Answer
See the explanation
Work Step by Step
If you were systematically asking members of a group about their birthdays, the occurrence of someone confirming they have a birthday on the particular date would indicate that there is such a person. Conversely, if every member denies having a birthday on that date, it would indicate that there is no such person.
Similarly, if you were testing positive integers for a particular property, encountering an integer that possesses the property would confirm its existence. However, if you exhaustively test all integers without finding any that meet the criteria, it indicates that no integer has the property.
Testing to see if a conjecture is true and testing to see if it is false are not necessarily symmetric tasks. Confirming a conjecture as true requires finding at least one instance where it holds, while disproving it as false involves demonstrating that it fails to hold in all cases. The burden of proof differs between confirming and disproving a conjecture.
