Fallacies
Seven units on common fallacies: straw man, ad hominem, hasty generalization, slippery slope, false dilemma, circular reasoning and the appeal to authority. Each unit explains how the move works, when a similar argument is fair, and how to reply, with a diagram, flashcards and 10 to 12 practice questions. All ads and conversations are made up for teaching.
About this course
Seven units cover seven fallacies: straw man, ad hominem, hasty generalization, slippery slope, false dilemma, circular reasoning and the appeal to authority. Each unit explains how the move works, when a similar argument is fair, and how to reply. That middle part matters. Not every remark about a person is a fallacy: when a claim rests on someone's word alone, such as a witness who says they saw an accident, evidence that the witness has lied before or could not see the road is relevant.
The units use short made-up examples, and the course states that all ads, headlines and conversations are invented for teaching and quote no real company, newspaper, politician or person. For the straw man, the fix is to restate the other person's view in a form they would accept before you reply. When A says homework should be shorter on weekends and B answers that abolishing all homework would make students forget everything, B has refuted something A never said. For hasty generalization, two cousins who studied abroad and got good jobs do not show that studying abroad guarantees one. The slippery slope follows the Stanford Encyclopedia of Philosophy's description of an argument that goes from a starting point through small steps to an undesirable conclusion and then rejects the starting point. For the false dilemma, the simplest reply is a question: are those really the only two choices?
Circular reasoning gets a diagram in which the premise is offered for the conclusion but is believed only because of it, so nothing outside the loop holds it up. The appeal to authority separates reasonable reliance, such as a relevant expert body giving a forecast in its own field, from authority used outside its field, like celebrity endorsements.
Before you start
No logic background is required, though Statements and truth gives useful words such as valid and premise, which come back in the unit on circular reasoning. The ads and conversations are invented for teaching, so the focus stays on how each argument is built.
When you finish
Afterwards you can recognise a straw man, an ad hominem, a hasty generalization, a slippery slope, a false dilemma, circular reasoning and a misused appeal to authority, and reply to each without just naming it. You will also know when a similar argument is fair, and why four steps that are each 80% likely add up to only about 41%.
- 1Straw manSomeone says “We should have fewer cars in the city centre” and hears back “So you want to ban cars.” The second sentence answers a claim nobody made.
- 2Ad hominem“Why listen to his plan for the budget? He failed maths at school.” The plan’s numbers are still there to be checked, whoever wrote them.
- 3Hasty generalizationTwo rude waiters on one visit to a city of a million people tell you about two waiters, not about the city.
- 4Slippery slopeIf each step in a chain is 80% likely, a chain of four steps is only about 41% likely, yet slippery-slope arguments present the end as certain.
- 5False dilemma“Either we build the new road or the town dies” offers two futures. A bus line, a smaller road and doing nothing much at all are three more.
- 6Circular reasoning“This review site is trustworthy, because the site says its reviews are trustworthy.” The reason offered is the conclusion again.
- 7Appeal to authorityA famous footballer who recommends a pension fund is an authority on football. On pensions, he is one more person with an opinion.
Sources for this course (14)
- Stanford Encyclopedia of Philosophy, Hans Hansen, "Fallacies" (plato.stanford.edu/entries/fallacies/): straw man as a variation of ignoratio elenchi
- abusive, circumstantial and tu quoque ad hominem
- slippery slope form and the heap and beard puzzles
- ad verecundiam and celebrity endorsements
- begging the question (petitio principii) with Whately's free-speech example
- Aristotle's thirteen sophistical refutations
- Port-Royal Logic (Arnauld and Nicole, 1662) with imperfect enumeration and faulty induction
- Locke, Essay Concerning Human Understanding (1690) on ad verecundiam, ad ignorantiam, ad hominem
- Bentham (1824) on fallacies of authority
- Mill's almanac example
- Copi, Introduction to Logic (1961)
- eighteen informal fallacies
- Hamblin (1970)
- forall x: Calgary (, forallx.openlogicproject.org) for validity and counterexamples. Every advertisement, headline and dialogue in this course is made up for teaching.
Checked: 2026-10-17