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🧩 Logic & Reasoning

Think clearly: build strong arguments and spot bad ones.

3
lessons
~30 min
to learn
🔬 Science
subject
Teens
level
Start the course →

What you’ll learn

  1. Identify arguments, distinguish deductive from inductive reasoning, and define validity and soundness.An argument uses premises to support a conclusion. Deduction guarantees conclusions while induction makes them probable, and the terms valid and sound describe an argument's structure and truth.
  2. Analyze syllogisms and conditionals, and recognize common fallacies.Syllogisms and if-then statements follow valid patterns like modus ponens and modus tollens. Fallacies, both formal and informal such as ad hominem and straw man, are flaws that make arguments fail.
  3. Apply critical thinking to evidence and see how logic shapes the world.Critical thinking means checking premises, evidence, and reasoning for flaws. Strong arguments rely on good evidence, and logic underlies computing, math, science, law, and everyday decisions.

Questions this course answers

In logic, the statements offered as reasons for a conclusion are called what?

Premises are the statements offered as support for an argument's conclusion.

Which type of reasoning offers a guaranteed conclusion if the premises are true?

Deductive reasoning guarantees a true conclusion when the premises are true and the form is valid.

An argument that is both valid and has all true premises is called what?

A sound argument is valid and has true premises, so its conclusion is guaranteed true.

'If P then Q; P is true; therefore Q' is which valid pattern?

This is modus ponens, a valid form: affirm the antecedent to conclude the consequent.

Attacking the person instead of their argument is which fallacy?

The ad hominem fallacy attacks the arguer's character rather than addressing the argument.

Misrepresenting an opponent's view to attack it more easily is the what?

The straw man fallacy distorts an opponent's position to make it easier to refute.

Grounded in trusted sources

  • Internet Encyclopedia of Philosophy, 'Fallacies' (https://iep.utm.edu/fallacy/)
  • Purdue OWL, 'Logical Fallacies' (https://owl.purdue.edu)
  • Irving Copi & Carl Cohen, 'Introduction to Logic' (Pearson, 14th ed.)
  • Stanford Encyclopedia of Philosophy, 'Deductive and Inductive Arguments' (https://plato.stanford.edu)
  • Wikipedia, 'Deductive reasoning' (https://en.wikipedia.org/wiki/Deductive_reasoning)

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