Logic & Proof
Math · Foundational · Lesson 5 of 8

Arguments & Fallacies

Valid reasoning and common traps

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • Valid: modus ponens (P, so Q) and modus tollens (not Q, so not P).
  • Invalid: affirming the consequent and denying the antecedent.
  • Watch for correlation ≠ causation and false dilemmas.

Steps

  1. Valid arguments
  2. Affirming the consequent
  3. Which are valid?
  4. Correlation
  5. Find a counterexample
  6. Name the fallacy