Logic and Scientific Thinking

Informal Fallacies 2

Bogdan G. Popescu

Tecnologico de Monterrey

Act III: Distortion and Emotional Appeals

Recap

Question Answer from Session 7
The three-step diagnosis? Name the move · quote the words · say what would decide it
Faulty reasoning? False cause · circular reasoning
Misused sources? Ad hominem · appeal to authority

Two families down — two to go: distorted claims and emotional appeals.

Today’s Route

Today: distorted claims and emotional appeals — plus one neighbor (the verbal dispute) and the volume tactic.

Faulty reasoningMisused sourcesDistorted claimsEmotional appeals
1false cause
2circular reasoning
3ad hominem
4appeal to authority
5straw man
6red herring
7slippery slope
8equivocation
9false dilemma
10appeal to fear
11appeal to pity
12bandwagon
Gish Gallopthe volume tactic — carries any move above; felt previouslymeta

Straw Man

S1: I’d rather not get a dog.”
S2: So you hate animals?”

  • S2 rebuilt S1’s claim
  • S2 likely wants to attack S1
  • Test: would the opponent accept your summary of their view?

The Ice Cream Swap (2005)

The Kid’s claim, before you watch — the only thing he asserts: chocolate is the best.

Listen for the one sentence where that claim gets swapped.

Nobody Said Chocolate

The move The line
1. The claim Kid: “Chocolate is the best.”
= Among other flavors, I prefer chocolate.
2. The rebuild Dad: “So it’s ALL chocolate for you?”
= Among other foods, you would always choose chocolate
3. The attack Dad: a speech on freedom, choice, liberty.
= You are against choice and thus, liberty
4. The original claim I prefer chocolate
  • One word swapped:
    • “best” became “all”; that’s the whole trick.

Nobody Said Chocolate

The move The line
1. The claim Kid: “Chocolate is the best.”
2. The rebuild Dad: “So it’s ALL chocolate for you?”
3. The attack Dad: a speech on freedom, choice, liberty.
4. The original claim Never addressed — still unanswered.

Test: would the Kid accept the following representation of the his argument?

  • “you’re against choice”?
  • No → straw man.

Red Herring

Q: Does the curfew actually reduce crime?”
A: What about the money this city wastes on festivals?”

  • The reply changes the subject — the question is never answered.
  • The new topic is easier to argue, so the switch feels natural.
  • Straw man rebuilds the claim; red herring abandons it.
  • Test: is the reply still about the original question?

Slippery Slope

“Fail this one exam, then never graduate, and never get a job.”

  • One step is claimed to make the catastrophe inevitable
  • The earlier chain caution: every link is another premise
    • ten steps, ten chances to be wrong.
  • Demand the middle: how exactly does A lead to Z?

“Don’t Wake Up in a Roadside Ditch” (2012)

An entire slippery slope in 30 seconds: - Count the arrows - Which one is ever argued?

Seven Arrows, Zero Arguments

ON HOLD → angry → blow off steam → accident → eye patch → “tough” → challenged → DITCH

  • Each single step is slightly plausible
    • the chain is absurd.
  • The ad is honest comedy:
    • at seven arrows, everyone sees it
  • Test: “How exactly does an eye patch lead to a ditch?”

Equivocation

P1. Mice are mammals.
P2. The thing next to my laptop is a mouse.
C. The thing next to my laptop is a mammal.
  • In P1, mouse = the animal.
  • In P2, mouse = the gadget.
  • The word changed meaning between premises

Equivocation

The serious version — the same switch, with real stakes:

P1. In science, evolution is a theory.
P2. A theory is just a guess.
C. So evolution is just a guess.
  • In P1, theory = a tested explanatory framework.
  • In P2, theory = a hunch.
  • The word changed meaning between premises.

The test: same word? — make sure it’s the same meaning, start to finish.

Equivocation vs. Verbal Dispute

Same starting point — one word, two meanings. Different situations:

Equivocation Verbal dispute
The two meanings both inside one argument one per side
The word is used… inconsistently — it switches between premises consistently — each side keeps its own meaning
What’s broken the argument — the conclusion needed one meaning throughout only the appearance of disagreement
The cure same meaning, start to finish ask: “what do you mean by ___?”

Talking Past Each Other

S1: She’s successful — she earns a fortune.”
S2: She’s not successful — she’s miserable.”

  • S1 means: successful = rich.
  • S2 means: successful = happy.
  • Swap the definitions in:
    • S1: “She’s rich.”
    • S2: “She’s unhappy.”
  • Likely both S1 and S2 agree

Talking Past Each Other

S1: She’s successful — she earns a fortune.”
S2: She’s not successful — she’s miserable.”

The fix: ask “what do you mean by success?”

“Is a Hot Dog a Sandwich?” — The Late Show (2017)

Two definitions, one word: - “meat between bread” vs. - “you’d cut it in half.”

One Word, Two Definitions

Colbert Hodgman
The claim “A hot dog IS a sandwich.” “A hot dog is NOT a sandwich.”
His definition sandwich = meat between bread sandwich = a thing you’d cut in half
By his own definition… right right
  • Ask yourself: what fact about hot dogs do they disagree on?
    • None
  • Each is right by his own definition
    • there is no factual disagreement.

The Hidden Question

S1: Using AI to write your essay is cheating — you didn’t do the work.”
S2: It’s not cheating — it’s a tool, like a calculator or a spell-checker.”

