Question

Can inductive logic be used to prove a mathematical​ theorem? Explain. A. Yes, since sufficiently many test cases can constitute a proof. B. No, since test cases never constitute a proof. C. ​Yes, since all mathematical proofs are inductive arguments. D. No, since test cases are never enough to satisfy yourself of a​ rule's truth.

Answer 1

The correct option is D. No, since test cases are never enough to satisfy yourself of a​ rule's truth.

Because with inductive arguments, we do not expect the conclusion to follow with certainty that is 100% true. Also with an

inductive argument, the conclusion only follows with some probability. This makes it a “risky” inference. So that the conclusion

that we infer from them could still be false. Therefore there is always a bit of a gamble involved in accepting the conclusion of an

inductive argument.