Easy
syllogismslogical-fallaciesconverse-error

If All Cats Are Animals, Is Every Animal a Cat?

Problem Statement

If all cats are animals, does that mean every animal is a cat?

Answer

No

Step-by-Step Explanation

  1. 1

    The original statement 'All cats are animals' is true.

  2. 2

    This means: If something is a cat, then it is an animal.

  3. 3

    The converse would be: If something is an animal, then it is a cat.

  4. 4

    This is clearly false — dogs, birds, and fish are all animals but not cats.

  5. 5

    This is called the 'converse error' or 'affirming the consequent.'

  6. 6

    Just because all members of group A are in group B doesn't mean all members of group B are in group A.