The fallacy of weak induction, also known as the fallacy of hasty generalization, occurs when a conclusion is drawn from insufficient or biased evidence. It involves making a generalization about a whole group or population based on a small or unrepresentative sample.
For example, if someone claims that all dogs are aggressive based on their encounter with a single aggressive dog, they are committing the fallacy of weak induction. The conclusion is not supported by enough evidence to make a reliable generalization about all dogs.
Another example could be someone claiming that all politicians are corrupt based on a few instances of corruption that they have heard about. This generalization is not justified as it does not consider the vast number of politicians who are not corrupt.
In both cases, the fallacy of weak induction occurs when a conclusion is drawn without considering a sufficient and representative sample of evidence. It is important to gather enough relevant evidence before making generalizations or drawing conclusions to avoid this fallacy.