6. Is the following statement a good definition? Why? A cat is an animal with whiskers. It is. The statement is precise and reversible. It is not. The statement is not precise. It is, because all cats have whiskers. It is not. The statement is not reversible.
The statement "A cat is an animal with whiskers" is not a good definition. While it is true that cats have whiskers, not all animals with whiskers are cats. This makes the statement imprecise. Additionally, the statement is not reversible, as there are other animal species that have whiskers. A good definition should be both precise and reversible.
The statement "A cat is an animal with whiskers" can be considered a good definition for a cat because it is both precise and reversible.
To determine the precision of the definition, we can ask ourselves whether all cats have whiskers. In this case, all cats indeed have whiskers, so the definition is accurate and precise.
Additionally, the definition is reversible, meaning that if we find an animal with whiskers, we can conclude that it is a cat. This reversibility confirms that the statement defines a cat precisely.
Therefore, based on the fact that all cats have whiskers and that the statement is reversible, we can conclude that the statement is indeed a good definition of a cat.