Logical Fallacies

LogFall

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

Fallacy profile

Affirming a disjunct

Occurs when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true.

Formal

Definition

Occurs when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true.

Illustrative example

This video is either edited or misleading. It is edited, so it cannot also be misleading.

Teaching gauges

These 0-100 gauges are teaching aids for comparing fallacies. They are editorial classroom estimates, not measured statistics.

Uncommon

25

Common in today's rhetoric

Relatively uncommon in ordinary rhetoric compared with the better-known fallacies.

Hard to spot

20

Easy to spot

Hard to see without slowing down and reconstructing the reasoning.

Common slip

55

Easy to innocently commit

Sometimes accidental and sometimes more strategic.

Advanced

85

Difficulty

Usually easier to teach once readers already have some logic or analytic background.

Advanced undergraduateFormal logic

Reference

Family

Formal/Structural Fallacy

The argument fails because its internal structure does not validly carry the premises to the conclusion.

Quick check

If the premises were true, would the conclusion still fail to follow?

Why it misleads

A fuller explanation of how the fallacy works and why it can look persuasive.

Some disjunctions are genuinely exclusive, but many are not. Two options can coexist unless the statement or context really rules that out.

That's like saying...

Instead of leading with the label, this analogy answers the shape of the reasoning move directly so the mistake is easier to see in plain language.

Fallacious claim

This video is either edited or misleading. It is edited, so it cannot also be misleading.

That's like saying...

That's like saying a room is either crowded or noisy, and because it is crowded it cannot also be noisy. An ordinary 'or' is being treated as if only one option could be true.

Caveat

This label is easy to overuse. The point here is not to call every weak argument by this name, but to reserve it for the exact misstep it describes.

Common misapplication

Do not use this label just because an argument feels abstract, technical, or unpersuasive. The label applies only when the logical form itself is defective.

Use the label only when...

Use this label only when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. If the real problem is that someone reasons from 'if A, then B' and then wrongly infers A merely because B is observed, the better label is Affirming the consequent.

Often confused with

These near neighbors are easy to mix up, so use the comparison to see the exact difference.

Comparison

Affirming the consequent

Why people mix them up: Both often look like formal mistakes at first glance.

Exact difference: Affirming a disjunct happens when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. Affirming the consequent happens when someone reasons from 'if A, then B' and then wrongly infers A merely because B is observed.

Quick split: If the premises were true, would the conclusion still fail to follow? Then compare it with If the premises were true, would the conclusion still fail to follow?

Comparison

Denying the antecedent

Why people mix them up: Both often look like formal mistakes at first glance.

Exact difference: Affirming a disjunct happens when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. Denying the antecedent happens when someone reasons from 'if A, then B' and then wrongly infers 'not B' merely because A is absent.

Quick split: If the premises were true, would the conclusion still fail to follow? Then compare it with If the premises were true, would the conclusion still fail to follow?

Visual argument map

This map highlights the gap between the stated structure and the conclusion the argument tries to force.

Premise pattern

This video is either edited or misleading. It is edited, so it cannot also be misleading.

Invalid step

The structure fails when someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true.

What the premises still allow

Some disjunctions are genuinely exclusive, but many are not. Two options can coexist unless the statement or context really rules that out.

What a valid repair needs

If the premises were true, would the conclusion still fail to follow?

Practice And Repair

Extra teaching tools that show why the fallacy is persuasive, what to look for, and how to correct it.

Why it matters

Why this mistake matters

Affirming a disjunct threatens rationality because someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true.

Main reasoning problem

Someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true.

Why this kind of mistake matters

It gives a conclusion the feel of deductive force even when the structure does not license it.

Check yourself

The assessment area now uses mixed 10-question sets, so the fallacy is not announced in the title before the quiz begins.

What the assessment does

You will work through a mixed set of fallacy-identification questions. Focused links from a fallacy page will quietly include this fallacy among nearby look-alikes without announcing the answer in the page title.

Questions to ask

Use these category-based prompts to audit similar arguments.

Prompt 1

If the premises were true, would the conclusion still fail to follow?

Case studies

Each case study explains why the example fits the fallacy and links back to its source whenever source information is available.

Fact-check: Trump keeps claiming noncitizen voting is a big problem. It's not

AP and NPR both showed how a few real or suspected ineligible votes were repeatedly used to argue that federal elections are broadly compromised. The jump from a narrow premise to a sweeping conclusion is exactly why formal discipline matters in public reasoning. The fallacy here is Affirming a disjunct: someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. That matters here because some disjunctions are genuinely exclusive, but many are not. A better analysis would remember that two options can coexist unless the statement or context really rules that out.

NPR · 2024-10-12

Raw milk from a California dairy is recalled after routine testing detected the bird flu virus

The raw-milk and bird-flu stories from AP and FactCheck make another formal lesson plain: even if some processed products are risky or some official guidance has changed over time, it does not follow that unpasteurized milk is therefore safer. The inference trades on contrast, not valid implication. The fallacy here is Affirming a disjunct: someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. That matters here because some disjunctions are genuinely exclusive, but many are not. A better analysis would remember that two options can coexist unless the statement or context really rules that out.

Associated Press · 2024-11-25

Budget rhetoric often suggests that because one policy tool is on the table, another cannot also matter, as if tradeoffs always come in only one-at-a-time form. The fallacy here is Affirming a disjunct: someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. That matters here because some disjunctions are genuinely exclusive, but many are not. A better analysis would remember that two options can coexist unless the statement or context really rules that out.

Public debate regularly acts as though a claim must be either emotional or strategic, either true or persuasive, either mistaken or manipulative, when in reality both descriptions may apply. The fallacy here is Affirming a disjunct: someone treats an ordinary 'or' as if it were exclusive and concludes that one option must be false because the other is true. That matters here because some disjunctions are genuinely exclusive, but many are not. A better analysis would remember that two options can coexist unless the statement or context really rules that out.

Related fallacies

Nearby entries chosen by shared categories and family resemblance.