Proof by contradiction (HSC SSCE Mathematics Extension 2): Flashcards
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What is proof by contradiction?
What is proof by contradiction?
Assuming a statement is false to find a contradiction.
What is negation in proof by contradiction?
What is negation in proof by contradiction?
Assuming the opposite of the statement to prove.
What leads to a contradiction?
What leads to a contradiction?
Finding a logical error in the assumption made.
What is the first step in proof by contradiction?
What is the first step in proof by contradiction?
Clearly state the proposition you want to prove.
What is the result of negating a proposition?
What is the result of negating a proposition?
It leads to the opposite truth value of the original.
How many contradictions are needed to disprove?
How many contradictions are needed to disprove?
Only one contradiction is needed to disprove.
What is proof by contradiction in mathematics?
What is proof by contradiction in mathematics?
Assuming the opposite to show a statement is true.
What is the difference between contradiction and contraposition?
What is the difference between contradiction and contraposition?
Contradiction disproves by inconsistency; contraposition shows truth.
What does the conclusion of proof by contradiction show?
What does the conclusion of proof by contradiction show?
The original statement must be true if a contradiction is found.
What is a key feature of both proof methods?
What is a key feature of both proof methods?
Both use negation to explore logical implications.