AP® English Language and Composition · Logical Fallacies in Reasoning

What Makes a Piece of Reasoning Fallacious

A fallacy is a broken link between premises and conclusion, even when both the premises and the conclusion might be true on their own. The reasoning connecting them is what fails.

An argument has two separate jobs: its premises have to be true, and the path from premises to conclusion has to actually carry that truth across. A fallacy is a failure of the second job. The premises can be perfectly accurate, the conclusion can even turn out to be correct, and the argument can still be fallacious, because the reasoning connecting them does no real work. That's why bad arguments feel convincing in the moment: your attention is on whether the pieces are true, not on whether they're wired together. An hour later, you notice the wiring.

Fallacies split into two families. Formal fallacies break on structure alone: the shape of the argument would turn true premises into a false conclusion regardless of subject matter, the way affirming the consequent does. You can spot these by testing the pattern with any content and watching it fail. Informal fallacies keep a valid-looking shape but go wrong on content: a premise that is true gets smuggled in as if it were relevant to the conclusion when it isn't. A person's wealth, job history, or unpopularity can be completely true and completely beside the point of whether their argument holds.

This is also why a fallacious argument doesn't prove its conclusion false. Calling out bad reasoning only shows that this route to the conclusion fails; the conclusion might still be true for other reasons. And the same sentence can switch sides: pointing out a conflict of interest is a fallacy if it's used to declare a conclusion false, but sound if it's used only to lower how much weight the conclusion deserves. Context decides which job the sentence is doing.

Key terms

premise
A statement offered as support for a conclusion.
formal fallacy
An error in an argument's structure that would turn true premises into a false conclusion regardless of topic.
informal fallacy
An error where a true, structurally fine-looking statement is irrelevant to the conclusion it's used to support.
relevance
Whether a premise actually bears on the truth of the conclusion, as opposed to merely sounding related.

Watch it explained

  1. How it worksHow does a fallacy snap the link between premises and conclusion while leaving both looking fine?
  2. How it worksWalk me through separating formal fallacies of structure from informal fallacies of relevance.
  3. Worked exampleFind the missing step in 'The mayor is wealthy, so the housing plan is going to fail.'
  4. Common mistakeWhy isn't a conclusion false just because the argument offered for it was fallacious?
  5. Going furtherWhat happens when the very same sentence is a fallacy in one context and sound reasoning in another?

Check yourself

Your turneasy1 of 3
A council member argues: 'Our recycling program diverted 748 tons of waste last year. Its director is paid 124 thousand dollars, more than most residents earn. So the program is not working.' What has gone wrong?

End of topic.