05Module 5 of 5

Applications

Fallacies, puzzles, and real-world reasoning

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Formal FallaciesInformal FallaciesKnights & KnavesLogic Puzzles

Fallacies & Logic Puzzles

∴Why This Matters
Logic isn't just academic—it's a defense against manipulation and a tool for puzzle-solving. This module applies everything you've learned to real-world fallacies and classic puzzles.

Formal Fallacies

Formal fallacies are structural errors—the argument form itself is invalid, regardless of content.

Affirming the Consequent

P → Q, Q ∴ P

"If it rains, the ground is wet. The ground is wet. Therefore it rained." (Could be sprinklers!)

Denying the Antecedent

P → Q, ¬P ∴ ¬Q

"If you study, you'll pass. You didn't study. Therefore you'll fail." (Could pass anyway!)

Informal Fallacies

Ad Hominem

Attacking the person, not the argument

Straw Man

Misrepresenting an argument to attack it

Appeal to Authority

Expertise doesn't transfer across fields

False Dilemma

Presenting only two options when more exist

Slippery Slope

Assuming extreme consequences without evidence

Appeal to Popularity

Popularity ≠ truth

Knights & Knaves Puzzles

Knights & Knaves
On an island, Knights always tell the truth and Knaves always lie. Given statements, deduce who is what.
?Quick Check

A says: 'I am a knave.' What is A?

✦Tip
For Knights & Knaves: Assume one answer, trace the implications, check for contradictions. If contradiction, try the other assumption.