Logical Fallacies & Cognitive Biases – Quick Review

Critical Thinking Foundations

  • Aim: hold beliefs only when supported by good reasons (increase likelihood of truth).
  • Arguments justify beliefs:
    • Deductive: if valid + true premises → sound → conclusion must be true.
    • Inductive: if strong + true premises → cogent → conclusion likely true.
  • First check argument form before believing the claim.

Core Logical Fallacies ("Traps")

  • Affirming the Consequent: If AC; CAIf\ A\rightarrow C;\ C\Rightarrow A (invalid).
  • Denying the Antecedent: If AC; ¬A¬CIf\ A\rightarrow C;\ \lnot A\Rightarrow \lnot C (invalid).
  • Appeal to Irrelevant Authority: claiming truth because a (non-expert/unrelated) figure supports it.
  • Genetic Fallacy: judging a claim by its origin, not its content.
  • Ad Hominem: attacking the person instead of the argument.
  • Appeal to Ignorance: “no proof against X, therefore X” (or vice-versa).
  • False Dichotomy: presenting only two options when more exist.
  • Post Hoc / Not a Cause for a Cause: mistaking correlation or sequence for causation.
  • Hasty Generalisation: broad claim from an unrepresentative sample.
  • Slippery Slope: asserting that one step inevitably triggers extreme consequences.
  • Straw Man: misrepresenting an opponent’s view to refute it easily.

Dual-Process Brain

  • System 1: fast, automatic, effortless, heuristic-driven; good for routine tasks, prone to bias.
  • System 2: slow, effortful, analytical; overrides errors but is lazy & resource-heavy.
  • Many reasoning errors occur when System 2 fails to check System 1.

Key Heuristics & Cognitive Biases

  • Availability: judging likelihood by how easily examples come to mind (e.g., dramatic events).
  • Framing Effect: risk-seeking under loss frames, risk-averse under gain frames; same facts, different wording.
  • Halo Effect: a single positive trait colours unrelated judgments about a person.
  • Anchoring: first number/idea encountered sets a reference point for later estimates.
  • Small-Sample Bias: extreme outcomes & spurious patterns common in small datasets; ignore base rates.
  • WYSIATI (What You See Is All There Is): mind builds stories from available info, neglecting missing data & reliability.

Minimising Errors

  • Slow down: engage System 2 for important decisions.
  • Actively seek disconfirming evidence; question initial impressions.
  • Check argument form & premise truth before accepting conclusions.
  • Remember: everyone (including you) is susceptible to these fallacies & biases.