Logical Fallacies

LogFall

A practical logical-fallacies reference with clear explanations, usable examples, and teaching tools.

Family

Statistical/Sampling Fallacy

The reasoning misuses rates, probabilities, samples, distributions, or other quantitative expectations.

Entries

12 fallacies in this family.

Quick family question

What sample, base rate, probability, or distribution is being mishandled here?

Family vs. category

A family is the broad umbrella that gives a fallacy its main home. Categories are the narrower diagnostic tags, so the same fallacy can appear in multiple categories while still belonging to one family.

Anecdotal fallacy

Occurs when a vivid personal story, testimonial, or isolated case is treated as stronger evidence than broader, better, or more representative evidence.

EvidentialPerceptual
Foundational Middle school+

Appeal to probability

Occurs when someone assumes that because something could happen, it is therefore likely or inevitable that it will happen.

Mathematical
Intermediate High school

Base rate fallacy

Occurs when someone judges how likely a case is by focusing on vivid case-specific evidence while ignoring the underlying frequency of the thing in question.

Mathematical
Foundational Middle school+

Conjunction fallacy

Occurs when a more detailed scenario is treated as more probable than a less detailed scenario that already contains it.

ConceptualMathematical
Advanced Advanced undergraduate

Ecological fallacy

Occurs when statistics about a group are used to draw conclusions about particular individuals in that group.

MathematicalConceptual
Advanced Advanced undergraduate

Gambler's fallacy

Occurs when someone thinks past outcomes of independent events make a future independent outcome more or less likely than it really is.

MathematicalCausal
Advanced Advanced undergraduate

Hasty generalization

Occurs when someone draws a broad conclusion from too little evidence, too small a sample, or a badly skewed sample.

EvidentialMathematical
Foundational Middle school+

Prosecutor's fallacy

Occurs when a low probability of a false match is confused with a low probability that a matched person is innocent.

Mathematical
Intermediate High school

Regression fallacy

Occurs when movement back toward a normal range after an extreme result is credited to some intervention that may have had little or nothing to do with it.

CausalMathematical
Advanced Advanced undergraduate

Sharpshooter fallacy

Occurs when someone highlights the data cluster that supports a favored story only after looking at the results, then treats that hand-picked pattern as if it had been th...

EvidentialConceptual
Intermediate High school

Spotlight fallacy

Occurs when the most visible or most covered cases in a category are treated as if they represent the category as a whole.

Perspectival
Intermediate High school

Survivorship bias

Occurs when conclusions are drawn from the visible successes that made it through a filter while the failures, dropouts, or non-survivors are ignored.

MathematicalEvidential
Intermediate High school