  • S1 means:
    • “your own work” = you wrote every word.
  • S2 means:
    • “your own work” = you made it — tools allowed.

The Hidden Question

S1: Using AI to write your essay is cheating — you didn’t do the work.”
S2: It’s not cheating — it’s a tool, like a calculator or a spell-checker.”

  • Swap the definitions in:
    • by S1’s definition, it is cheating.
    • by S2’s definition, it isn’t.
  • Both are consistent — so part of this fight is just the word.
    • but only part.

The Hidden Question

S1: Using AI to write your essay is cheating — you didn’t do the work.”
S2: It’s not cheating — it’s a tool, like a calculator or a spell-checker.”

  • The real question:
    • where is the line?
    • calculator → spell-checker → Google → AI outline → full AI draft
  • Most people accept the calculator; most courses reject the unedited AI draft.
  • The real disagreement is somewhere in between — and arguing about where is a real debate, where agreement becomes possible.

The Hidden Question

S1: Using AI to write your essay is cheating — you didn’t do the work.”
S2: It’s not cheating — it’s a tool, like a calculator or a spell-checker.”

With charged words — cheating · tool · your own work:

  • Pick the definition, and the verdict follows: — “punish it” / “allow it.”
  • Different definitions become different normative claims.

The full lesson: defining the term removes the fake disagreement — and exposes the real one: what is school for?

False Dilemma

S1: Either we close the border — or we lose the country.”

  • One skeleton: [my policy] — or [catastrophe].
  • The catastrophe is asserted, never argued.
  • Only two options offered when more exist.

False Dilemma

S1: Either we close the border — or we lose the country.”

  • The fix: ask “is that everything?”
    • the hidden middle: visas, quotas, asylum rules, work permits…
  • Name a third option, and the “or” collapses.

Emotional Appeals

“We shouldn’t be so restrictive about migration — think of all those mothers separated from their children.”

  • Appeal to pity — the quote above: a heartbreaking case offered as sufficient to decide the whole policy question.
  • Appeal to fear — the reply from the other side: “Open the borders, and crime floods your streets.”
  • Bandwagon — “Most countries adopted lockdown measures — so, we should do the same.”

Emotional Appeals

“We shouldn’t be so restrictive about migration — think of all those mothers separated from their children.”

The tell:

  • in each, one feeling is the whole case
  • fear and pity pull in opposite directions
  • a feeling alone can’t decide either way.

Diagnosing Emotional Appeals

Demo case:

“Open the borders, and crime floods your streets.”

  1. Name the move → appeal to fear (scare tactics).
  2. Quote the exact words → “crime floods your streets.”
  3. Say what would decide it → what do crime data on migrants actually show?

The Gish Gallop

Not one broken argument — too many to check.

  • Bury the point under a flood of weak claims, faster than anyone can answer.
  • Every claim left unanswered reads as a point scored.
  • A tactic, not a fallacy — it can carry any move on the map, or none.

The full anatomy — the criteria for calling one, and the defense — comes in the first session after the midterm.

Drill: Name That Fallacy

  1. “I ate cereal before the exam and got an A. Cereal before exams gives you A’s.”
  2. “Don’t trust Luis’s math solution — he failed English.”
  3. “I think we should eat less meat.” — “So you want everyone to be vegan? Ridiculous.”
  4. “Stars produce their own light. Shakira is a star. So Shakira glows in the dark.”
  5. “Either you support the curfew, or you don’t care about safety.”
  6. “Professor, I studied all night — you can’t fail me.”
  7. “He’s the best player ever — most goals in history.” — “No: he never won a title.”
  8. “The bridge inspector found deep cracks. She warns: don’t drive across.”

The Answer Bank

Your options:

Faulty reasoning false cause · circular reasoning
Misused sources ad hominem · appeal to authority
Distorted claims straw man · red herring · slippery slope · equivocation · false dilemma
Emotional appeals appeal to fear · appeal to pity · bandwagon

Careful: one item isn’t on this menu — and one isn’t a fallacy at all.

The Same-Claim Test

A genuine refutation must contradict the same claim (Aristotle, Sophistical Refutations):

Same… Ask
Meaning are the key words used in the same sense?
Subject the same person, group, population?
Outcome the same result being measured?
Comparison against the same baseline?
Time during the same period?

Claim: “The policy reduced violent crime in 2025.” — Reply: “But burglaries rose in one district in March.” Both can be true; nothing was refuted.

The speaker changes one coordinate — and hopes nobody notices.

The Fallacy Fallacy

“Your argument for the curfew is a slippery slope. So the curfew is useless.” ✗

  • Showing an argument invalid does not show its conclusion false.
  • A true conclusion can come from a bad argument.
  • Labels are diagnostic tools, not refutations.
  • Real arguments may fit several labels — or none cleanly.

The label only starts the work.
What decides it: the evidence

Conclusion

Name the move, quote the words, say what would decide it.

  • Distorted claims — straw man, red herring, slippery slope, equivocation, false dilemma.
  • Talking past each other — one word, two definitions; define the term first.
  • Emotional appeals — fear, pity, bandwagon: a feeling where the evidence should be.
  • The Gish gallop — too many claims to check: a tactic, analyzed after the midterm.
  • The fallacy fallacy — naming the move never proves the conclusion false.

References

  • Aristotle. On Sophistical Refutations. (any scholarly edition)