then it is a dog" but that's false because a cat is not a dog

Answer 3

So while the first part must hold true the second part has to go against what the original statement was?

Answer 4

yes, if you have something of the form "If true, then false" then the whole thing is false

Answer 5

Ok, thanks a bunch!

Answer 6

you're welcome