Fallacies of Weak Induction

1. Argument from Ignorance (Argumentum ad Ignorantiam)

Definition: This fallacy occurs when it's argued that something must be true because it hasn't been proven false, or vice versa.

Example:
"No one has ever proven that aliens don’t exist, so they must be real."


2. Appeal to Inappropriate Authority (Argumentum ad Verecundiam)

Definition: This fallacy happens when an argument relies on an authority who is not an expert in the relevant field.

Example:
"My favorite actor says this new diet is the best, so it must be healthy."
(Just because an actor is famous doesn’t mean they are a nutrition expert.)


3. Post Hoc (Post Hoc Ergo Propter Hoc – ‘After this, therefore because of this’)

Definition: This fallacy assumes that just because one event happened before another, the first event must have caused the second.

Example:
"I wore my lucky socks, and we won the game. My socks must have helped us win!"


4. Slippery Slope

Definition: This fallacy assumes that taking one step will inevitably lead to a chain of extreme and undesirable consequences, without sufficient evidence.

Example:
"If we allow students to retake tests, soon they’ll expect unlimited retries, and then no one will study anymore!"


5. Hasty Generalization

Definition: This fallacy occurs when a conclusion is drawn from too small or unrepresentative of a sample.

Example:
"I met two rude soccer players, so all soccer players must be rude."