If every observed swan so far is white, can we conclude all swans are white?

Study for the Logical Reasoning STEM Test. Practice with flashcards and multiple-choice questions, each with hints and explanations. Prepare for success!

Multiple Choice

If every observed swan so far is white, can we conclude all swans are white?

Generalizing from a finite set of observations to every member of a group isn’t guaranteed. When you’ve only seen white swans, you haven’t proven there aren’t any non-white swans somewhere you haven’t looked. The possibility of a counterexample means the universal claim could be false, even if all observed instances so far are white. That’s why you can’t conclude all swans are white from the observed sample alone. It’s not necessarily true; you’d need complete knowledge or a proof covering all possible swans to assert that with certainty.

Generalizing from a finite set of observations to every member of a group isn’t guaranteed. When you’ve only seen white swans, you haven’t proven there aren’t any non-white swans somewhere you haven’t looked. The possibility of a counterexample means the universal claim could be false, even if all observed instances so far are white. That’s why you can’t conclude all swans are white from the observed sample alone. It’s not necessarily true; you’d need complete knowledge or a proof covering all possible swans to assert that with certainty.

More practice questions