Assessment about proof by contradiction
Understand the Problem
The question is asking for an assessment or explanation of the concept of proof by contradiction, which is a method used in mathematics and logic to show that a statement must be true by assuming that it is false and then reaching a contradiction.
Answer
Proof by contradiction involves assuming the negation of the statement you want to prove, then deriving a contradiction from this assumption.
The final answer is Proof by contradiction involves assuming the negation of the statement you want to prove, then deriving a contradiction from this assumption.
Answer for screen readers
The final answer is Proof by contradiction involves assuming the negation of the statement you want to prove, then deriving a contradiction from this assumption.
More Information
Proof by contradiction is often used when a direct proof is challenging to construct. It is also called an indirect proof.
Tips
Common mistakes include not clearly stating the contradiction or improperly assuming the negation of the original statement.
Sources
- 3.3: Proof by Contradiction - Mathematics LibreTexts - math.libretexts.org
- Mathematics Tools: Proof by Contradiction - .edc.org
- Proof by contradiction - Wikipedia - en.wikipedia.org
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