6. Questions 5 & 6

5. What is the function of a counterexample?

6. Give a counterexample to the following claim ‘All dogs have four legs’.


***GPT says***
5.The function of a counterexample is to disprove a statement or hypothesis that claims to be universally true. By providing a single example that contradicts the claim, a counterexample can demonstrate that the claim is false or that it cannot be generalized to all cases.

6. A counterexample to the claim "All dogs have four legs" is a three-legged dog. Since this dog has less than four legs, it contradicts the claim that all dogs have four legs, thereby serving as a counterexample to the statement.