Language of Proof (Edexcel A-Level Mathematics): Quizzes

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Language of Proof
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What is a theorem in mathematical proof?

A proven statement based on axioms/theorems

What is a lemma?

A supporting theorem for proving results

What is a conjecture?

A statement believed true but not proven

What does the universal quantifier ∀\forall indicate?

Statement applies to all elements in a set

What does the existential quantifier ∃\exists indicate?

At least one element satisfies statement

What is the starting point for proof by deduction?

General principles or known facts

What method does proof by exhaustion use?

Considering all possible cases

What is the purpose of proof by counterexample?

Disprove a statement with specific example

In proof by contradiction, what do you assume?

The opposite of what you want to prove

What does the set N\mathbb{N} represent?

Natural numbers (positive integers ≥1\geq 1)

What does the set Z\mathbb{Z} represent?

All integers (positive, negative, zero)

What does the symbol ∩\cap represent in set notation?

Intersection (elements in common)

In interval notation, what do square brackets mean?

Can be equal to (inclusive)

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Proof

Proof by Contradiction

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Proof

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Proof

Proof by Contradiction

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