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Correlation vs. Causation
Mistakes a correlation for a causal relationship, ignoring other possible causes.
Example: A recent study found that students who drink energy drinks tend to get better grades. Therefore, drinking energy drinks must help improve academic performance.
Flaw: Just because two things happen together (correlation) doesn’t mean one causes the other. Maybe high-achieving students are more likely to drink energy drinks.
Conditional Logic Flaws
Misuses “if–then” logic, e.g., affirming the consequent or denying the antecedent.
Using invalid logic forms (denying, consequent).
Circular Reasoning
When an argument’s conclusion is just the same as one of its premises, the argument goes in a circle without actually proving anything.
Example: We know the defendant is guilty because he committed the crime.
In this example the premise and conclusion are the same. The argument already assume what it is trying to prove.
Equivocation
Uses the same word with different meanings within the argument.
Example: A theory is just a guess. Since evolution is just a theory, it’s nothing more than a guess.
The word "theory" is used ambiguously. In science, a theory is a well-supported explanation, not merely a guess.
Generalization from Small/Biased Sample
Draws a broad conclusion from an unrepresentative or too-small sample.
Example: I asked five of my friends, and none of them like horror movies. So therefore, horror movies are not popular.
Flaw: Draws a broad conclusion from a small and likely biased sample (just five friends).
False Dilemma (False Choice)
Assumes only two options exist when others are possible.
Example: Either we ban all cars from the city center or we continue to suffer from unbearable traffic. Since banning all cars is unrealistic, we’ll have to live with traffic.
Flaw: Assumes only two options exist when there could be other solutions (e.g., congestion pricing, public transport improvements).
Straw Man Argument
Misrepresents or oversimplifies an opponent’s position to refute a weaker version of it.
"We should have some rules to limit junk food in schools."
Person B (Straw Man):
"Oh, so you want to ban all tasty food and force kids to eat only broccoli?"
Appeal to Authority
Uses an authority’s opinion as conclusive evidence, even if the authority lacks expertise.
Example: A famous actor says that this new vitamin boosts brain power. Therefore, it must be effective.
Flaw: Uses the opinion of someone who is not an expert in the relevant field as conclusive evidence.
Possibility / Certainty
Concludes something must be true just because it could be true.
Example: It’s possible that aliens exist. Therefore, aliens definitely exist.
Flaw: Concludes that something is certainly true just because it could be true.
Confusing Necessary and Sufficient Conditions
Treats a necessary condition as sufficient or vice versa.
Example:
In order to drive, you must have a license.
John has a license.
Therefore, John is driving.
Flaw: Having a license is necessary to drive, but it’s not sufficient — someone can have a license and still not be driving.