Contradiction Method Quizzes, Questions & Answers

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Existence, Non-Existence, and Parity via Contradiction

Existence, Non-existence, And Parity Via Contradiction

Ready to level up your contradiction skills with more abstract ideas? In this quiz, you’ll apply proof by contradiction to statements about sets, divisibility, and “smallest” or “largest” objects, as...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
What is the key characteristic of a proof by contradiction?

It relies on deriving a contradiction.

It uses direct reasoning.

It avoids assumptions.

It only works for false statements.

Classic Number-Theoretic Proofs by Contradiction

Classic Number-theoretic Proofs By Contradiction

Think you can handle some of the most famous “impossible” proofs in math? This quiz lets you practice proof by contradiction on classic results from number theory and algebra. You’ll revisit the proofs that...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
What is the first step in a proof by contradiction?

Assume the negation of the statement is true.

Assume the statement is true.

Prove the statement directly.

Find a counterexample.

Core Ideas of Proof by Contradiction

Core Ideas Of Proof By Contradiction

Are you ready to flip your thinking and start a proof from the “wrong” side on purpose? In this quiz, you’ll learn how proof by contradiction works by assuming the opposite of what you want to prove and then...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
What is the primary goal of assuming the negation in a proof by contradiction?

To prove the negation true

To derive a contradiction

To avoid direct proof

To simplify the problem

Contradiction Method Quizzes, Questions & Answers

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