Pure Year 1 Unit 7

Question 1

What does it mean to prove a mathematical statement true by exhaustion?

Answer 1

Breaking the statement into smaller cases and proving each case seperately

Question 2

What does it mean to prove a mathematical statement not true by counter-example?

Answer 2

A counter-example is one example that does not work for the statement, you do not need to give more than one example, as one is sufficient to disprove a statement

Question 3

What does it mean to prove a mathematical statement true by deduction?

Answer 3

Starting from known factors or definitions, then using logical steps to reach the desired conclusion