thematics 1 Sem 2
2.1.2 Quiz: Introduction to Proofs
Question 4 of 10
True or false? In the body of an indirect proof, you must show that the
assumption leads to a contradiction.
A. True
B. False
SUBMIT



Answer :

Final answer:

In indirect proofs, showing assumptions lead to contradictions is crucial for validity.


Explanation:

True. In the body of an indirect proof, you must show that the assumption leads to a contradiction. This is a common technique in proving the validity of statements by showing that assuming the opposite leads to a logical inconsistency.

Counterexample: If assuming the statement is true leads to a contradiction, then the statement itself is false.

Conditional proof: Demonstrating a statement by assuming its antecedent and proving its consequent within a subproof.


Learn more about Proof by contradiction here:

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