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module 1 basic logic - arguments

Aug 20, 2025

Overview

This lecture explains how to classify arguments as deductive or inductive and how to evaluate their validity, strength, soundness, and cogency.

Deductive vs. Inductive Arguments

  • Deductive arguments aim for their conclusions to be guaranteed if their premises are true.
  • Inductive arguments aim to make their conclusions probable, not certain, based on their premises.

Evaluating Deductive Arguments

  • If assuming the premises are true makes the conclusion necessarily true, the argument is valid.
  • If assuming the premises are true does not guarantee the conclusion, the argument is invalid.
  • Valid arguments can have false premises.
  • A sound argument is both valid and has all true premises.
  • An unsound argument is valid but has at least one false premise.

Evaluating Inductive Arguments

  • If true premises make the conclusion probably true, the argument is strong.
  • If true premises do not make the conclusion probable, the argument is weak.
  • Strong arguments can have false premises.
  • A cogent argument is strong and has all true premises.
  • An uncogent (not cogent) argument is strong or weak but has at least one false premise.

Determining Argument Quality

  • First, identify if the argument is deductive (guarantee) or inductive (probable).
  • Next, evaluate the reasoning (valid/invalid for deductive; strong/weak for inductive).
  • Finally, check if the premises are actually true (for soundness/cogency).

Key Terms & Definitions

  • Deductive Argument β€” Argument aiming for a guaranteed true conclusion if premises are true.
  • Inductive Argument β€” Argument aiming for a probably true conclusion if premises are true.
  • Valid β€” Deductive reasoning where true premises guarantee the conclusion.
  • Invalid β€” Deductive reasoning where true premises do not guarantee the conclusion.
  • Sound β€” A valid deductive argument with all true premises.
  • Unsound β€” A valid deductive argument with at least one false premise.
  • Strong β€” Inductive reasoning where true premises make the conclusion probable.
  • Weak β€” Inductive reasoning where true premises do not make the conclusion probable.
  • Cogent β€” A strong inductive argument with all true premises.
  • Uncogent β€” An inductive argument that is strong or weak but has at least one false premise.

Action Items / Next Steps

  • Review the master logic flow chart for classifying arguments.
  • Practice classifying sample arguments as deductive/inductive, valid/invalid, sound/unsound, strong/weak, cogent/uncogent.