
Equivocation
“Nothing is better than a good night’s sleep. A slice of pizza is better than nothing. Therefore, pizza is better than sleep.”
This joke works because “nothing” is used in two different ways. When someone uses a word with more than one meaning inconsistently to make a point or win an argument, this is a logical fallacy called equivocation.
For example: “Plate tectonics is just a theory. I have my own theories.” In science, a theory is a well-supported explanation that organizes evidence and makes predictions. In everyday talk, “theory” means “hunch”. Plate tectonics is a theory in the scientific sense; by implying it’s equivalent to their own “theories” (i.e., hunches), the speaker mixes up the meanings.
As a real-world example, Colgate once advertised “80% of dentists recommend Colgate.” They knew that most people would hear “recommend” as “prefer above all.” The survey, however, asked whether dentists would recommend Colgate among several acceptable brands. “Recommend” meant “select as an option,” not “select as the best option.” When we realize this, the fact that only 80% of dentists recommended Colgate is surprisingly low.
Equivocation can happen with whole claims too. This is called the motte-and-bailey fallacy. You commit the motte-and-bailey fallacy when you make a bold, hard-to-defend claim, then—when challenged—retreat to a weaker, easier claim, defend that one, and act as if you’ve defended the original. For example:
A: “Homeopathy cures many illnesses.”
B: “There’s no evidence beyond placebo.”
A: “But placebo makes people feel better.”
The second claim that A made is easy to defend, unlike the first one. If A defends the second claim and then acts as if they have defended the first one, they have committed the motte-and-bailey fallacy.
Courses
Fallacy Detectors
Develop the skills to tackle logical fallacies through a series of 10 science-fiction videos with activities. Recommended for ages 8 and up.
Social Media Simulator
Teach your kids to spot misinformation and manipulation in a safe and controlled environment before they face the real thing. Recommended for ages 9 and up.
A Statistical Odyssey
Learn about common mistakes in data analysis with an interactive space adventure. Recommended for ages 12 and up.
Logic for Teens
Learn how to make sense of complicated arguments with 14 video lessons and activities. Recommended for ages 13 and up.
Emotional Intelligence
Learn to recognize, understand, and manage your emotions. Designed by child psychologist Ronald Crouch, Ph.D. Recommended for ages 5 to 8.
Worksheets
Logical Fallacies Worksheets and Lesson Plans
Teach your grades 3-7 students about ten common logical fallacies with these engaging and easy-to-use lesson plans and worksheets.
Symbolic Logic Worksheets
Worksheets covering the basics of symbolic logic for children ages 13 and up.
Elementary School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 2-5 about superstitions, different perspectives, facts and opinions, the false dilemma fallacy, and probability.
Middle School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 5-8 about false memories, confirmation bias, Occam’s razor, the strawman fallacy, and pareidolia.
High School Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 8-12 about critical thinking, the appeal to nature fallacy, correlation versus causation, the placebo effect, and weasel words.
Statistical Shenanigans Worksheets and Lesson Plans
These lesson plans and worksheets teach students in grades 9 and up the statistical principles they need to analyze data rationally.
Logical Fallacy Handbook
A printable handbook explaining 20 common logical fallacies with real-world examples. Recommended for teens and adults.