Lesson 01 of 4
Logical Fallacies: Formal & Relevance
A logical fallacy is an argument that looks like support but does not hold up. Formal fallacies have a broken shape; informal ones have a valid shape but a bad reason. Relevance fallacies such as ad hominem, appeals to authority or tradition, bandwagon, and straw man drag in premises that never touch the point.
Arguments that sound right but aren't
A politician says, "My opponent voted against the defense budget, so he clearly doesn't care whether our country is safe." It sounds like a point. It is not. Voting against one budget could mean a dozen things.
A logical fallacy is an argument that looks like it supports its conclusion but actually doesn't. There are two broad kinds. A formal fallacy has a broken shape, so the conclusion doesn't follow no matter what you plug in. An informal fallacy has a fine shape but a rotten reason, because the premise is irrelevant, loaded, or unclear.
Formal ones are almost mechanical once you see the shape. "If it rains, the ground is wet. The ground is wet. So it rained." Feels valid, but a sprinkler could've done it. Most fallacies you meet in daily life, though, are informal, and this lesson starts with the most common family.
The relevance fallacies
Fallacies of relevance throw in a premise that simply doesn't bear on the point. The reason might even be true. It just doesn't touch the conclusion. Watch for these five:
- Ad hominem: attacking the person instead of their argument. "You can't trust her climate data, she's an activist." Her motives don't change what the data says.
- Appeal to authority: "Einstein believed it, so it's true." Genius in physics isn't expertise in everything.
- Appeal to tradition: "We've always done it this way." Doing something for years doesn't make it right.
- Bandwagon: "Everyone's buying it, so it must be best." Popular and correct are different things.
- Straw man: swapping someone's real point for a dumber version. "You want lighter regulations? So you want zero rules at all!"
One caution: pointing out a real conflict of interest ("this study was funded by the sugar industry") isn't ad hominem, because that bias could genuinely shape the work.
Check Your Understanding 1
A commentator says, 'Of course she supports the new climate policy, she's an environmental activist.' Why is this an ad hominem fallacy?
Why a bad argument still works
Fallacies survive because they're persuasive, not because they're logical. They lean on how your mind already works. An ad hominem lands because you naturally trust a likeable messenger and doubt an unpleasant one. An appeal to authority lands because deferring to experts is usually smart. That is exactly what makes the lazy version hard to catch.
Seeing the mechanism is your defense. When someone goes after your character instead of your point, name it silently: that's a distraction, not a rebuttal. When you feel the pull of "everyone agrees," stop and ask whether you've actually checked the merits yourself.
Rule of thumb: A conclusion is never stronger than the reasoning holding it up. If you can't trace a clear line from reason to conclusion, the argument fails, however good it feels.
Catching them in your own arguments
The real skill isn't spotting fallacies in your opponents. That's easy, and a little smug. It's catching them in yourself, which is hard, because you want your own conclusions to be right.
A simple move helps: when you're about to make a case, write it out plainly: reasons, then conclusion. Then interrogate it. Do these reasons actually bear on the point? Am I leaning on someone's authority without checking it? Am I dismissing the other side's character instead of their argument? Every time you catch yourself mid-fallacy and switch to a real reason, your thinking gets a notch sharper.
Check Your Understanding 2
Which of these statements commits a fallacy of relevance?
In summary
Key Takeaways
- A fallacy is an argument that looks like support but doesn't actually hold up
- Formal fallacies have a broken shape; informal ones have a fine shape but a bad reason
- Relevance fallacies (ad hominem, appeals to authority or tradition, bandwagon, straw man) drag in premises that don't touch the point
- Bad arguments persuade by working on your instincts, not your logic. Naming the move breaks the spell
- The hardest and most valuable skill is catching these fallacies in your own reasoning
Want to go deeper? The resource library collects the books, courses and podcasts behind these lessons.
Frequently asked
- What is the difference between a formal and an informal fallacy?
- A formal fallacy has a broken structure: the conclusion does not follow from the premises no matter what they say. An informal fallacy has a valid structure but a defective premise or an irrelevant one. Formal fallacies are detectable from form alone; informal ones require reading the content.
- Does spotting a fallacy mean the conclusion is false?
- No, and this mistake has its own name, the fallacy fallacy. Identifying a fallacy shows the argument fails to support its conclusion, which leaves the question open rather than settled the other way. A bad argument can be offered for a true claim.
- Why do bad arguments still persuade people?
- Because relevance fallacies exploit real social signals, such as trust in authority, deference to consensus, and suspicion of hypocrites, that are usually useful shortcuts. The argument feels compelling precisely because the instinct it triggers is normally reliable. Naming the fallacy is what separates the instinct from the evidence.