 Reliable inquiry requires a more subtle investigative strategy. Here is one (of many). Begin inquiry with either competing hypothesis, say “all but finitely many swans are black”. Choose some cut-off ratio to represent a “clear majority”; for definiteness, let’s say 70%. If the current conjecture is that all but finitely many swans are black, change your mind to conjecture that all but finitely many swans are white just in case over 70% of observed swans are in fact white. Proceed likewise if the current conjecture is that all but finitely many swans are white when over 70% of observed swans are in fact black.